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The limiting case of zero shear modulus in linear elasticity

✍ Scribed by Ping Wang

Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
381 KB
Volume
38
Category
Article
ISSN
0374-3535

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✦ Synopsis

In this paper we study the behavior of an isotropic homogeneous material with strain-stress relation tr(E) = 2#E + ),(tr E)I when # tends to zero by using a decomposition of a Hilbert space and a minimization problem of an energy functional in some subspace. The existence and uniqueness of the solution of the differential system in this limiting case subject to certain boundary condition is also obtained in this work.

πŸ“œ SIMILAR VOLUMES

Torsion of an elastic solid cylinder wit
Torsion of an elastic solid cylinder with a radial variation in the shear modulus
✍ O. D. George πŸ“‚ Article πŸ“… 1976 πŸ› Springer Netherlands 🌐 English βš– 609 KB

A Green's function approach is used to formulate and obtain the stress field, under torsional loads in a radially finite solid cylinder with radially variable elastic modulus. With this approach a certain dual static-geometric analogy in the solution is readily proved and applied to generate the sol