On basic problems for elastic prismatic shells with microtemperatures. (English) Zbl 1538.74045
Summary: 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.
{© 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim}
{© 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim}
MSC:
| 74F05 | Thermal effects in solid mechanics |
| 74A60 | Micromechanical theories |
| 74K20 | Plates |
| 74K25 | Shells |
| 35Q74 | PDEs in connection with mechanics of deformable solids |
Keywords:
thermoelasticity with microtemperatures; cusped prismatic shells; hierarchical models; existence and uniqueness theorems; explicit solutions; boundary value problemsReferences:
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