Intro; Danksagung; Zusammenfassung; Abstract; Contents; Glossaries; Abbreviations; Symbols; Notation; 1 Motivation and Outline; 2 Injection Moulded Short Fibre Reinforced Thermoplastics; 2.1 Polymeric Matrix Materials; 2.2 Reinforcement Fibres; 2.3 Composite Properties; 2.4 Injection Moulding; 2.5 Determination of Fibre Distributions; 2.6 State of the Art of SFRP Material Modelling; 3 Mechanical Basics; 3.1 Kinematics; 3.2 Stress; 3.3 Linear Elasticity; 3.4 Yield Condition and Plastic Potential; 3.5 Limit Criteria; 3.6 Damage; 3.7 Rate Dependency; 4 Material Characterisation
4.1 Choice of Material4.2 Coordinate System Definition; 4.3 Experimental Set-up; 4.3.1 Specimen Preparation; 4.3.1.1 Source Part Geometries; 4.3.1.2 Specimen Geometries; 4.3.2 Determination of Mechanical Properties; 4.3.2.1 Testing procedures and conditions; 4.3.2.2 Strain Analysis; 4.3.2.3 Stress Analysis; 4.3.2.4 Material Parametrisation; 4.3.2.5 Consideration of Damage; 4.3.2.6 Evaluation of Strain Rate Dependency; 4.3.3 Micro-Structural Analysis; 4.3.3.1 Testing Procedure; 4.3.3.2 Data Evaluation; 4.4 Experimental Results; 4.4.1 Anisotropic Stress-Strain Behaviour
4.4.2 Strain Rate Dependent Behaviour4.4.3 Damage Behaviour; 4.4.4 Dependency on the Stress State; 4.5 Discussion of Temperature Effects; 5 Material Modelling; 5.1 Overview; 5.2 Modelling of Linear Elasticity; 5.3 Modelling of Plastic Behaviour; 5.3.1 Yield Surface; 5.3.2 Flow Potential; 5.3.3 Effective Plastic Strain; 5.3.4 Effective Stress; 5.3.5 Relation of Plastic Strains and Effective Plastic Strain; 5.3.6 Hardening; 5.3.7 Determination of Flow Parameters; 5.3.8 Approximation of Hardening Curves; 5.3.9 Consideration of Different Orientation Distributions; 5.3.10 Rate Dependency
5.4 Modelling of Damage and Failure5.4.1 Damage Model; 5.4.2 Failure; 5.5 Numerical Implementation; 5.5.1 Return Mapping Algorithm; 5.5.2 Overview of the Implementation; 6 Verification; 6.1 Verification of Linear Elastic Response; 6.1.1 Influences on Model Predictions; 6.2 Verification of Plastic Response; 6.3 Numerical Verification of the Material Model; 6.3.1 Overview; 6.3.2 Tensile Loading; 6.3.3 Shear Loading; 6.3.4 Compressive Loading; 7 Considerations for Engineering Practice; 7.1 Determination of the Elastic Stiffness Matrix; 7.2 Determination of the Limit of Linear Deformation
Parametrisation of a Hill type yield surface7.3 Determination of Plastic Deformation; 7.4 Consideration of Damage and Failure; 8 Summary and Outlook; 8.1 Summary; 8.2 Outlook; References; Standards; Manuals; Appendix A Overview of Experiments and Sample Geometries; Appendix B Equations; B.1 Components of the Eshelby Tensor; B.2 Explicit Formulae for the Effective Stiffness Tensor of the Mori-Tanaka Model; B.3 Derivation of Parameters for Hill's Yield Surface; Appendix C Additional Results for Carbon Fibre Reinforced Thermoplastics