General Solution and Fundamental Solution for Two-Dimensional Problem in Orthotropic Thermoelastic Media with Voids
The aim of the present paper is to study the Fundamental solutionin orthotropic thermoelastic media with voids. With this objective, firstly the two-dimensional general solution in orthotropic thermoelastic media with voids is derived. On the basis of general solution, the Fundamental
solution for a steady point heat source on the surface of a semi-infinite orthotropic thermoelastic material with voids is constructed by six newly introduced harmonic functions. The components of displacement, stress, temperature distribution and voids are expressed in terms of elementary
functions. From the present investigation, a special case of interest is also deduced and compared with the previous results obtained. Since all the components are expressed in terms of elementary functions, it is convenient to use them.
Keywords: FUNDAMENTAL SOLUTION; ORTHOTROPIC; SEMI-INFINITE; THERMOELASTIC; VOIDS
Document Type: Research Article
Publication date: 01 June 2014
- Journal of Advanced Mathematics and Applications (JAMA) publishes peer-reviewed research papers in mathematics in general, covering pure mathematics and applied mathematics as well as the applications of mathematics in chemistry, physics, engineering, biological sciences/health sciences, brain science, computer and information sciences, geosciences, nanoscience, nanotechnology, social sciences, finance and other related fields.
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