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

✍ Scribed by Y.Z. Chen

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 673 KB
• Volume: 49
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(94)90020-5

✦ Synopsis

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 potentials and the right hand term in the integral equation, two types of the singular integral equation for a single crack problem of elastic half-plane are derived. Regularization of the suggested singular integral equations gives three types of the Fredholm integral equation for the relevant problem. The weaker singular integral equation and the hypersingular integral equation are also introduced. Seven types of the integral equation are finally obtainable. The relation between the kernels of the various integral equations is also discussed.