✦ LIBER ✦

Hypersingular integral equation for a curved crack in half-plane

✍ Scribed by Y. Z. Chen

Publisher: Springer Netherlands
Year: 1992
Tongue: English
Weight: 173 KB
Volume: 57
Category: Article
ISSN: 1573-2673
DOI: 10.1007/bf00035083

No coin nor oath required. For personal study only.

✦ Synopsis

A hypersingular integral equation for a curved crack in half-plane is formulated in this report. One particular advantage of the formulation is that the crack opening displacement can be obtained from the solution of the integral equation.

Using the concept of the finite-part integral proposed by Hadamard [1], a hypersingular integral along a curve L (Fig. 1) can be defined as follows [2]:

fz G (t)dt G (t) -G (to) -(t -to)G'(to) dt

📜 SIMILAR VOLUMES

Hypersingular integral equation for mult

Hypersingular integral equation for multiple curved cracks problem in plane elasticity

✍ N.M.A. Nik Long; Z.K. Eshkuvatov 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 921 KB

The complex variable function method is used to formulate the multiple curved crack problems into hypersingular integral equations. These hypersingular integral equations are solved numerically for the unknown function, which are later used to find the stress intensity factor, SIF, for the problem c

A numerical solution technique of hypers

A numerical solution technique of hypersingular integral equation for curved cracks

✍ Chen, Y. Z. 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 178 KB

## 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 i

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

Numerical solution of a curved crack pro

Numerical solution of a curved crack problem by using hypersingular integral equation approach

✍ Y.Z. Chen 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 649 KB

Ahatraet-The plane elastic problem for a curved crack problem is studied by means of the hypersingular integral equation approach. Based on the solution of a doublet of dislocation, the hypersingular integral equation for the curved crack problem is formulated. The unknown function invalved is the c

Mangler-type principal value integrals i

Mangler-type principal value integrals in hypersingular integral equations for crack problems in plane elasticity

✍ N.I. Ioakimidis 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 460 KB

The Mangler-type principal value integrals play an important role in the formulation and solution of the related hypersingular integral equations for crack problems in plane elasticity. Here we consider the classical, fundamental definition of this class of integrals, the most important of their pr

Numerical solutions of a hypersingular i

Numerical solutions of a hypersingular integral equation for antiplane elastic curved crack problems of circular regions

✍ Y. Z. Chen; X. Y. Lin; Z. X. Wang 📂 Article 📅 2004 🏛 Springer Vienna 🌐 English ⚖ 414 KB