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.
TABLE OF CONTENTS
SCOPE OF TESTS
Criteria for Benchmarks
Overview of Tests
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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First Published - January 1993
Softback, 204 Pages