𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A numerical solution technique of hypersingular integral equation for curved cracks

✍ Scribed by Chen, Y. Z.

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
178 KB
Volume
19
Category
Article
ISSN
1069-8299

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper, a hypersingular integral equation for curved cracks in plane elasticity is formulated and presented. This paper describes a new numerical technique for solution of deep curved cracks in plane elasticity. In this method, the crack curve length is taken as the co‐ordinate in the hypersingular integral equation of the curved crack problems. The curved crack configuration maps on the real axis with interval (‐a,a), where β€˜2__a__’ is the arc length of the crack. The original hypersingular integral equation is converted into other hypersingular integral equation which is formulated on the curve length co‐ordinate, or on (‐a,a). The hypersingular integral equation is solved numerically. Numerical examples prove that higher efficiency has been achieved in the suggested method. Copyright Β© 2003 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

Numerical integration schemes for the BE
Numerical integration schemes for the BEM solution of hypersingular integral equations
✍ A. Aimi; M. Diligenti; G. Monegato πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 226 KB πŸ‘ 3 views

In this paper we consider singular and hypersingular integral equations associated with 2D boundary value problems deΓΏned on domains whose boundaries have piecewise smooth parametric representations. In particular, given any (polynomial) local basis, we show how to compute e ciently all integrals re

A hypersingular boundary integral equati
A hypersingular boundary integral equation for a class of antiplane multiple crack problems for inhomogeneous elastic materials
✍ Ang, W. T. ;Clements, D. L. ;Cooke, T. πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 115 KB πŸ‘ 2 views

An antiplane multiple crack problem is considered for inhomogeneous isotropic elastic materials. The problem is reduced to a boundary integral equation involving hypersingular integrals. The boundary integral equation may be solved numerically using standard procedures. Some crack problems for a par

Numerical solution of the variation boun
Numerical solution of the variation boundary integral equation for inverse problems
✍ Rafael Gallego; Javier SuΓ‘rez πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 145 KB πŸ‘ 2 views

In this paper a procedure to solve the identiΓΏcation inverse problems for two-dimensional potential ΓΏelds is presented. The procedure relies on a boundary integral equation (BIE) for the variations of the potential, ux, and geometry. This equation is a linearization of the regular BIE for small chan