Trapp / Öchsner Computational Plasticity for Finite Elements

A Fortran-Based Introduction
1. Auflage 2018
ISBN: 978-3-319-77206-6
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 90 Seiten

Reihe: Engineering (R0)

This volume demonstrates the use of FORTRAN for numerical computing in the context of the finite element method. FORTRAN is still an important programming language for computational mechanics and all classical finite element codes are written in this language, some of them even offer an interface to link user-code to the main program. This feature is especially important for the development and investigation of new engineering structures or materials. Thus, this volume gives a simple introduction to programming of elasto-plastic material behavior, which is, for example, the prerequisite for implementing new constitutive laws into a commercial finite element program.

Autoren/Hrsg.

Trapp, Michael

Öchsner, Andreas

Inhaltsverzeichnis

1;Preface;6
2;Acknowledgements;7
3;Contents;8
4;Symbols and Abbreviations;9
5;1 Theoretical Foundation;12
5.1;1.1 Behavior of Elasto-Plastic Materials;12
5.2;1.2 Mathematical Model;13
6;2 One-Dimensional Continuum Approach;17
6.1;2.1 One-Dimensional Continuum Theory;17
6.2;2.2 FORTRAN Examples;24
7;3 One-Dimensional Finite Element Approach;29
7.1;3.1 One-Dimensional Finite Element Theory;29
7.2;3.2 FORTRAN Examples;36
8;4 Three-Dimensional Finite Element Approach;42
8.1;4.1 Three-Dimensional Finite Element Theory;42
8.2;4.2 FORTRAN Examples;51
9;5 Summary and Outlook;54
10;6 FORTRAN Source Codes;56
10.1;6.1 One-Dimensional Continuum Model;57
10.2;6.2 One-Dimensional Finite Element Models;62
10.3;6.3 One-Dimensional CPP Algorithm;77
10.4;6.4 Three-Dimensional Finite Element Model;80
11;A FORTRAN Variables;94
12;Appendix References;98