The use of Benchmark problems as part of the process of program evaluation is well established and NAFEMS have a number of reports giving details of suitable static, dynamic, non-linear and thermal problems. [2-7]. These problems assume isotropic linear and non-linear material properties and the targets are not applicable when composite test problems were undertaken and these were considered to be suitable for further development into Benchmarks.

This report describes three benchmark tests which are designed to evaluate the performance of a finite element system when used to predict the structural behaviour of composite finite element analysis. The three tests are:

• TEST 1 – Laminated strip under three-point bending;
• TEST 2 – Wrapped thick cylinder under pressure and thermal loading;
• TEST 3 – Three-layer sandwich shell under normal pressure loading.

A brief description of each test, including details of the target solutions, is given in Section 2. Where necessary, reference is made to the Appendices for any relevant theory.

The Benchmark tests themselves are presented, in the standard NAFEMS form, in Section 3.

Contents

INTRODUCTION

OVERVIEW OF BENCHMARK PROBLEMS

Purpose

TEST 1 – Laminated Strip Under Three-Point Bending

TEST 2 – Wrapped Thick Cylinder under Pressure and Thermal Loading

TEST 3 – Three Layer Sandwich Shell under Normal Pressure Loading

BENCHMARK PROBLEMS.

Test No: /1

Test No: /2

Test No: /3

REFERENCES

ACKNOWLEDGEMENTS

APPENDIX A: Equations for a Compound Beam

APPENDIX B: Equations for a Compound Cylinder (Orthotropic.Isotropic)