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Selected Benchmarks for Material Non-Linearity
- Volume 2

This document provides details of 10 benchmark tests for finite element assemblies modelling non-linear material behaviour with small deformations. Its aim is to provide a compendium of simple, authoritatively documented tests covering the more common types of material non-linear phenomena encountered in industrial practise. Emphasis is on quasi-static small-displacement small-strain continuum behaviour of ductile metals.

Collectively the tests may be used for a number purposes including:

  • To check the ability of a finite element program to produce acceptable solutions to problems involving material non-linearity.
  • To exercise a program’s ability to model physical behaviour.
  • To educate inexperienced users about the potential pitfalls and difficulties that may arise when modelling non-linear phenomena.

The overall philosophy has been to select problems with a clear industrial relevance, which can be modelled satisfactorily with the capabilities of robust general purpose commercial codes ad which, moreover, are both physically simple and computationally undemanding. The problems have been drawn from an earlier survey [Ref. 1.2], but in most instances have been “tuned” to make them more discriminating or to improve their clarity and ease of interpretation.

Full details of each test are provided in the Appendices. A companion volume to this report [Ref. 1.1] gives a summary of each test in a standard form.

Contents

ACKNOWLEDGEMENTS

SUMMARY

TABLE OF CONTENTS

INTRODUCTION

SCOPE OF TESTS

Criteria for Benchmarks
Overview of Tests
Reporting Format

REFERENCES

APPENDICES

NL1. TORSIONAL CREEP OF CIRCULAR SHAFT

NL2. CYCLIC THERMAL LODING OF TWO-BAR ASSEMBLY

NL3. THERMAL RATCHETING OF TWO-BAR ASSEMLY

NL4. THERMAL RATCHETING OF UNIFORM BEAM

NL5. PLANE STRAIN RIGID PUNCH

NL6. TORSIONAL CREEP OF SQUARE SHAFT

NL7. SQUARE PLATE UNDER UNIFORMLY DISTRIBUTED LOAD

NL8. NON-PROPORTIONAL LOADING OF THICK CYLINDER

NL9. THERMAL RAT CHETING OF ECCENTRIC TUBE

NL10. THERMALLY INDUCED CREEP OF INTERNALLY PRESSURISED SPHERE.


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About

D. Linkens

First Published - January 1993

Softback, 204 Pages