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On the steady vibrations of elastic materials with voids

✍ Scribed by Anna Pompei; Antonio Scalia

Publisher
Springer Netherlands
Year
1994
Tongue
English
Weight
731 KB
Volume
36
Category
Article
ISSN
0374-3535

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✦ Synopsis

This paper is concerned with the linear elastodynamics of homogeneous and isotropic materials with voids. First, the singular solutions corresponding to concentrated forces in the case of steady vibrations are established. Then, representations of Somigliana type for the displacement field and the change in the volume fraction field are presented. Radiation conditions of Sommerfeld type are derived. The potentials of single layer and double layer are used to reduce the boundary value problems to singular integral equations for which Fredholm's basic theorems are valid. Existence and uniqueness results for exterior problems are established.

πŸ“œ SIMILAR VOLUMES

A uniqueness theorem in the theory of el
A uniqueness theorem in the theory of elastic materials with voids
✍ D. S. Chandrasekharaiah πŸ“‚ Article πŸ“… 1987 πŸ› Springer Netherlands 🌐 English βš– 230 KB

In the context of the linear theory of homogeneous and isotropic elastic materials with voids, an initial-boundary-value problem in terms of stress and volume fraction fields is formulated and the uniqueness of its solution established.

A note on the problem of pure bending fo
A note on the problem of pure bending for linear elastic materials with voids
✍ S. C. Cowin πŸ“‚ Article πŸ“… 1984 πŸ› Springer Netherlands 🌐 English βš– 333 KB

This note concerns the problem of quasi-static pure bending of a beam in the context of the complete theory of linear elastic materials with voids presented in [1]. It is shown here that the solution in the context of the complete theory of [1] is coincident with the pure bending solution of classic