Affine transformations of the equations of the linear theory of elasticity |
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Authors: | N I Ostrosablin |
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Institution: | (1) Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090 |
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Abstract: | This paper deals with the general formulas of affine transformations that preserve invariance of the static equations of the
linear theory of elasticity in the case of arbitrary anisotropic materials. The invariance of the equations with respect to
affine transformations allows one to model a given anisotropic material by another material. All anisotropic materials are
divided into classes of mutually congruent materials. The congruency conditions are obtained for orthotropic and isotropic
materials and for orthotropic and transversely isotropic materials.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 4, pp. 124–134, July–August, 2006. |
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Keywords: | affine transformations anisotropy elastic moduli congruency invariance of equations |
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