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Background to Material Non-Linear Benchmarks


This report aims to provide an understanding of nonlinear Finite Element analysis of problems in which the material behaviour is assumed nonlinear, by using suitable nonlinear benchmarks.

Two types of material nonlinearities are covered, plasticity as a time-independent material behaviour, and creep as a time-dependent material behaviour. An introduction to the fundamental theory of plasticity and creep and an overview of Finite Element nonlinear algorithms are presented in order to provide an insight into how Finite Element algorithms deal with material nonlinearities, and to highlight difficulties that may be encountered in practice. 

Specially ‘selected sets of benchmark tests for material nonlinearities are presented in detail to enable. the reader to run the tests to gain an understanding of nonlinear material behaviour.


Contents

Introduction

  • Scope
  • Classification of Nonlinearities
  • General Nonlinear Solution Procedures
  • Finite Element Incremental-iterative Procedures
  • Difficulties in Modelling Nonlinear Problems
  • Nonllinear Finite Element Benchmark


Plasticity (Time-Independent Material Nonlinearity)

  • Introduction
  • Theoretical Background to Plasticity
  • Finite Element Treatment of Plasticity
  • Fundamental Benchmarks for Plasticity
  • Assembly Benchmarks for Plasticity


Creep (Time Dependent Material Nonlinearity)

  • Introduction
  • Theoretical Background to Creep
  • Finite Element Treatment of Plasticity
  • Fundamental Benchmarks for Plasticity
  • Assembly Benchmarks for Plasticity


References


Purchasing Details

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Non-Members Price
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About

A.A. Becker

First Published - January 1998

Softback, 114 Pages