The displacement fields due to the formation of inclusions in an infinite elastic medium are derived by exploiting Somigliana's method in linear elastostatics. The present approach provides a mathematical justification for Eshelby's formulation, based on heuristic arguments, of inclusion problems in
Somigliana's method applied to plane problems of elastic half-spaces
โ Scribed by M. Maiti; Bela Das; S. S. Palit
- Publisher
- Springer Netherlands
- Year
- 1976
- Tongue
- English
- Weight
- 508 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0374-3535
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โฆ Synopsis
In this paper Somigliana's method has been utilized to solve the two-dimensional boundary value problems of elastic half-spaces. We have considered traction and displacement problem, shear problem, contact and crack problems and the solutions, thus derived, have been compared with those derived from dislocation considerations.
๐ SIMILAR VOLUMES
The problem considered is an elastic half-space acted on by a harmonic force distributed along a strip. Dual integral equations techniques allow a reduction of the plane problem to Fredholm integral equations of the second kind. The solution is given in the form of a series in a small parameter--the