2D Test Cases in Linear Elastic Fracture Mechanics

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NAFEMS

First Published - January 1992
Softback, 106 Pages

This report describes finite element work on the development of 2-D test cases for linear elastic fracture mechanics (LEFM) benchmarks. The emphasis is on the mathematical and numerical correctness of solutions rather than the comparison of various element formulations. Therefore the test cases employ representative element types available in most finite element systems. The work includes well corroborated target solutions for all test cases and comparisons are made in relative terms to the referenced solutions.

Contents

Introduction

Parameter Evaluation Methods

Virtual Crack Extension Method
Displacement Substitution Method
Stress Substitution Method
Modified Crack Closure Work Method
Closed-form Displacement Method
Line Contour, J-Integral Method

Test Cases

Centre Cracked Plate in Tension
Centre Cracked Plate with Quadratic Temperature Distribution
Single Edge Cracked Plate in Tension
Angle Crack Embedded in a Plate
Cracks at a Hole in a Plate
Axi-symmetric Crack in a Bar
Compact Tension Specimen
Weld Attachment. T-Joint: Uniform Tension in Main Plate
Weld Attachment. T-Joint: Uniform Tension in Attachment Plate
V-notch Specimen in Tension

Summary

Conclusions