Deformational anisotropy

In this paper deformational anisotropy is meant to be that anisotropy which develops in a body as a result of its elastic deformation. Considered is the problem of the state of stress in a body subjected, from a “natural” state, to two consecutive elastic deformations. It is shown, that if the first...

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Bibliographic Details
Published in:Journal of applied mathematics and mechanics 1958, Vol.22 (1), p.90-103
Main Author: Berg, B.A
Format: Article
Language:English
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Summary:In this paper deformational anisotropy is meant to be that anisotropy which develops in a body as a result of its elastic deformation. Considered is the problem of the state of stress in a body subjected, from a “natural” state, to two consecutive elastic deformations. It is shown, that if the first deformation is homogeneous and different from a hydrostatic tension or compression, then with the application of a second deformation the body deforms in general as an orthotropic one; the principal directions of elasticity coincide with the principal axes of the homogeneous deformation, and the elastic constants of this body can be expressed in terms of the elastic constants of the original isotropic body and its principal elongations in first deformation. Thus, in solving this problem, the possibility is opened to use the theory of elasticity of anisotropic bodies. As applications, torsion of an elongated bar and bending of an extended and sheared plate are considered.
ISSN:0021-8928
0021-8928
DOI:10.1016/0021-8928(58)90085-6