𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Integral equations for three-dimensional problems

✍ Scribed by A. Van; J. Royer

Publisher
Springer Netherlands
Year
1986
Tongue
English
Weight
930 KB
Volume
31
Category
Article
ISSN
1573-2673

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✦ Synopsis

An integral equations method for a three-dimensional crack in a finite or infinite body is achieved by means of Kupradze potentials. Surface and through cracks can be studied according to this approach with only the assumption that the body has a linear, elastic, homogeneous and isotropic behavior. Both singular surface integrals and line integrals appear in the derived equations. For surface and through cracks, the line integral is taken on a part of the crack boundary. The use of our integral equations to the particular problem of an embedded plane crack leads to those formulated by Bui. Another application is devoted to a through crack in a circular cylinder.

πŸ“œ SIMILAR VOLUMES

Boundary integral equations for a three-
Boundary integral equations for a three-dimensional Brinkman flow problem
✍ Mirela Kohr; Wolfgang L. Wendland πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 306 KB

## Abstract The purpose of this paper is to prove existence and uniqueness in Sobolev or HΓΆlder spaces for a transmission problem which describes the flow of a viscous incompressible fluid past a porous particle embedded in a second porous medium, by using the Brinkman model and potential theory. S