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Journal of Mining Sciences

2019 year, number 6

Structure of Elasticity Tensors in Transversely Isotropic Material with Paradox Behavior under Hydrostatic Pressure

B. D. Annin1,2, N. I. Ostrosablin1
1Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
2Novosibirsk National Research State University, Novosibirsk, 630090 Russia
Keywords: трансверсальная изотропия, модули упругости, собственные модули и состояния, экстремальные значения модулей Юнга, сдвига, коэффициентов Пуассона, ближайшие тензоры, слоистые горные породы, Transversal isotropy, elasticity moduli, intrinsic moduli and states, extreme Young’s modulus, extreme shear modulus, extreme Poisson’s ratio, nearest tensors, stratified rocks


The authors analyze the structure of the elasticity tensors and compliance coefficients in a special linearly elastic and transversely isotropic material with paradox behavior. The intrinsic moduli and states are found for the elasticity tensors if this material. The extreme values of Young’s modulus, shear modulus and Poisson’s ratio are determined. The characteristics of the nearest tensor of elasticity moduli are obtained.