Fiber-reinforced composites comprise an important class of lightweight materials which are finding increasing applications in engineering structures including body components of automobiles and aircraft. Traditionally, synthetic fibers made of glass, carbon, etc. along with a polymeric resin have constituted the most common composites. However, due to environmental concern, occupational health safety considerations, higher cost, etc., research has been focused on substituting synthetic fibers, especially glass fibers with safer, economic and biodegradable natural fibers. Due to the ease of availability and affordability in terms of cost, woven jute mats, among a wide variety of natural fiber-based reinforcements, offer a good choice in combination with a suitable resin such as polyester or epoxy for fabrication of composite laminates. In structural applications, joining of parts made of jute fiber-reinforced composites (JFRCs) would be a natural requirement. Alternatives to joining processes for metals such as welding, riveting, etc. are required for composites. A joining process of high potential is adhesive bonding which has the advantages of reducing stress concentration, permitting fastening of dissimilar materials, etc. In the present study, adhesively bonded joints of JFRCs and their mechanical behavior are investigated under quasi-static and cyclic loading conditions. Initially, characterization of substrates is carried out under monotonic loading. This is followed by determination of stress- Strain curves, failure load and mean shear strength of bonded joints as functions of joint curing temperature and overlap length using a two-part structural epoxy adhesive. All tests are carried out according to relevant ASTM standards. It has been observed that higher curing temperatures give rise to only marginally high failure load and mean shear stress at failure compared to curing at room temperature. For a given curing temperature, failure load increases while mean shear strength decreases with respect to overlap length in both types of joints. As fatigue failure is a crucial consideration in design, the behavior of adhesively bonded JFRC joints is studied for the first time under cyclic loading conditions leading to the commonly-used S-N curve for characterization of failure of materials at different loading-unloading cycles. Interestingly, the fatigue strength for infinite life of adhesively bonded JFRC joints turns out to be approximately 30% of the quasi-static strength, a correlation which usually applies to materials in general. The effect of joint overlap length on fatigue life is studied and it is observed that the above relation between fatigue and quasi static strength is retained for different overlap lengths. Additionally, insights are provided into failure modes of joints under different loading conditions and for varying overlap lengths. Various empirical predictors such as exponent, power and hybrid models fitting the S-N curve are obtained and their relative efficacy (in terms of Coefficient of Determination R2, Adjusted-R2, Akaike’s Information Criterion and Residual Sum of Squares) enumerated in prediction of failure load including quasi-static failure load. As numerical simulation is an indispensable tool in designing geometrically complex structures under nonlinear conditions including failure and contact, finite element modeling of JFRC substrates, bulk adhesive and adhesively bonded joints has been investigated using implicit and explicit LS-DYNA solvers. In this context, the effects of various modeling parameters (mesh size and loading rate) and details of constitutive models capable of capturing plasticity and failure in an orthotropic composite and isotropic adhesive are discussed. Mesh size has been found to be an important parameter affecting computed results. Finally, a good correlation within ~(4% - 7%) was found between the predicted and experimental results for JFRC substrates, bulk adhesive and adhesively bonded single lap joints.

Adhesive bonding which has been in use for long as a traditional joining method has gained ground in the last couple of decades due to the introduction of advanced composite materials into the aerospace industry. Bonded structures have advantages such as high corrosion and fatigue resistance, ability to join dissimilar materials, reduced stress concentration, uniform stress distribution, good damping characteristics etc. They also have certain limitations like environmental degradation, existence of defects like pores, voids and disbonds, difficulty in maintenance and repair etc. A serious drawback in the use of adhesively bonded structures has been that there are no established comprehensive non-destructive testing (NDT) techniques for their evaluation. Further, a reliable evaluation of the effect of the existing defects on strength and durability of adhesive joints is yet to be achieved. This has been a challenge for the research and development community over several decades and hence, been the motivation behind this piece of research work. Under the scope of the work carried out in the thesis, some of the primary factors such as the existence of defects, degradation of the adhesive, stress and strain distribution in the bonded region etc., have been considered to study the bond integrity in composite to composite lap shear joints. The problem becomes complex if all the parameters affecting the adhesive joint are varied simultaneously. Taking this into consideration, one of the key parameters affecting the bond quality, viz., the adhesive layer degradation was chosen to study its effect on the bonded joint. The epoxy layer was added with different, definite amount of Poly vinyl alcohol (PVA) to arrive at sets of bonded joint specimens with varied adhesive layer properties. A thorough review of different non destructive testing methods applied to this particular problem showed that ultrasonic wave based techniques could be the right choice. To start with, preliminary experimental investigations were carried on unidirectional glass fiber reinforced plastic (GFRP-epoxy) lap joints. The adhesive joints were subjected to non destructive evaluation (NDE) using ultrasonic through transmission and pulse echo techniques as also low energy digital X-ray techniques. The results obtained showed a variation in reflected and transmitted ultrasonic pulse amplitude with bond quality. Digital X-Ray radiography technique showed a variation in the intensity of transmitted x-rays due to variation in the density of adhesive. Standard mechanical tests revealed that the addition of PVA decreased the bond strength. A plot of coefficient of reflection from the first interface and the bond strength showed a linear correlation between them. After obtaining a cursory feel and understanding of the parameters involved with the preliminary experiments on GFRP adhesive joints which yielded interesting and encouraging results, further work was carried on specimens made out of autoclave cured carbon fiber reinforced plastic (CFRP)-epoxy bonded joints. Normal incidence ultrasound showed a similar trend. Analyses of the Acoustic Emission (AE) signals generated indicate early AE activity for degraded joints compared to healthy joints. Literary evidences suggest that the ultrasonic shear waves are more sensitive to interfacial degradation. An attempt was made to use oblique incidence ultrasonic interrogation using shear waves. The amplitude of reflected shear waves from the interface increased with an increase in degradation. Further, a signal analysis approach in the frequency domain revealed a shift in the frequency minimum towards lower range in degraded samples. This phenomenon was verified using analytical models. An inversion algorithm was used to determine the interfacial transverse stiffness which decreased significantly due to increase in degradation. Conventional ultrasonic evaluation methods are rendered ineffective when a direct access to the test region is not possible; a different approach with guided wave techniques can be explored in this scenario. Investigations on CFRP-epoxy adhesive joints using Lamb waves showed a decrease in the amplitude of ‘So’ mode in degraded samples. Theoretical dispersion curves exhibited a similar trend. Frequency domain studies on the received modes using Gabor wavelet transform showed a negative shift in frequency with increased degradation. It was also observed that the maximum transmission loss for the most degraded sample with 40 percent PVA occurred in the range of 650 – 800 kHz. Non linear ultrasonic (NLU) evaluation revealed that the nonlinearity parameter (β) increased with increased degradation. Kissing bonds are most commonly occurring type of defects in adhesive joints and are very difficult to characterize. A recent non-contact imaging technique called digital image correlation (DIC) was tried to evaluate composite adhesive joints with varied percentage of inserted kissing bond defects. The results obtained indicate that DIC can detect the kissing bonds even at 50 percent of the failure load. In addition, to different experimental approaches to evaluate the bonded joint discussed above, the effect of degradation on the stresses in the bond line region was studied using analytical and numerical approach. A linear adhesive beam model based on Euler beam theory and a nonlinear adhesive beam model based on Timoshenko beam theory were used to determine the adhesive peel and shear stress in the joint. Digital image correlation technique was used to experimentally obtain the bond line strains and corresponding stresses were computed assuming a plane strain condition. It was found that the experimental stresses followed a similar trend to that predicted by the two analytical models. A maximum peel stress failure criterion was used to predict failure loads. A failure mechanism was proposed based on the observations made during the experimental work. It was further shown that the critical strain energy release rate for crack initiation in a healthy joint is much higher compared to a degraded joint. The analytical models become cumbersome if a larger number of factors have to be taken into account. Numerical methods like finite element analysis are found to be promising in overcoming these hurdles. Numerical investigation using 3D finite element analysis was carried out on CFRP-epoxy adhesive joints. The adherend – adhesive interface was modeled using connector elements whose stiffness properties as well as the bulk adhesive properties for joints with different amounts of PVA were determined using ultrasonic inspection method. The peel and shear stress variation along the adhesive bond line showed a similar trend as observed with the experimental stress distribution (DIC) but with a lesser magnitude. A parametric study using finite element based Monte-Carlo simulation was carried out to assess the effect of variation in various joint parameters like adhesive modulus, bondline thickness, adherend geometrical and material properties on peel and shear stress in the joint. It was found that the adhesive modulus and bond line thickness had a significant influence on the magnitude of stresses developed in the bond line. Thus, to summarize, an attempt has been made to study the bond line integrity of a composite epoxy adhesive lap joint using experimental, analytical and numerical approaches. Advanced NDE tools like oblique incidence ultrasound, non linear ultrasound, Lamb wave inspection and digital image correlation have been used to extract parameters which can be used to evaluate composite bonded joints. The results obtained and reported in the thesis have been encouraging and indicate that in specific cases where the bond line thickness and other relevant parameters if can be maintained or presumed reasonably non variant, it is possible to effectively evaluate the integrity of a composite bonded joint.

Les lanceurs spatiaux sont des structures complexes associant une multitude de composants. L’assemblage de ces éléments doit répondre à un niveau de performance élevé. Le collage structural demeure un bon candidat en raison des nombreux avantages qu’il présente. Cependant, cette technologie montre des inconvénients. En raison des changements brusques de géométrie et de propriétés matériaux, des concentrations de contraintes apparaissent aux extrémités du joint de colle. Ce phénomène appelé effets de bords est néfaste pour la tenue mécanique de l’assemblage collé. La présence des effets de bords exclut l’utilisation de critères en contrainte utilisés classiquement. Le dimensionnement d’assemblages collés requiert des outils fiables prenant en compte ces effets de bords. Dans cette étude, un modèle de ruine incrémentale, associant une approche en contrainte et en énergie, est utilisé. L’utilisation de cet outil dans un cadre industriel, impose de répondre aux besoins d’un Bureau d’Études, notamment en termes de coût de calculs. Afin de le diminuer, une implémentation semi-analytique, est tout d’abord développée. Puis, une seconde méthode d’implémentation, basée sur la méthode des Eléments Finis, permet une prévision plus précise de la ruine d’un assemblage. La pertinence de ces deux approches a été vérifiée pour plusieurs configurations de joints collés. Des campagnes d’essais, destinées à confronter les résultats expérimentaux aux prévisions numériques, ont été réalisées. Dans le cadre de ce travail, un montage de collage et d’essai pour assemblages tubulaires a en particulier été développé. L’objectif du pré-dimensionnement est d’identifier une zone d’intérêt dans l’ensemble du domaine d’étude. Aussi, une étude paramétrique peut être requise afin de réaliser cette tâche. Afin de réduire le coût de calcul, une méthode d’interpolation spatiale appelée Krigeage a été mise en œuvre, et permet la construction efficace d’une surface de réponse. / Space Launchers are complex structures composed of a large number of elements. The assembling of these components must show a high level of reliability. The use of adhesive bonding technology is an interesting solution since it presentsseveral assets compared to “classical” joint techniques (such as riveting, bolting and welding), mainly because it can help to construct lighter and less energy consuming systems However„ the implementation of adhesives also has somedrawbacks. Due to the strong variations of geometrical and material properties, stress concentrations appear at the extremities of the joint. This phenomenon; called edge effects; has a great influence on the failure of the bond. As a result, the simple use of a classical stress or energetic criteria is not appropriate to predict the fracture of such structures. Therefore, it is obvious that the design of bonded assemblies requires reliable tools to take the edge effects into account. In this work an incremental failure model, which combines the stress and energetic criteria, is used. In order to decrease the computational cost, a semi-analytical application of this model is proposed. This is intended to make the approach more interesting to be implemented in an industrial environment. The accuracy of the prediction of the failure load is enhanced by means of the Finite Element method. The reliability of both the semi-analytical and Finite Element approaches is verified by comparing the model predictions with experimental data issued from double-notched Arcan and tubular specimen geometries. The aim of the pre-design phase is to identify the critical area in the whole range of the application of the studied geometry. Therefore, the realization of a parametric study is required in order to build a response surface. In the present study, this has been achieved by means of spatial interpolation using the Kriging model.

No description available.

This dissertation is to obtain an overall understanding of the crack path selection in adhesively bonded joints. Using Dow Chemical epoxy resin DER 331® with various levels of rubber concentration as an adhesive, and aluminum 6061-T6 alloy with different surface pretreatments as the adherends, both symmetric and asymmetric double cantilever beam (DCB) specimens are prepared and tested under mixed mode fracture conditions in this study. Post-failure analyses conducted on the failure surfaces indicate that the failure tends to be more interfacial as the mode II component in the fracture increases whereas more advanced surface preparation techniques can prevent failure at the interface. Through mechanically stretching the DCB specimens uniaxially until the adherends are plastically deformed, various levels of T-stress are achieved in the specimens. Test results of the specimens with various T-stresses demonstrate that the directional stability of cracks in adhesive bonds depends on the T-stress level. Cracks tend to be directionally stable when the T-stress is compressive whereas directionally unstable when the T-stress is tensile. However, the direction of crack propagation is mostly stabilized when more than 3% mode II fracture component is present in the loading regardless of the T-stress levels in the specimens. Since the fracture sequences in adhesive bonds are closely related to the energy balance in the system, an energy balance model is developed to predict the directional stability of cracks and the results are consistent with the experimental observations. Using the finite element method, the T-stress is shown to be closely related to the specimen geometry, indicating a specimen geometry dependence of the directional stability of cracks. This prediction is verified through testing DCB specimens with various adherend and adhesives thicknesses. By testing the specimens under both quasi-static and low-speed impact conditions, and using a high-speed camera to monitor the fracture sequence, the influences of the debond rate on the locus of failure and the directional stability of cracks are investigated. Post-failure analyses suggest that the failure tends to be more interfacial when the debond rate is low and tends to be more cohesive when the debond rate is high. However, this rate dependence of the locus of failure is greatly reduced when more advanced surface preparation techniques are used in preparing the specimens. The post-failure analyses also reveal that cracks tend to be more directionally unstable as the debond rate increases. Finally, employing interface mechanics and extending the criteria for the direction of crack propagation to adhesively bonded joints, the crack trajectories for directionally unstable cracks are predicted and the results are consistent with the overall features of the crack paths observed experimentally. / Ph. D.

Noise and vibration suppression is an important aspect in the design process of structures and machines. Undesirable vibrations can cause fatigue in a structure and are, therefore, a risk to the safety of a structure. One of the most effective and widely used methods of mitigating these unwanted vibrations from a system is passive damping, by using a viscoelastic material. This dissertation will primarily focus on constrained layer passive damping treatments in structures and the investigation of associated complex modes. The key idea behind constrained damping treatment is to increase damping as affected by the presence of a highly damped core layer vibrating mainly in shear. Our main goal was to incorporate viscoelastic material in a thick stiffened panel with plate-strip stiffeners, to enhance the damping characteristics of the structure. First, we investigated complex damped modes in beams in the presence of a viscoelastic layer sandwiched between two elastic layers. The problem was solved using two approaches, (1) Rayleigh beam theory and analyzed using the principle of virtual work, and (2) by using 2D plane stress elasticity based finite-element method. The damping in the viscoelastic material was modeled using the complex modulus approach. We used FEM without any kinematic assumptions for the transverse shear in both the core and elastic layers. Moreover, numerical examples were studied, by including complex modulus in the base and constraining layers. The loss factor was calculated by modal strain energy method, and by solving a complex eigenvalue problem. The efficiency of the modal strain energy method was tested for different loss factors in the core layer. Complex mode shapes of the beam were also examined in the study, and a comparison was made between viscoelastically damped and non-proportionally damped structures. Secondly, we studied the free vibration response of an integrally stiffened and/or stepped plate. The stiffeners used here were plate-strip stiffeners, unlike the rib stiffeners often investigated by researchers. Both plate and stiffeners were analyzed using the first-order shear deformation theory. The deflections and rotations were assumed as a product of Timoshenko beam functions, chosen appropriately according to the given boundary conditions. Unlike Navier and Levy solution techniques, the approach used here can also be applied to fully clamped, free and cantilever supported stiffened plates. The governing differential equations were solved using the Rayleigh-Ritz method. The development of the stiffness and the mass matrices in the Ritz analysis was found to consume a huge amount of CPU time due to the recursive integration of Timoshenko beam functions. An approach is suggested to greatly decrease this amount of CPU time, by replacing the recursive integration in a loop structure in the computer program, with the analytical integration of the integrand in the loop. The numerical results were compared with the exact solutions available in the literature and the commercially available finite-element software ABAQUS. Some parametric studies were carried out to show the influence of certain important parameters on the overall natural frequencies of the stiffened plate. Finally, we investigated the damped response of an adhesively bonded plate employing plate-strip stiffeners, using FSDT for both the plate and stiffeners. The problem was analyzed using the principle of virtual work. At first, we did not consider damping in the adhesive in order to validate our code, by comparing our results with those available in the literature as well as with the results obtained using ABAQUS 3D model. The results were found to be highly satisfactory. We also considered the effect of changing the stiffness of the adhesive layer on the vibration of the bonded system. As a second step, we included damping in the stiffened structure using complex modulus approach, a widely used technique to represent the rheology of the viscoelastic material. We observed an overall increase in the natural frequencies of the system, due to the damping provided by the viscoelastic material. Moreover, it was noticed that when the thickness of the adhesive layer is increased, the natural frequencies and loss factor of the stiffened structure decrease. A viscoelastic material with high loss factor and small thickness will be a perfect design variable to obtain overall high damping in the structure. / Ph. D.

In this thesis, a new modeling methodology applicable to adhesively bonded joints for crash simulations is presented. Using this approach, adhesive joints can be modeled without using minute solid elements thus reducing the size of the model. Moreover, coarse mesh can be used for substrates in the overlap region of a joint. Both of these improvements together yield significant reduction in simulation run times in crash analysis when compared to solid element representation of adhesive. The modeling can also capture effects of strain rate for a given ambient temperature. In order to develop the efficient modeling procedure mentioned above, experimental, analytical and numerical studies have been carried out. Mechanical behaviors of adhesively bonded joints are studied with the help of double lap shear (DLS) coupon tests conducted at different extension rates and temperatures. The joint specimens are made from dual-phase (DP) steel coupons bonded with epoxy resin. Tests are also carried out to ascertain the behaviors of these component materials at different extension rates and temperatures. A new semi-analytical solution procedure is developed considering material nonlinearity to predict mechanical behaviors of adhesively bonded DLS joints. The joint behaviors using the semi-analytical approach are predicted separately using the Von Mises and exponent Drucker-Prager yield criteria. The predicted force versus extension curves using semi-analytical solution are compared with test results. It is also hypothesized here that, the semi-analytical solution procedure can be used as a base to develop efficient modeling procedures of adhesively bonded joints in FEA. In finite element analysis, both adhesive and substrates are modeled as elastic-plastic materials. It is shown that the shell-solid model of the DLS joint, in which substrates are modeled using shell elements and adhesive is modeled using solid elements, can accurately predict the mechanical behavior of the joint. Both exponent Drucker-Prager and Von Mises material models in ABAQUS are used to calculate force versus extension curves. Numerical and experimental forces versus extension curves are compared. A new methodology for efficient modeling of adhesively bonded joints in LS-DYNA using equivalent material properties in the joint overlap region is proposed. Various models using this methodology are assessed by comparing their results with shell-solid model and test results. Finally, it is also shown that strain rate effects can be included in the efficient modeling approach.

Στην παρούσα διπλωματική εργασία αναπτύχθηκε τρισδιάστατο αριθμητικό μοντέλο με βάση την μέθοδο των πεπερασμένων στοιχείων για την προσομοίωση της μηχανικής συμπεριφοράς συνδέσεων με κόλλα πολύστρωτων πλακών. Το μοντέλο αναπτύχθηκε χρησιμοποιώντας το εμπορικό πακέτο πεπερασμένων στοιχείων ANSYS. Για την προσομοίωση της συμπεριφοράς της κόλλας χρησιμοποιήθηκαν δύο προσεγγίσεις: η μοντελοποίηση της ζώνης συνοχής και η μοντελοποίηση της βλάβης του συνεχούς μέσου. Οι δύο αυτές προσεγγίσεις συγκρίθηκαν τόσο ως προς την αξιοπιστία τους, η οποία καθορίζεται από την σύγκριση με πειραματικά αποτελέσματα, όσο και ως προς την ευκολία εφαρμογής τους, η οποία καθορίζεται από τα δεδομένα που απαιτούνται και τον υπολογιστικό χρόνο. Η σύγκριση των δύο μεθοδολογιών έγινε στην βάση της εφαρμογής τους για την προσομοίωση της μηχανικής συμπεριφοράς σε φόρτιση τύπου Ι σύνδεσης με κόλλα μεταξύ δύο ψευδοισότροπων CFRP πολύστρωτων πλακών. Το συγκεκριμένο πρόβλημα επελέγη διότι υπήρχαν διαθέσιμα πειραματικά αποτελέσματα προς σύγκριση στο Εργαστήριο. Οι πολύστρωτες πλάκες μοντελοποιήθηκαν χρησιμοποιώντας το στρωματικό στοιχείο του ANSYS SOLID185. Στο στοιχείο αυτό κάθε στρώση μοντελοποιείται ξεχωριστά ως ορθότροπο υλικό. Η εφαρμογή της μοντελοποίησης της ζώνης συνοχής έγινε μέσω της χρήσης του στοιχείου του ANSYS INTER205. Για την εφαρμογή της μοντελοποίησης της βλάβης του συνεχούς μέσου αναπτύχθηκε μακρο-ρουτίνα χρησιμοποιώντας την γλώσσα προγραμματισμού του κώδικα ANSYS. Τα αριθμητικά αποτελέσματα έδειξαν ότι και οι δύο μεθοδολογίες προσομοιώνουν με ικανοποιητική ακρίβεια την καμπύλη δύναμης-μετατόπισης της σύνδεσης. Σχετικά με την ευκολία εφαρμογής των δύο μεθόδων, η σύγκριση έδειξε ότι η μέθοδος της μοντελοποίησης της ζώνης συνοχής υπερτερεί έναντι της μεθόδου μοντελοποίησης της βλάβης του συνεχούς μέσου διότι απαιτεί μικρότερο αριθμό δεδομένων, μειονεκτεί όμως ως προς τον απαιτούμενο υπολογιστικό χρόνο. Και οι δύο μέθοδοι κρίνονται κατάλληλες για χρήση στην αριθμητική σχεδίαση συνδέσεων με κόλλα. / This work is based on the development of three-dimensional numerical model based on the finite element method to simulate the mechanical behavior of adhesive bonded joints in composite materials. The model was developed in finite element procedures under the framework of the commercial software ANSYS. To simulate the behavior of the adhesive used two approaches: the cohesive zone modeling (CZM) and the continuum damage modeling (CDM). These two approaches are compared both in terms of reliability, which is determined by comparison with experimental results, and applicability, which is determined by the parameters required and the computational time. The comparison between the two methodologies was the basis of their application to simulate the mechanical behavior under mode-I fracture behavior of adhesively bonded joints between two CFRP plates. This problem was chosen because there were experimental results to compare in the laboratory. The sandwich plates are modeled using the stromal element of ANSYS SOLID185. This item each layer separately modeled as orthotropic material. The adhesive is modeled using the interface element of ANSYS INTER205. For the purpose of modeling the failure of continuous medium developed macro routine using the programming language code ANSYS. The numerical results showed that both methodologies simulate sufficient precision the curve force-displacement of the connection. About applicability of the two methods, the comparison showed that the process of cohesive zone modeling outweighs the process of continuum damage modeling because it requires less number of parameters, but falls to the computational time. Both methods are suitable for use in numerical design of adhesively bonded joints.

Structural adhesives are widely used with great success, and yet occasional failures can occur, often resulting from improper bonding procedures or joint design, overload or other detrimental service situations, or in response to a variety of environmental challenges. In these situations, cracks can start within the adhesive layer or debonds can initiate near an interface. The paths taken by propagating cracks can affect the resistance to failure and the subsequent service lives of the bonded structures. The behavior of propagating cracks in adhesive joints remains of interest, including when some critical environments, complicated loading modes, or uncertainties in material/interfacial properties are involved. From a mechanics perspective, areas of current interest include understanding the growth of damage and cracks, loading rate dependency of crack propagation, and the effect of mixed mode fracture loading scenarios on crack path selection. This dissertation involves analytical, numerical, and experimental evaluations of crack propagation in several adhesive joint configurations. The main objective is an investigation of crack path selection in adhesively bonded joints, focusing on in-plane fracture behavior (mode I, mode II, and their combination) of bonded joints with uniform bonding, and those with locally weakened interfaces. When removing cured components from molds, interfacial debonds can sometimes initiate and propagate along both mold surfaces, resulting in the molded product partially bridging between the two molds and potentially being damaged or torn. Debonds from both adherends can sometimes occur in weak adhesive bonds as well, potentially altering the apparent fracture behavior. To avoid or control these multiple interfacial debonding, more understanding of these processes is required. An analytical model of 2D parallel bridging was developed and the interactions of interfacial debonds were investigated using Euler-Bernoulli beam theory. The numerical solutions to the analytical results described the propagation processes with multiple debonds, and demonstrated some common phenomena in several different joints corresponding to double cantilever beam configurations. The analytical approach and results obtained could prove useful in extensions to understanding and controlling debonding in such situations and optimization of loading scenarios. Numerical capabilities for predicting crack propagation, confirmed by experimental results, were initially evaluated for crack behavior in monolithic materials, which is also of interest in engineering design. Several test cases were devised for modified forms of monolithic compact tension specimens (CT) were developed. An asymmetric variant of the CT configuration, in which the initial crack was shifted to two thirds of the total height, was tested experimentally and numerically simulated in ABAQUS®, with good agreement. Similar studies of elongated CT specimens with different specimen lengths also revealed good agreement, using the same material properties and cohesive zone model (CZM) parameters. The critical specimen length when the crack propagation pattern abruptly switches was experimentally measured and accurately predicted, building confidence in the subsequent studies where the numerical method was applied to bonded joints. In adhesively bonded joints, crack propagation and joint failure can potentially result from or involve interactions of a growing crack with a partially weakened interface, so numerical simulations were initiated to investigate such scenarios using ABAQUS®. Two different cohesive zone models (CZMs) are applied in these simulations: cohesive elements for strong and weak interfaces, and the extended finite element method (XFEM) for cracks propagating within the adhesive layer. When the main crack approaches a locally weakened interface, interfacial damage can occur, allowing for additional interfacial compliance and inducing shear stresses within the adhesive layer that direct the growing crack toward the weak interface. The maximum traction of the interfacial CZM appears to be the controlling parameter. Fracture energy of the weakened interface is shown to be of secondary importance, though can affect the results when particularly small (e.g. 1% that of the bulk adhesive). The length of the weakened interface also has some influence on the crack path. Under globally mixed mode loadings, the competition between the loading and the weakened interface affects the shear stress distribution and thus changes the crack path. Mixed mode loading in the opposite direction of the weakened interface is able to drive the crack away from the weakened interface, suggesting potential means to avoid failure within these regions or to design joints that fail in a particular manner. In addition to the analytical and numerical studies of crack path selection in adhesively bonded joints, experimental investigations are also performed. A dual actuator load frame (DALF) is used to test beam-like bonded joints in various mode mixity angles. Constant mode mixity angle tracking, as well as other versatile loading functions, are developed in LabVIEW® for use with a new controller system. The DALF is calibrated to minimize errors when calculating the compliance of beam-like bonded joints. After the corrections, the resulting fracture energies ( ) values are considered to be more accurate in representing the energy released in the crack propagation processes. Double cantilever beam (DCB) bonded joints consisting of 6061-T6 aluminum adherends bonded with commercial epoxy adhesives (J-B Weld, or LORD 320/322) are tested on the DALF. Profiles of the values for different constant mode mixity angles, as well as for continuously increasing mode mixity angle, are plotted to illustrate the behavior of the crack in these bonded joints. Finally, crack path selection in DCB specimens with one of the bonding surfaces weakened was studied experimentally, and rate-dependency of the crack path selection was found. Several contamination schemes are attempted, involving of graphite flakes, silicone tapes, or silane treatments on the aluminum oxide interfaces. In all these cases, tests involving more rapid crack propagation resulted in interfacial failures at the weakened areas, while slower tests showed cohesive failure throughout. One possible explanation of this phenomenon is presented using the rate-dependency of the yield stress (commonly considered to be corresponding to the maximum traction) of the epoxy adhesives. These experimental observations may have some potential applications tailoring adhesive joint configurations and interface variability to achieve or avoid particular failure modes. / Ph. D.

Durant ces dernières années, les émissions de CO2 liées à l’utilisation des voitures ont atteint des niveaux critiques contribuant au réchauffement climatique et causant des problèmes de santé. Afin de réduire ces émissions, l’industrie automobile française a décidé de réduire la masse des véhicules via l’utilisation de matériaux plus légers tels que les matériaux composites. Cependant, les techniques d'assemblage classiquement utilisées ne sont pas compatibles pour assembler ces nouveaux matériaux à la structure du véhicule (acier et aluminium). Le principal objectif de cette étude a donc été la caractérisation et la modélisation de nouvelles techniques d'assemblages multimatériaux permettant une bonne résistance mécanique.Quatre techniques d’assemblages multi-matériaux (métal/composite) ont été étudiées : (i) le collage par goujon, (ii) la soudure laser, (iii) le rivetage auto-perçant et (iv) le collage. Des essais traditionnels de simple recouvrement et de traction transverse ont été utilisés pour caractériser les deux premières techniques. Ensuite, un nouveau test de caractérisation basé sur un dispositif Arcan modifié a été proposé pour analyser le comportement des assemblages rivetés et le collage. Parmi les quatre techniques testées, le collage a été retenu comme la technique la plus adaptée aux exigences de l'industrie. Par conséquent, des essais Arcan ont été réalisés afin de déterminer le comportement quasi-statique des adhésifs de l’étude (Betamate1822 et Sikapower498). Ces essais ont ensuite été utilisés pour proposer et identifier une nouvelle loi de comportement 3D viscoélastique spectrale non-linéaire. La procédure d'identification des paramètres des adhésifs n'est basée que sur trois essais de fluage multiniveaux, permettant un dimensionnement rapide des structures collées. Enfin, la loi de comportement proposée a été validée grâce à la bonne corrélation entre les prédictions numériques et les courbes expérimentales des essais monotones à différents vitesses de sollicitation et des essais de traction incrémentale.La présente étude a été développée dans le cadre d’un projet automobile. Néanmoins, les conclusions et les perspectives de l'étude peuvent être extrapolées à d'autres domaines tout aussi intéressants. / Nowadays, the emissions of CO2 due to the use of automobiles have reached critical levels causing global warming and health problems. In order to reduce these emissions, the French automotive industry has decided to reduce the car weight by means of the use of lighter materials such as composite materials. However, the classical joining techniques are not adapted to assembly these new materials to the structure of the car (aluminum and steel alloys). Therefore, the characterization and modeling of new joining techniques of dissimilar materials is a problem that has been treated in the current study.Four different joining techniques of dissimilar materials (metal/composite) have been studied: (i) stud bonding, (ii) laser welding, (iii) self-pierce riveting and (iv) adhesive bonding systems. Traditional lap-shear and cross-tension tests were used to characterize the first two joining techniques. Then, a new characterization test based on a modified Arcan device has been proposed to analyze the behavior of self-piercing rivet and adhesive bonding systems. Among all the four tested techniques, adhesive joints have been selected as the most adapted technique according to the requirements of the industry. Therefore, modified Arcan tests have been performed in order to determine the behavior of the adhesives of the study (Betamate1822 and Sikapower498). These tests were then used to propose and identify a new 3D non-linear viscoelastic spectral model. The identification procedure of the material parameters is only based on three multilevel creep tests, which permits the rapid dimensioning of adhesively bonded structures. Finally, the proposed behavior law was validated by the good concordance between the numerical predictions and the experimental curves of monotonic tests at different loading rates and increasing cyclic tests.The current study was developed in the framework of an automotive project. Nevertheless, the conclusions and prospects of the study can be extrapolated to other interesting fields.