An alternating technique for evaluating weight functions for 3‐D surface flaws in finite solid bodies

C. Y. Liao, S. N. Atluri

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

An efficient method, based on the Schwarz–Neumann alternating technique, is presented for computing weight functions of a general solid (3‐D as well as 2‐D), with embedded or surface‐flaw configurations. The total rate of change of the crack‐opening displacements, due to simple perturbations of crack‐dimension characteristics, is conveniently decomposed into the infinite‐domain and boundary‐correction parts. The former is determined from available analytical solutions of ideal‐shaped cracks, whereas the latter is computed numerically by imposing nil boundary‐traction requirements for the displacement field corresponding to the weight functions. Numerical examples, with solutions for 3‐D weighted‐average and local stress intensity factors, indicate that the proposed method is very accurate and efficient.

Original languageEnglish
Pages (from-to)1339-1361
Number of pages23
JournalInternational Journal for Numerical Methods in Engineering
Volume32
Issue number6
DOIs
StatePublished - Oct 25 1991

Fingerprint Dive into the research topics of 'An alternating technique for evaluating weight functions for 3‐D surface flaws in finite solid bodies'. Together they form a unique fingerprint.

Cite this