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Controllable infinitesimal deformations in homogeneously deformed compressible elastic materials

โœ Scribed by Currie, P.

Publisher
Springer
Year
1971
Tongue
English
Weight
378 KB
Volume
23
Category
Article
ISSN
0003-6994

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โœฆ Synopsis

A controllable static deformation is a deformation that may be maintained in all materials of a given class under the action of surface forces alone. For compressible, homogeneous, isotropic elastic materials the only controllable deformations are homogeneous. However, it is known that there are solutions of the static equations of finite elasticity, linearized about a finite homogeneous deformation, which do not correspond to homogeneous deformations. These approximate solutions are investigated here. Three cases arise, depending on whether none, two, or three of the basic principal stretches are equal.

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