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On basic problems for elastic prismatic shells with microtemperatures
Author(s) -
Jaiani George,
Bitsadze Lamara
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.201400172
Subject(s) - uniqueness , isotropy , boundary value problem , bounded function , mathematics , constant (computer programming) , mathematical analysis , basis (linear algebra) , boundary (topology) , homogeneous , geometry , physics , computer science , combinatorics , quantum mechanics , programming language
In the present paper on the basis of the linear theory of thermoelasticity of homogeneous isotropic bodies with microtemperatures the zeroth order approximation of hierarchical models of elastic prismatic shells with microtemperatures in the case of constant thickness (but, in general, with bent face surfaces) is considered. The existence and uniqueness of solutions of basic boundary value problems when the projections of the bodies under consideration are bounded and unbounded domains with closed contours are established. The ways of solving boundary value problems in explicit forms and of their numerical solution are indicated.