New Transforms for the Resolving Equations in Elastic Theory and New Integral Transforms, with Applications to Boundary-Value Problems of Mechanics
โ Scribed by G. Ya. Popov
- Book ID
- 111586623
- Publisher
- Springer US
- Year
- 2003
- Tongue
- English
- Weight
- 173 KB
- Volume
- 39
- Category
- Article
- ISSN
- 1573-8582
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A version of boundary integral equations of the first kind in dynamic problems of the theory of elasticity is proposed, based on an investigation of the analytic properties of the Fourier transformant of the displacement vector, rather than on fundamental solutions. A system of three boundary integr
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 conside