Evaluation of stress concentration factors and stress intensity factors from remote boundary data

Chyanbin Hwu, Y. C. Liang

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Usually, the stress concentration factors (SCFs) for holes and the stress intensity factors (SIFs) for cracks are evaluated by using the data near holes or cracks. However, the abrupt change of the stresses near holes, especially near crack tips, may lead to an unavoidable error. Thus, it is always interesting to find an equivalent formulation for SCF and SIF by using only remote boundary responses (displacements, stresses and strains) cooperating with the necessary geometric data. Through a special boundary element formulation of which the fundamental solution was derived using Stroh's formalism for two-dimensional anisotropic elasticity, all the internal stresses and strains can be expressed in terms of the boundary (not including the hole and crack boundaries) displacements and tractions. By proper mathematical manipulation, a closed form solution for SIF of the internal crack and SCF of the internal hole, expressed by using only remote boundary displacements and tractions, is derived in this paper. To show that the proposed formula is accurate and efficient, several numerical examples are presented.

Original languageEnglish
Pages (from-to)5957-5972
Number of pages16
JournalInternational Journal of Solids and Structures
Volume37
Issue number41
DOIs
Publication statusPublished - 2000 Oct 11

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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