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Potential method in the theory of thermoelasticity for materials with triple voids

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Języki publikacji
EN
Abstrakty
EN
In the present paper the linear theory of thermoelasticity for isotropic and homogeneous solids with macro-, meso- and microporosity is considered. In this theory the independent variables are the displacement vector field, the changes of the volume fractions of pore networks and the variation of temperature. The fundamental solution of the system of steady vibrations equations is constructed explicitly by means of elementary functions. The basic internal and external boundary value problems (BVPs) are formulated and the uniqueness theorems of these problems are proved. The basic properties of the surface (single-layer and double-layer) and volume potentials are established and finally, the existence theorems for regular (classical) solutions of the internal and external BVPs of steady vibrations are proved by using the potential method (boundary integral equation method) and the theory of singular integral equations.
Rocznik
Strony
113--136
Opis fizyczny
Bibliogr. 46 poz.
Twórcy
autor
  • Institute for Fundamental and Interdisciplinary Mathematics Research, Ilia State University, K. Cholokashvili Ave., 3/5, 0162 Tbilisi, Georgia
Bibliografia
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Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019.)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b67e841e-e3f4-415f-9601-de779d9e5c0d
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