Uniqueness theorems in the theory of thermoelasticity for solids with double porosity

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• 作者：Merab Svanadze (1)
  
• 关键词：Thermoelasticity ; Uniqueness theorems ; Steady vibrations ; Solids with double porosity
• 刊名：Meccanica
• 出版年：2014
• 出版时间：September 2014
• 年：2014
• 卷：49
• 期：9
• 页码：2099-2108
• 全文大小：332 KB
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• 作者单位：Merab Svanadze (1)
  
  1. Ilia State University, K. Cholokashvili Ave., 3/5, 0162, Tbilisi, Georgia
  
• ISSN：1572-9648

文摘

In this paper the coupled linear theory of thermoelasticity for solids with double porosity is considered. The governing system of field equations of this theory is based on motion equations, conservation of fluid mass, constitutive equations, extended Darcy’s law for materials with double porosity and Fourier’s law for heat conduction. A wide class of the basic internal and external boundary value problems (BVPs) of steady vibrations is formulated and uniqueness theorems for regular (classical) solutions of these BVPs are proved.