Abstract

The present paper investigates the employment of coarse meshes in evaluating the T-stress with the displacement method. Several finite element analyses have been carried out with different mesh refinements and accuracies. Mode I and mixed mode I/II loadings have been considered in finite element analyses. Under mode I loading, single and double edge notched geometries have been considered, while plate with central crack has been considerd for mixed mode loading condition. The analyses are compared with the results by the well-nown stress based approach, and showed that the displacement method permits the evaluation of the T-stress with the employment of coarse meshes. By the way, several precautions must be taken when dealing with coarse and very coarse meshes.

Highlights

  • Failure of cracked components is governed by the stresses in the vicinity of the crack tip

  • The present paper investigates the emplyoment of coarse meshes in evaluating the T-stress with the displacement method

  • 4 Evaluation of T-stress with coarse meshes under mode I loading 4.1 Geometry and loads In order to investigate the effect of the mesh refinement on the T-stress evaluation, and to study the sensitivity to this aspect of the displacement method as introduced in [25], several FE analysis have been carried out

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Summary

Introduction

Failure of cracked components is governed by the stresses in the vicinity of the crack tip. Few methods are available for calculating T-stress in case of mixed mode loading Those methods that do exist are either restricted to simple geometries or need complex numerical analysis. Larsson and Carlsson [14] computed T-stress as the average difference between the σx for a specimen and the corresponding value obtained from the Boundary Layer (BL) approach where σx was obtained from the elastic–plastic finite element method. This analysis was carried out for Mode I only. An introduction on the Tstress concept based on the fundamental equations of Williams [9] is provided; subsequently, the method developed in [25] is briefly described; later analysis of the method by using coarse and fine meshes is carried out and the new outcomes are discussed

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