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Constitutive relations of nonsymmetric theory of elasticity theory and the Airy function. (English. Russian original) Zbl 1014.74006
Mosc. Univ. Mech. Bull. 55, No. 3, 5-8 (2000); translation from Vestn. Mosk. Univ., Ser. I 2000, No. 3, 32-35 (2000).
The authors consider a boundary value problem of nonsymmetric linear elasticity. It is assumed that the material response is completely described by nonsymmetric stress tensor which depends linearly on the distortion tensor. The constitutive relations are presented for the isotropic material, and an analogue of Airy function is found for plane deformation.
74B05 Classical linear elasticity
74A20 Theory of constitutive functions in solid mechanics