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Structural adhesives are materials that are capable of bearing significant loads in shear, and sometimes tension, over a range of strains and strain rates. Adhesively bonded structures can dissipate large amounts of mechanical energy and can be lighter and more efficient than many bolted or vibration welded parts. The largest barrier to using structural adhesives in more applications is the many challenges engineers are presented with when designing and analyzing adhesively bonded structures. This study develops, characterizes and compares several material models for use in finite element analysis of adhesively bonded structures, in general, and a bonded tongue and groove (TNG) joint in particular. The results indicate that it is possible to develop a general material model for ductile adhesives used in structural applications under quasi-static conditions. Furthermore, the results also show that it is also possible to take bulk material data and apply it to an adhesively bonded specimen provided that the mode of failure of the bulk test specimen closely approximates the mode of failure of the bonded joint. / Master of Science

In the literature, there are various material models proposed so as to model the constitutive behavior of hyperelastic materials for example, St. Venant-Kirchho_ model, Mooney-Rivlin model etc. The stability of such material models under various states of deformation is of important concern, and generally stability analysis is conducted in homogeneous states of deformation. Within hyperelasticity, instabilities can be broadly classified as geometrical and material types. Geometrical instabilities such as buckling, symmetric bifurcation etc. are of physical origin, and lead to multiple solutions at critical stretch. Material instability is a aw in the material model and leads to unphysical solutions at the onset. It is required that the constitutive model should be materially stable i.e., should not give unphysical results, and be able to predict correctly the onset of geometrical instabilities. Certain constitutive restrictions proposed in the literature are inadequate to characterize such instabilities. In the work, we propose stability criteria which will characterize geometrical as well as material instabilities. A new elasticity tensor is defined, which is found to characterize material instability adequately. In order to investigate the validity of proposed stability criteria, three important constitutive models of hyperelasticity viz., St. Venant-Kirchho_, compressible Mooney-Rivlin and compressible Ogden models are investigated for stability.

The project elaborated in frame of engineering studies branch M-STG describe characteristics of plasticity of non-anneal materials E 235, E 190 and E 220. Materials characteristic was receive by static and dynamical tests. Based on the literature study it was conducted survey of the current state of experimental techniques for high-speed deformation. The materials were designed by Holomon approximation of rigid-plastic material model without hardening. It was conducted force analyses for machine Unison MG 2790 for rewind bending and bend with compressive force considering the identified material model. It was describe the impact passive and active forces to move the neutral axis.

Unintentional drop of munitions could be encountered during the storage, transportation, and loading processes. In such an impact, malfunctioning of crucial components of munitions is the worst scenario that may be encountered and level of loads should not reach to critical levels. From two possible methods, experimental one is not frequently applied owing to high cost of money and time. On the contrary, particularly in last couple of years, interest is shifted to numerical simulations such as finite element method. In this thesis, foam materials will be investigated as energy absorbers to reduce the effect of loads during the impact. However, modeling the behavior of foam materials by FE codes is a challenging task. In other words, more than a few material parameters which are not commonly specified in literature are sufficient to represent the behavior of foams in an appropriate way. For this reason, material characteristics of the selected two foam materials, expanded polypropylene and v polyethylene, have been obtained in this study. Characterization of EPP and PE is followed by the selection of the appropriate material models in LS-DYNA which is a nonlinear explicit finite element code. Drop tests of munitions on which initially specified foam materials are integrated were done to identify the load levels. Validation of drop tests which are explained in detail in this thesis has been accomplished by LS-DYNA. Final section of the thesis is related to optimization of the foam geometry which will provide reducing load levels to allowable limits. After optimization studies, three alternative geometries which succeed in to reduce loads to allowable load levels were reached. Finally, one of three alternatives is selected considering cost and manufacturing difficulties.

Rapid development and stiff competition in material related industries such as the automotive, demand very high precision in end products in very quick time. The transformation of raw material into an intricate-shaped final product involves various intermediate steps like design, material selection, manufacturing processes, etc. In all these steps, an in-depth understanding of material behavior plays an important role. The available traditional methods such as trial-and-error, especially in the case of die design, become highly inefficient in terms of time and money. This, there is a growing interest in simulation of the final product in order to predict different parameters which are important in design and manufacturing. Currently available simulation techniques are based on existing theories of plasticity or large deformation. These theories have been developed over several decades and many theoretical and practical issues have been debated over the years. Though the theories have great utility in understanding and solving some practical problems, there are ranges of applications for which no acceptable models are available. Most of these theories are either materials or process-specific with oversimplified real physical situations using assumptions and empirical relations. Development of field equations from first principles to stimulate elasto-plastic deformation is one such, still a subject of on-going discussion. Materials and composites exhibit hysteresis even at very low stresses, i.e., inelasticity is always present under all types of loading. This observation shows that the representing constitutive relation cannot treat the elastic and plastic deformations separately. The deformation is due to changes in size and shape, and studies with varying strain rates show considerable material sensitivity to the rate of deformation. Therefore, a generalized field equation is developed from first principles in the Eulerian coordinate system using material resistance to changes in size and shape, and their rates. The formulation uses a unified approach representing continuous effect of elastic and plastic strains and strain rates. The field equation involves eight material parameters, viz. bulk modulus, shear modulus, material shear velocity, material bulk viscosity, and four more constants associated with activation points related to deviatoric and volumetric strains and plastic strain rates. The elastic moduli, bulk and shear, are constants, and so also the material viscosities, while plastic stain rates are functions of elastic strain rates. The field equation redces to Cauchy’s equation in the solid limit and Navier-Stokes equation in the fluid limit. Simple experimental measurements are suggested to obtain the numerical values of the material parameters. Uniaxial tension tests are carried out on commercially available mild steel and aluminium alloy at different strain rates to quantify any variations in the values of material parameters during large deformation. Experimental results and the classical understanding of material deformation reveal the constant nature of elastic moduli during large deformation and, from fluids, the viscosities seem to remain constant. Around the yield region, materials experience a sharp increase in absorbed energy which is modeled to represent the plastic strain rates. The variations and contributions from elastic and plastic strains, both volumetric and deviatoric, and the corresponding stresses are observed. The effects of strain rate on plastic stress and energy absorbed are investigated. The model is checked for different materials and loading conditions to ascertain the proposed changes to earlier theories. Available experimental data in the literature are used for this purpose. The analysis shows that, though the overall stress-strain relations of different materials look similar, their internal responses differ. The internal response of a material depends on various microstructural factors, like alloying elements, impurities, etc. The present model is able to capture those internal differences between various materials. Numerical solution of different plasticity problems have to be undertaken to ascertain the applicability, generality, realism, accuracy and feasibility of the model.

The aim of this thesis was to study the load bearing capacity of anchor plates, used for anchorage to concrete located at nuclear facilities. Two different type of anchor plates were examined, which together constitute the majority of the anchor plates used at Forsmark nuclear facility in Sweden. The first is a cast-in-place anchor plate with headed studs and the second is a post-installed anchor plate which uses sleevetype expansion anchors. Hence, anchors with both a mechanical or a frictional interlock to the concrete were examined. The main analysis tool was the finite element method, through the use of the two commercially available software packages ABAQUS and ADINA and their non-linear material models for concrete and steel. As a first step, the numerical methods were verified against experimental results from the literature. However, these only concern single anchors. The results from the verifications were then used to build the finite element models of the anchor plates. These were then subjected to different load combinations with the purpose to find the ultimate load capacity. Failure loads from the finite element analyses were then compared to the corresponding loads calculated according to the new European technical specification SIS-CEN/TS 1992-4 (2009). Most of the failure loads from the numerical analyses were higher than the loads obtained from the technical specification, although in some cases the numerical results were lower than the technical specification value. However, many conservative assumptions regarding the finite element models were made, hence there might still be an overcapacity present. All analyses that underestimate the failure load were limited to large and slender anchor plates, which exhibit an extensive bending of the steel plate. The bending of the steel plate induce shear forces on the anchors, which leads to a lower tensile capacity. In design codes, which assume rigid steel plates, this phenomenon is neglected. The failure loads from all different load combinations analysed were then used to develop failure envelopes as a demonstration of a useful technique, which can be utilised in the design process of complex load cases.

Este trabalho aborda o estudo de modelos constitutivos a fim de analisar o comportamento mecânico de um biopolímero derivado de óleo de mamona (Ricinus communis). A importância deste trabalho se dá ao fato de: servir como roteiro de ensaio de materiais poliméricos; completar caracterização do material estudado além do regime viscoelástico, bem como aplicação da análise do comportamento do material além do regime viscoelástico linear. A aplicação dos modelos avaliados via Método dos Elementos Finitos (MEF) exigiu o levantamento das propriedades e do comportamento mecânico do biopolímero, bem como a preparação dos ensaios, com as devidas especificações sugeridas pela ASTM (American Society for Testing and Materials) para cada tipo de ensaio. Assim, foram obtidos os corposde- prova (CDP) para a realização dos ensaios mecânicos quase-estáticos de tração, compressão e flexão (monotônicos e cíclicos), bem como, ensaio para análise dinâmicomecânica (Dynamic Mechanical Analysis - DMA) para a obtenção de propriedades associada às parcelas viscosas do material. Com estes foram obtidos parâmetros inerentes a cada tipo de ensaio, permeados com uma cuidadosa revisão bibliográfica sobre as implicações para a realização de cada ensaio. Uma outra etapa foi a verificação de modelos de plastificação baseados na teoria de von Mises, Drucker-Prager e de viscoelasticidade implementados no programa comercial ABAQUS®. Sendo que o objetivo maior foi a comparação dos resultados experimentais obtidos com os modelos em MEF. Os resultados para tração monotônica obtiveram erro de 0,61%, os resultados de compressão monotônica apresentaram erro de 1,5% e as simulações para os carregamentos cíclicos de tração e compressão não foram tão bons quanto os anteriores. Por isso se justifica a criação do modelo fenomenológico utilizando os parâmetros do material que foram identificados. / This work develops the study involving constitutive models with the objective to analyze the mechanical behavior of a biopolymer obtained from the Castor Oil Polyurethane (Ricinus communis). The importance of this work is due to the fact that: serves as a test script for the use of polymer materials; complete the characterization of the material studied beyond the viscoelastic realm, as well as the application of the analysis of the behavior of the material beyond the linear viscoelastic domain. The application of the evaluated models by way of the Finite Element Method (FEM), required the gathering of the properties and mechanical behavior of the biopolymer, as well as the preparation of the tests, with the required specifications suggested by the ASTM (American Society for Testing and Materials) for each type of test. Therefore, there were obtained the body-tests in order to run the mechanical quasi-static traction tests, tensile, compression and flexion (monotonic and cyclical) dynamicmechanical analysis (DMA) in order to obtain the properties associated with the viscous parts of the material. With these the inherent parameters were obtained for each specimen, permeated with a careful biographical revision of the implications for the experimenting of each specimen. Another phase was the verification of laminated models based on the theory by Von Mises, Drucker-Prager and of the viscoelasticity implemented in the commercial program ABAQUS®. The main objective being the comparison of the experimental results obtained with the models in FEM. The results for the monotonic traction obtained a error of 0,61%, the results of monotonic comparison presented an error of 1,5% and the simulations for the cyclical charges of traction and compression were not as good as the former. Therefore it justifies the creation of the phenomenological model utilizing the parameters of the materials that were identified.

Este trabalho aborda o estudo de modelos constitutivos a fim de analisar o comportamento mecânico de um biopolímero derivado de óleo de mamona (Ricinus communis). A importância deste trabalho se dá ao fato de: servir como roteiro de ensaio de materiais poliméricos; completar caracterização do material estudado além do regime viscoelástico, bem como aplicação da análise do comportamento do material além do regime viscoelástico linear. A aplicação dos modelos avaliados via Método dos Elementos Finitos (MEF) exigiu o levantamento das propriedades e do comportamento mecânico do biopolímero, bem como a preparação dos ensaios, com as devidas especificações sugeridas pela ASTM (American Society for Testing and Materials) para cada tipo de ensaio. Assim, foram obtidos os corposde- prova (CDP) para a realização dos ensaios mecânicos quase-estáticos de tração, compressão e flexão (monotônicos e cíclicos), bem como, ensaio para análise dinâmicomecânica (Dynamic Mechanical Analysis - DMA) para a obtenção de propriedades associada às parcelas viscosas do material. Com estes foram obtidos parâmetros inerentes a cada tipo de ensaio, permeados com uma cuidadosa revisão bibliográfica sobre as implicações para a realização de cada ensaio. Uma outra etapa foi a verificação de modelos de plastificação baseados na teoria de von Mises, Drucker-Prager e de viscoelasticidade implementados no programa comercial ABAQUS®. Sendo que o objetivo maior foi a comparação dos resultados experimentais obtidos com os modelos em MEF. Os resultados para tração monotônica obtiveram erro de 0,61%, os resultados de compressão monotônica apresentaram erro de 1,5% e as simulações para os carregamentos cíclicos de tração e compressão não foram tão bons quanto os anteriores. Por isso se justifica a criação do modelo fenomenológico utilizando os parâmetros do material que foram identificados. / This work develops the study involving constitutive models with the objective to analyze the mechanical behavior of a biopolymer obtained from the Castor Oil Polyurethane (Ricinus communis). The importance of this work is due to the fact that: serves as a test script for the use of polymer materials; complete the characterization of the material studied beyond the viscoelastic realm, as well as the application of the analysis of the behavior of the material beyond the linear viscoelastic domain. The application of the evaluated models by way of the Finite Element Method (FEM), required the gathering of the properties and mechanical behavior of the biopolymer, as well as the preparation of the tests, with the required specifications suggested by the ASTM (American Society for Testing and Materials) for each type of test. Therefore, there were obtained the body-tests in order to run the mechanical quasi-static traction tests, tensile, compression and flexion (monotonic and cyclical) dynamicmechanical analysis (DMA) in order to obtain the properties associated with the viscous parts of the material. With these the inherent parameters were obtained for each specimen, permeated with a careful biographical revision of the implications for the experimenting of each specimen. Another phase was the verification of laminated models based on the theory by Von Mises, Drucker-Prager and of the viscoelasticity implemented in the commercial program ABAQUS®. The main objective being the comparison of the experimental results obtained with the models in FEM. The results for the monotonic traction obtained a error of 0,61%, the results of monotonic comparison presented an error of 1,5% and the simulations for the cyclical charges of traction and compression were not as good as the former. Therefore it justifies the creation of the phenomenological model utilizing the parameters of the materials that were identified.

There is a high demand for implementing simulations in the design and product devel-opment processes, avoiding the execution of costly tests on prototypes and giving thechance of discarding unsuitable designs, as well as exploring possible ones without much cost added.This project assignment is to find a suitable way to simulate drop tests on two typesof PMMA sheets, a material widely used on luminaire covers. Therefore, it becomesnecessary to study the mechanical behavior of these materials, using experimental tests,in order to calibrate the material models used in the simulations.During the experimental testing, common polymer behaviors were found on the twostudied materials, such as rate dependence, non-linear elasticity, viscoelasticity and vis-coplasticy. Behaviors which presented several challenges regarding the choice and cali-bration of the material models.The two di?erent polymers were calibrated for the simulations using two di?erentmaterial models. An elastic-plastic (Drucker Prager Plasticity) model was used for oneof the materials, whereas an hyperelastic-viscoelastic model was used for the other one.Finally, several drop tests simulations were conducted and compared with experimentaltests