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Somigliana's method applied to elastic inclusions and dislocations

Publisher
Springer Netherlands
Year
1973
Tongue
English
Weight
330 KB
Volume
3
Category
Article
ISSN
0374-3535

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✦ Synopsis

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 terms of point forces or, alternatively, in terms of dislocations.

RESUME

On obtient, h l'aide de la m6thode de Somigliana en 61asticit6 lin6aite statique, le champ de d~placements associ~ ave c la formation des inclusions. Ce traitment donne une justification mathematique de la m6thode purement heuristique d'Eshelby employant ou des forces ponctuelles, ou des dislocations.

πŸ“œ SIMILAR VOLUMES

Somigliana's method applied to plane pro
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✍ M. Maiti; Bela Das; S. S. Palit πŸ“‚ Article πŸ“… 1976 πŸ› Springer Netherlands 🌐 English βš– 508 KB

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

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## Abstract We present a novel space–time Galerkin method for solutions of second‐order time‐dependent problems. By introducing the displacement–velocity relationship implicitly, the governing set of equations is reformulated into a first‐order single field problem with the unknowns in the velocity