A normal crack in an elastic half-space with stress-free surface

✍ Scribed by P. A. Martin; L. Päivärinta; S. Rempel

• Publisher: John Wiley and Sons
• Year: 1993
• Tongue: English
• Weight: 709 KB
• Volume: 16
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1670160805

✦ Synopsis

Abstract

The problem of an elastic half‐space with stress‐free surface and a crack of arbitrary shape with prescribed displacements or tractions is reduced to an equivalent system of integral equations on the crack. For a pressurized crack in a plane perpendicular to the free surface, a scalar integral equation is derived. In properly chosen function spaces, unique solvability of the integral equation and regularity of solutions for regular data are proven.