Computational Plasticity for Finite Elements (eBook)

​'Michael Trapp is a student at the Technical University of Munich (TUM), Germany, since 2016. Currently, he is majoring in Automotive and Combustion Engine Technology at TUM’s Department of Engineering. He obtained his B. Sc. degree in mechanical engineering at the Karlsruhe Institute of Technology, Germany (2016). During his studies at TUM, he did a DAAD-funded internship at the School of Engineering, Griffith University, Australia (2017)Andreas Öchsner is a Full Professor for lightweight design and structural simulation at the Esslingen University of Applied Sciences, Germany. Having obtained a Dipl.-Ing. degree in Aeronautical Engineering at the University of Stuttgart (1997), Germany, he served as a research and teaching assistant at the University of Erlangen-Nuremberg from 1997 to 2003 while working to complete his Doctor of Engineering Sciences (Dr.-Ing.) degree. From 2003 to 2006, he was an Assistant Professor at the Department of Mechanical Engineering and Head of the Cellular Metals Group affiliated with the University of Aveiro, Portugal. He spent seven years (2007–2013) as a Full Professor at the Department of Applied Mechanics, Technical University of Malaysia, where he was also Head of the Advanced Materials and Structure Lab. From 2014-2017 he was a Full Professor at the School of Engineering, Griffith University, Australia and Leader of the Mechanical Engineering Program (Head of Discipline and Program Director).

Preface 6
Acknowledgements 7
Contents 8
Symbols and Abbreviations 9
1 Theoretical Foundation 12
1.1 Behavior of Elasto-Plastic Materials 12
1.2 Mathematical Model 13
2 One-Dimensional Continuum Approach 17
2.1 One-Dimensional Continuum Theory 17
2.2 FORTRAN Examples 24
3 One-Dimensional Finite Element Approach 29
3.1 One-Dimensional Finite Element Theory 29
3.2 FORTRAN Examples 36
4 Three-Dimensional Finite Element Approach 42
4.1 Three-Dimensional Finite Element Theory 42
4.2 FORTRAN Examples 51
5 Summary and Outlook 54
6 FORTRAN Source Codes 56
6.1 One-Dimensional Continuum Model 57
6.2 One-Dimensional Finite Element Models 62
6.3 One-Dimensional CPP Algorithm 77
6.4 Three-Dimensional Finite Element Model 80
A FORTRAN Variables 94
Appendix References 98