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On necessary and sufficient conditions of strong ellipticity of equilibrium equations for certain classes of anisotropic linearly elastic materials
Author(s) -
Zubov Leonid M.,
Rudev Alexander N.
Publication year - 2016
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201500167
Subject(s) - anisotropy , compressibility , mathematics , elasticity (physics) , mathematical analysis , class (philosophy) , linear elasticity , set (abstract data type) , classical mechanics , physics , pure mathematics , mechanics , quantum mechanics , finite element method , thermodynamics , computer science , artificial intelligence , programming language
Within the framework of linear elasticity of anisotropic solids, the strong ellipticity (SE) condition is discussing. In this paper, the SE‐condition is deriving for 19 classes of 32 known ones of anisotropy. For each class SE‐condition reduces to a finite set of elementary inequalities. As a special case, incompressible materials are also considered.