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This article is cited in 3 scientific papers (total in 3 papers)
Extreme conditions of elastic constants and principal axes of anisotropy
N. I. Ostrosablin Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
Abstract:
This paper describes the derivation of extremality conditions of each elasticity coefficient (Young's modulus, shear modulus, et al.,) for the general case of linear-elastic anisotropic materials. The stationarity conditions are obtained, and they determine the orthogonal coordinate systems being the main anisotropy axes, where the number of independent elasticity constants decreases from 21 to 18 and, in some cases of anisotropy, to 15 or lower. An example of a material with cubic symmetry is given.
Keywords:
linear-elastic materials, anisotropy, elastic constants, extremality conditions, main anisotropy axes, triclinic crystal system, cubic crystal system.
Received: 28.01.2015 Revised: 03.07.2015
Citation:
N. I. Ostrosablin, “Extreme conditions of elastic constants and principal axes of anisotropy”, Prikl. Mekh. Tekh. Fiz., 57:4 (2016), 192–210; J. Appl. Mech. Tech. Phys., 57:4 (2016), 740–756
Linking options:
https://www.mathnet.ru/eng/pmtf827 https://www.mathnet.ru/eng/pmtf/v57/i4/p192
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