We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Analysis of multiple interfacial cracks in three-dimensional bimaterials using hypersingular integro-differential equation method.
- Authors
Xu, Chun-hui; Qin, Tai-yan; Yuan, Li; Noda, Nao-Aki
- Abstract
By using the concept of finite-part integral, a set of hypersingular integro-differential equations for multiple interfacial cracks in a three-dimensional infinite bimaterial subjected to arbitrary loads is derived. In the numerical analysis, unknown displacement discontinuities are approximated with the products of the fundamental density functions and power series. The fundamental functions are chosen to express a two-dimensional interface crack rigorously. As illustrative examples, the stress intensity factors for two rectangular interface cracks are calculated for various spacing, crack shape and elastic constants. It is shown that the stress intensity factors decrease with the crack spacing.
- Subjects
NUMERICAL solutions to integro-differential equations; NUMERICAL analysis; INTEGRAL equations; STRAINS &; stresses (Mechanics); INTEGRAL calculus
- Publication
Applied Mathematics & Mechanics, 2009, Vol 30, Issue 3, p293
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/s10483-009-0303-z