This study focuses on developing novel modeling techniques for fiber-reinforced composites with polymer and ceramic matrix based on Peridynamic approach. To capture the anisotropic material behaviors of composites under quasi-static and dynamic loading conditions, a new peridynamic model for composite laminate and a modified peridynamic approach for non-uniform discretization are proposed in this study. In order to achieve the numerical implementation of the proposed model and approach, a mixed implicit-explicit solver based on GPU parallel computing is developed as well. The new peridynamic model for composite laminates does not have any limitation in fiber orientation, material properties and stacking sequence. It can capture the expected orthotropic material properties and coupling behaviors in laminates with symmetric and asymmetric layups. Unlike the previous models, the new model enables the evaluation of stress and strain fields in each ply of the laminate. Therefore, it permits the use of existing stress- or strain-based failure criteria for damage prediction. The computation of strain energy stored at material points allows the energy-based failure criteria required for delamination propagation and fatigue crack growth. The capability of this approach is verified against benchmark solutions, and validated by comparison with the available experimental results for three laminate layups with an open hole under tension and compression. The modified peridynamic approach for non-uniform discretization enables computational efficiency and removes the effect of geometric truncations in the simulation. This approach is a modification to the original peridynamic theory by splitting the strain energy associated with an interaction between two material points according to the volumetric ratio arising from the presence of non-uniform discretization and variable horizon. It also removes the requirement for correction of peridynamic material parameters due to surface effects. The accuracy of this approach is verified against the benchmark solutions, and demonstrated by considering cracking in nuclear fuel pellet subjected to a thermal load with non-uniform discretizations. Unlike the previous peridynamic simulations which primarily employs explicit algorithm, this study introduces implicit algorithm to achieve peridynamic simulation under quasi-static loading condition. The Preconditioned Conjugate Gradient (PCG) and Generalized Minimal Residual (GMRES) algorithms are implemented with GPU parallel computing technology. Circulant preconditioner provides significant acceleration in the convergence of peridynamic analyses. To predict damage evolution, the simulation is continued with standard explicit algorithms. The validity and performance of this mixed implicit-explicit solver is established and demonstrated with benchmark tests.

The present master thesis deals with the design of wheel disk for passenger car. The review part of this thesis summaries the history and development of the wheel; this is followed by a description of individual construction types of wheel disk for passenger car presently used. The construction part of this thesis provides a design of disk of given parameters based on the analysis of forces acting on the car wheel. For the purposes of design, the stress and fatigue analyses are performed.

An integrated procedure, combining finite element modeling and fatigue analysis methods, is developed and applied to the fatigue optimization of a notched, induction hardened, steel shaft subjected to combined bending and torsional loading. Finite element analysis is used first to develop unit-load factors for generating stress-time histories, and then, employing thermo-elastic techniques, to determine the residual stresses resulting from induction hardening. These stress fields are combined using elastic superposition, and incorporated in a fatigue analysis procedure to predict failure location and lifetime. Through systematic variation of geometry, processing, and loading parameters, performance surfaces are generated from which optimum case depths for maximizing shaft fatigue performance are determined. General implications of such procedures to the product development process are discussed. / Master of Science

Grande parte dos componentes mecânicos e estruturas são solicitados por carregamentos que variam com o tempo e frequentemente falham por fadiga. Neste sentido, é indubitável que o modo de falha por fadiga seja considerado no projeto mecânico de componentes, equipamentos e estruturas sujeitas a carregamentos cíclicos. Os livros de projetos de máquinas ainda são os mais utilizados na indústria como referência teórica e prática ao dimensionamento contra a fadiga de produtos. Entretanto, muitos deles ainda não incluem as últimas descobertas e metodologias mais modernas para o cálculo de durabilidade de estruturas. Adicionalmente, de uma maneira geral, grande parte dos livros especializados em fadiga também não trazem informações detalhadas sobre a previsão de vida em fadiga sob a ótica do projeto mecânico, como a análise utilizando critérios de Fadiga Multiaxial e a análise de fadiga baseada em Elementos Finitos (FE-Based Fatigue Analysis). Baseado neste cenário, este trabalho tem o objetivo de propor um procedimento para avaliar a vida em fadiga de componentes e estruturas reunindo os métodos mais recentes utilizados nesta área. Dentre os vários assuntos incluídos no procedimento proposto, destacam-se: as importantes contribuições propostas pelo Conselho Alemão de Pesquisa em Engenharia (FKM-Guideline); a utilização de Análise por Elementos Finitos (FEA) na previsão de vida em fadiga; o cálculo do fator de tensão média utilizando pseudo tensões provenientes de FEA; a contabilização do efeito de entalhe em componentes com geometria complexa utilizando o Método do Gradiente de Tensão Relativo em conjunto com FEA, que pode ser aplicado tanto em carregamento uniaxial quanto em carregamento multiaxial; a contabilização do dano por fadiga em carregamento multiaxial de amplitude variável; a densidade da malha de elementos finitos adequada para utilizar em fadiga computacional; e a aplicação da teoria e dos critérios de Fadiga Multiaxial, principalmente em FE-Based Fatigue Analyses, cuja utilização é imprescindível em estruturas sujeitas a tensões cíclicas em mais de uma direção (x,y,z). / Most of mechanical components and structures are subjected to time varying loading and therefore often present fatigue failure. Therefore, it is essential to consider the fatigue failure mode in the project of components, machines and structures under cyclic loading. Design of Machine Elements books are still the most used in industry as theoretical and practical reference for designing products against fatigue. However, many of them still do not include the latest findings and methodologies used in fatigue life assessment of structures. Additionally, overall, most of the specialized fatigue books also do not include detailed information about fatigue life assessment in a mechanical project view, as the fatigue analysis using Multiaxial Fatigue criteria and the fatigue life prediction using the Finite Element Method (FE-Based Fatigue Analysis). Based on this fact, this thesis proposes a procedure for predicting component and structures fatigue life, gathering together the most recent methods used in the fatigue area. Among the several subjects included in this procedure, we can highlight: the important contributions of the German Engineering Research Council (FKM-Guideline); the use of Finite Element Analysis (FEA) in the fatigue life assessment; the calculation of the mean stress factor using the pseudo stresses from FEA; the computation of the notch eect in geometrically complex components using the Relative Stress Gradient Method in conjunction with FEA, method which can be applied both in uniaxial loading and multiaxial loading; the estimation of the fatigue damage in structures under variable amplitude multiaxial fatigue loading; the selection of an adequate Finite Element mesh density to use in computational fatigue; and the aplication of the Multiaxial Fatigue theory and criteria, specially in FE-Based Fatigue Analyses, of which use is essential in structures under ciclic stresses in 2 or 3 directions (x,y,z).

Grande parte dos componentes mecânicos e estruturas são solicitados por carregamentos que variam com o tempo e frequentemente falham por fadiga. Neste sentido, é indubitável que o modo de falha por fadiga seja considerado no projeto mecânico de componentes, equipamentos e estruturas sujeitas a carregamentos cíclicos. Os livros de projetos de máquinas ainda são os mais utilizados na indústria como referência teórica e prática ao dimensionamento contra a fadiga de produtos. Entretanto, muitos deles ainda não incluem as últimas descobertas e metodologias mais modernas para o cálculo de durabilidade de estruturas. Adicionalmente, de uma maneira geral, grande parte dos livros especializados em fadiga também não trazem informações detalhadas sobre a previsão de vida em fadiga sob a ótica do projeto mecânico, como a análise utilizando critérios de Fadiga Multiaxial e a análise de fadiga baseada em Elementos Finitos (FE-Based Fatigue Analysis). Baseado neste cenário, este trabalho tem o objetivo de propor um procedimento para avaliar a vida em fadiga de componentes e estruturas reunindo os métodos mais recentes utilizados nesta área. Dentre os vários assuntos incluídos no procedimento proposto, destacam-se: as importantes contribuições propostas pelo Conselho Alemão de Pesquisa em Engenharia (FKM-Guideline); a utilização de Análise por Elementos Finitos (FEA) na previsão de vida em fadiga; o cálculo do fator de tensão média utilizando pseudo tensões provenientes de FEA; a contabilização do efeito de entalhe em componentes com geometria complexa utilizando o Método do Gradiente de Tensão Relativo em conjunto com FEA, que pode ser aplicado tanto em carregamento uniaxial quanto em carregamento multiaxial; a contabilização do dano por fadiga em carregamento multiaxial de amplitude variável; a densidade da malha de elementos finitos adequada para utilizar em fadiga computacional; e a aplicação da teoria e dos critérios de Fadiga Multiaxial, principalmente em FE-Based Fatigue Analyses, cuja utilização é imprescindível em estruturas sujeitas a tensões cíclicas em mais de uma direção (x,y,z). / Most of mechanical components and structures are subjected to time varying loading and therefore often present fatigue failure. Therefore, it is essential to consider the fatigue failure mode in the project of components, machines and structures under cyclic loading. Design of Machine Elements books are still the most used in industry as theoretical and practical reference for designing products against fatigue. However, many of them still do not include the latest findings and methodologies used in fatigue life assessment of structures. Additionally, overall, most of the specialized fatigue books also do not include detailed information about fatigue life assessment in a mechanical project view, as the fatigue analysis using Multiaxial Fatigue criteria and the fatigue life prediction using the Finite Element Method (FE-Based Fatigue Analysis). Based on this fact, this thesis proposes a procedure for predicting component and structures fatigue life, gathering together the most recent methods used in the fatigue area. Among the several subjects included in this procedure, we can highlight: the important contributions of the German Engineering Research Council (FKM-Guideline); the use of Finite Element Analysis (FEA) in the fatigue life assessment; the calculation of the mean stress factor using the pseudo stresses from FEA; the computation of the notch eect in geometrically complex components using the Relative Stress Gradient Method in conjunction with FEA, method which can be applied both in uniaxial loading and multiaxial loading; the estimation of the fatigue damage in structures under variable amplitude multiaxial fatigue loading; the selection of an adequate Finite Element mesh density to use in computational fatigue; and the aplication of the Multiaxial Fatigue theory and criteria, specially in FE-Based Fatigue Analyses, of which use is essential in structures under ciclic stresses in 2 or 3 directions (x,y,z).

Fatigue analysis is essential for the optimization of products subjected to dynamic loads. However, a number of fatigue analysis theories have been developed, how to apply an established method in real-world product designs is not a trivial task. Most of small or medium sized enterprises (SMEs) still rely heavily on the experiments to evaluate the fatigue lives of products. Among existing fatigue design methods (i.e., experiments, analytical methods, and simulations), the simulation-based methods have the advantages of low cost, low risk environment and enable a designer to determine the accuracy and performance of a product design without building physical prototypes. Regarding the methodologies for fatigue analysis, some identified challenges are (1) the characterization of dynamic loads, (2) the formulation of finite element models which can be aligned with applications or testing scenarios, and (3) the verification and validation of simulations. To make a simulation-based fatigue analysis more practical for real-world product designs, the solutions to the aforementioned problems must be found. This thesis aims to establish a systematic methodology to perform the fatigue analysis for product design with any material, carbon steel material is used for the present case study to illustrate and verify the proposed methodology for fatigue analysis. Major tasks involved in this thesis study are: 1).The method for the characterization of dynamic loads. It is a numerical method to simulate the kinematic and dynamic behaviors subjected to the given motion, and it is expected to extract interacting dynamic forces of components to be analyzed. 2).The systematic method and procedure to formulate the problem of fatigue analysis as a finite element analysis model and find the solution of fatigue life of product.3).The procedure and approaches are developed to verify and validate fatigue analysis models and procedure used for the present case study.4).The parametric studies with a set of design variables to show the feasibility and flexibility of using simulation methods to evaluate the influence of multiple design variables on wheel products.<br>

Brazing, as a type of joining process, is widely used in manufacturing industries to join individual components of a structure. Structural reliability of a brazed assembly is strongly dependent on the joint mechanical properties. In the present work, mechanical reliability of low carbon steel brazed joints with copper filler metal is investigated and a methodology for failure analysis of brazed joints using the cohesive zone model (CZM) is presented. Mechanical reliability of the brazed joints is characterized by strength and toughness. Uniaxial and biaxial strengths of the joints are evaluated experimentally and estimated by finite element method using the ABAQUS software. Microstructural analysis of the joint fracture surfaces reveals different failure mechanisms of dimple rupture and dendritic failure. Resistance of the brazed joints against crack propagation, evaluated by the single-parameter fracture toughness criterion, shows dependency on the specimen geometry and loading configuration. Fracture of the brazed joints and the subsequent ductile tearing process are investigated using a two-parameter CZM. The characterizing model parameters of the cohesive strength and cohesive energy are identified by a four-point bend fracture test accompanied with corresponding FE simulation. Using the characterized CZM, the joint fracture behavior under tensile loading is well estimated. Predictability of the developed cohesive zone FE model for fracture analysis of brazed joints independent of geometry and loading configuration is validated. The developed cohesive zone FE model is extended to fatigue crack growth analysis in brazed joints. A cyclic damage evolution law is implemented into the cohesive zone constitutive model to irreversibly account for the joint stiffness degradation over the number of cycles. Fatigue failure behavior of the brazed joints is characterized by performing fully reversed strain controlled cyclic tests. The damage law parameters are calibrated based on the analytical solutions and the experimental fatigue crack growth data. The characterized irreversible CZM shows applicability to fatigue crack growth life prediction of brazed joints.

Fatigue cracking is one primary distress in asphalt pavements, dominant especially in later years of service. Prediction of mixture fatigue resistance is critical for various applications, e.g., pavement design and preventative maintenance. The goal of this work was to develop a tool for prediction of binder aging level and mixture fatigue life in pavement from unaged binder/mixture properties. To fulfill this goal, binder oxidation during the early fast-rate period must be understood. In addition, a better hourly air temperature model is required to provide accurate input for the pavement temperature prediction model. Furthermore, a user-friendly software needs to be developed to incorporate these findings. Experiments were conducted to study the carbonyl group formation in one unmodified binder (SEM 64-22) and one polymer-modified binder (SEM 70-22), aged at five elevated temperatures. Data of SEM 64-22, especially at low temperatures, showed support for a parallel-reaction model, one first order reaction and one zero order reaction. The model did not fit data of SEM 70-22. The polymer modification of SEM 70-22 might be responsible for this discrepancy. Nonetheless, more data are required to draw a conclusion. Binder oxidation rate is highly temperature dependent. Hourly air temperature data are required as input for the pavement temperature prediction model. Herein a new pattern-based air temperature model was developed to estimate hourly data from daily data. The pattern is obtained from time series analysis of measured data. The new model yields consistently better results than the conventional sinusoidal model. The pavement aging and fatigue analysis (PAFA) software developed herein synthesizes new findings from this work and constant-rate binder oxidation and hardening kinetics and calibrated mechanistic approach with surface energy (CMSE) fatigue analysis algorithm from literature. Input data include reaction kinetics parameters, mixture test results, and pavement temperature. Carbonyl area growth, dynamic shear rheometer (DSR) function hardening, and mixture fatigue life decline are predicted as function of time. Results are plotted and saved in spreadsheets.

Detta examensarbete har utförts i samarbete med Fagerström Industrikonsult AB i Helsingborg. Fagerström Industrikonsult AB är ett ingenjörsföretag som har specialiserat sig på mekaniska och mekatroniska produkter inom flera branchområden. Ett av företagets tidigare projekt, som bland annat bygger på tryckbärande kärl och som kommer återanvändas för ett nytt projekt, är i behov av en uppdaterad analys mot utmattningsbrott.För att en tryckbärande utrustning skall kunna säljas och användas inom Europa, måste tillverkarna följa det Europeiska direktivet 97/23/EG, även kallat PED-direktiv. Detta direktiv sätter regler för konstruktion, tillverkning, märkning och kontroll. I Sverige finns denna beskrivning i Arbetsmiljöverkets författnings-samling (AFS 1999:4 2011). För att uppfylla alla de konstruktionsmässiga och tillverkningsmässiga krav på tryckkärlet som ställs i PED direktivet, så måste harmoniserade standarder användas. I detta arbete används tryckkärlsstandarden (SS-EN 13445-3: 2014) som sätter regler för design och verifiering av tryckbärande anordningar.Ett av projekten som finansierats av den Europeiska kommissionen, visade att 25% av alla tryckbärande anordningars haverier beror på utmattning. Tryckkärl är den typ av tryckbärande anordning, som är mest utsatt för skador orsakade av utmattning. Utmattningsbrott har varit känt sedan början på 1800-talet och man har länge studerat detta fenomen. Man har efter lång tids arbete hittat metodik för att ta fram analytiska modeller och prediktionstekniker samt säkra och noggranna livslängdsberäkningar för stålkonstruktioner. Fagerström Industrikonsult AB söker idag en metod för att utföra utmattningsanalys på tryckkärl i enlighet med tryckkärlsstandarden där linjärstatisk analys utförs med finita elementmetoden. Företaget eftersträvar också mer kunskap inom ämnet för att ge konstruktörerna bättre kännedom om utmattningsproblematiken samt ge möjlighet att redan i konstruktionsstadiet kunna sätta rimliga krav på tillverkning ur mekaniskt utmattningsperspektiv. / This master thesis has been carried out in collaboration with Fagerström Industrikonsult AB in Helsingborg. Fagerström Industrikonsult AB is an engineering company, specialized in mechanical and mechatronic products across a wide range of industry segments. One of the company's previous project, which is among other sub-products based on pressurized vessels, and that will be reused for a new project, needs an updated analysis against fatigue failure.In order to sell or use a pressurized equipment in Europe, the manufacturers must comply with the European Directive 97/23/EC, also called PED-directive. This directive sets the rules for design, production, marking and inspections. In Sweden, this directive is described in “Arbetsmiljöverkets Författningssamling” (AFS 1999:4 2011). In order to meet all the design and manufacturing requirements for pressure vessels that are required by the PED Directive, it is required to use harmonized standards. In this thesis, pressure vessel standard (SS-EN 13445-3: 2014) is used, which sets the rules for design and verification of pressure vessel.One of the projects funded by the European Commission, showed that 25 % of all pressure equipment failure are caused by fatigue. Pressure vessel is one type of these pressure equipment, which is most vulnerable to damage caused by fatigue. Fatigue failure has been known since the beginning of 19th century and this phenomenon has been studied for a long time. Under this extensive period of time, methods have been succefully developed for analytical models and prediction techniques as well as safe and accurate life calculations for steel structures. Fagerström Industrikonsult AB is today seeking a method to perform fatigue analysis of pressure vessels in accordance with European pressure vessel standard, where the linear static analysis is performed using the finite element method. The company is also pursuing more knowledge of the subject so its designers have more understanding of fatigue phenomena in order to be able to set reasonable requirements during design stage for production and in order to prevent this phenomena.

Brazing, as a type of joining process, is widely used in manufacturing industries to join individual components of a structure. Structural reliability of a brazed assembly is strongly dependent on the joint mechanical properties. In the present work, mechanical reliability of low carbon steel brazed joints with copper filler metal is investigated and a methodology for failure analysis of brazed joints using the cohesive zone model (CZM) is presented. Mechanical reliability of the brazed joints is characterized by strength and toughness. Uniaxial and biaxial strengths of the joints are evaluated experimentally and estimated by finite element method using the ABAQUS software. Microstructural analysis of the joint fracture surfaces reveals different failure mechanisms of dimple rupture and dendritic failure. Resistance of the brazed joints against crack propagation, evaluated by the single-parameter fracture toughness criterion, shows dependency on the specimen geometry and loading configuration. Fracture of the brazed joints and the subsequent ductile tearing process are investigated using a two-parameter CZM. The characterizing model parameters of the cohesive strength and cohesive energy are identified by a four-point bend fracture test accompanied with corresponding FE simulation. Using the characterized CZM, the joint fracture behavior under tensile loading is well estimated. Predictability of the developed cohesive zone FE model for fracture analysis of brazed joints independent of geometry and loading configuration is validated. The developed cohesive zone FE model is extended to fatigue crack growth analysis in brazed joints. A cyclic damage evolution law is implemented into the cohesive zone constitutive model to irreversibly account for the joint stiffness degradation over the number of cycles. Fatigue failure behavior of the brazed joints is characterized by performing fully reversed strain controlled cyclic tests. The damage law parameters are calibrated based on the analytical solutions and the experimental fatigue crack growth data. The characterized irreversible CZM shows applicability to fatigue crack growth life prediction of brazed joints.