Integral equations with logarithmic singularities in the kernels of boundary-value problems of plane elasticity theory for regions with a defect

✍ Scribed by A.A. Gusenkova; N.B. Pleshchinskii

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 434 KB
• Volume: 64
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(00)00066-6

✦ Synopsis

Complex potentials with logarithmic singularities in their kernels are constructed for elastic bodies with a defect along a smooth arc. Muskhelishvili's conjugation is used to obtain singular integral equations of the principal boundary-value problems of plane elasticity theory. Examples are considered. Numerical solutions of the integral equations are obtained by the Bubnov-Galerkin method.