✦ LIBER ✦

New integral equation approach for the crack problem in elastic half-plane

✍ Scribed by Y. Z. Chen; Y. K. Cheung

Publisher: Springer Netherlands
Year: 1990
Tongue: English
Weight: 521 KB
Volume: 46
Category: Article
ISSN: 1573-2673
DOI: 10.1007/bf00034168

No coin nor oath required. For personal study only.

✦ Synopsis

This paper presents an elementary solution for the crack problem in elastic half-plane. The elementary solution corresponds to the following conditions: (1) a point dislocation placed at some point of the upper half-plane, (2) a fixed or free boundary for the elastic half-plane, (3) zero stresses at the remote plane. After using the distributed dislocation functions to be unknowns and taking the resultant force functions along the crack borders to be the right hand terms of the integral equation, a new integral equation with the log singular kernel is obtained. Numerical procedure for the solution of the integral equation is proposed and several examples are given.

📜 SIMILAR VOLUMES

New integral equation for plane elastici

New integral equation for plane elasticity crack problems

✍ Y.K. Cheung; Y.Z. Chen 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 426 KB

Various integral equations for a single

Various integral equations for a single crack problem of elastic half-plane

✍ Y.Z. Chen 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 673 KB

kinds of the complex potentials used for the crack problem of the elastic half-plane are suggested. First one is based on the distribution of dislocation along a curve, and second one is based on the distribution of crack opening displacement along a curve. Depending on the use of the complex potent

Solution of multiple-edge crack problem

Solution of multiple-edge crack problem of elastic half-plane by using singular integral equation approach

✍ Chen, Y. Z. ;Hasebe, Norio 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 464 KB

New singular integral equation for curve

New singular integral equation for curve crack problem in plane elasticity

✍ Y. Z. Chen 📂 Article 📅 1991 🏛 Springer Netherlands 🌐 English ⚖ 189 KB

Weaker singular integral equation approa

Weaker singular integral equation approach for an oblique edge crack problem of half-plane

✍ Y. Z. Chen 📂 Article 📅 1995 🏛 Springer Netherlands 🌐 English ⚖ 162 KB

Hypersingular integral equation approach

Hypersingular integral equation approach for plane elasticity crack problem with circular boundary

✍ Chen, Y. Z. 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB 👁 1 views

The hypersingular integral equation approach is suggested to solve the plane elasticity crack problem with circular boundary. The complex variable function method is used in the formulation. In the equation the crack opening displacement function is used as the unknown function, and the traction on