On one model of anisotropic creep of materials
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 1, pp. 114-119

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The concept of proper modules and the states, revealing the structure of generalized Hooke's law, is applied to one model of the anisotropic steady-state creep of materials. The steady-state creep equations of incompressible materials are presented in an invariant form. The matrix of anisotropy coefficients of these materials is reduced to block form with nine independent components. The special case of an ortotropic incompressible material is considered for which the matrix of anisotropy coefficients corresponds to a nonor.
Keywords: steady-state creep, proper anisotropy coefficients and proper states, transversal isotropy, ortotropy, incompressibility.
Mots-clés : anisotropy coefficients
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     author = {N. I. Ostrosablin},
     title = {On one model of anisotropic creep of materials},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {114--119},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_1_a11/}
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N. I. Ostrosablin. On one model of anisotropic creep of materials. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 1, pp. 114-119. http://geodesic.mathdoc.fr/item/SJIM_2014_17_1_a11/