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Table of contents
1 Framework of the Thesis
1.1 Introduction
1.2 Motivation
1.3 Objectives
1.4 Contents of the Thesis
1.5 Original contributions
1.6 Applications
2 Materials
2.1 Introduction
2.1.1 Strength differential effect – SD effect
2.1.2 Initial anisotropy
2.2 Oxygen Free High Conductivity Copper – OHFC Cu
2.3 E335 – high strength steel
2.4 Mechanical properties of chosen polymers
2.5 Concluding remarks
3 Experimental techniques and their methodology
3.1 Introduction
3.1.1 Schematic representation of stress states
3.1.2 Determining the yield strength
3.2 Uniaxial tension and compression test
3.2.1 FEM analysis of the tension and compression test
3.3 Shear test
3.3.1 The double shear test
3.3.2 FEM analysis of the double shear test
3.4 Biaxial compression test
3.4.1 Preliminary results of biaxial compression test
3.4.2 FEM analysis of biaxial compression test
3.5 Complex stress state test
3.6 Split-Hopkinson Pressure Bar test (SHPB) for dynamic compression
3.7 Concluding remarks
4 Burzynski material effort hypothesis
4.1 Introduction
4.2 General formulation of the yield condition
4.3 Visualization of yield criteria
4.4 Yield criteria in the literature
4.4.1 Traditional yield criteria
4.4.2 Criteria accounting for stress invariants J2; I1 and J2; I1; J3
4.4.3 Phenomenological criteria
4.5 Burzynski material effort hypothesis and the resulted criteria
4.5.1 Elastic energy
4.5.2 Hypothesis of variable limit energy of volume change and distortion .
4.5.3 Paraboloidal Burzynski criterion for isotropic materials
4.5.4 Burzynski criterion for materials with initial anisotropy
4.5.5 Smoothness of criterion for initially anisotropic materials
4.5.6 Phenomenological formulation of the Burzy´nski criterion
4.5.7 Concluding remarks
4.6 User subroutine for the Burzynski isotropic criterion
4.6.1 Analysis of the tensile test of notched specimens for E335 steel
4.6.2 Experimental and numerical results
4.6.3 Concluding remarks
5 Experimental results and applications of the Burzynski criteria
5.1 Introduction
5.2 Application for various materials
5.2.1 Yield surface basing on the complex state test results
5.2.2 Grey cast-iron
5.2.3 Titanium alloy – Ti6Al4V
5.2.4 Mg alloy
5.2.5 Metallic glasses
5.3 Application for FCC material – OFHC Copper
5.3.1 Results of strength tests
5.3.2 Yield surface for OFHC Cu
5.4 Applications for BCC materials – E335 steel
5.4.1 Results of strength tests for E335
5.4.2 Yield surface for E335
5.5 Applications for amorphous materials
5.5.1 SD effect in the polymers and its influence on the yield state
5.5.2 Results for polycarbonate
5.5.3 Results for PLA/PBAT
6 Conclusions
Appendixes
Appendix 1 – Constitutive models of strain rate sensitivity
Appendix 2 – Algorithm of Burzynski paraboloidal criterion
Appendix 3 – Project of biaxial compression set-up
References
