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 solution in 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 solu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2014-01-01
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| Series: | Theoretical and Applied Mechanics |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5584/2014/1450-55841404247K.pdf |
| Summary: | The aim of the present paper is to study the fundamental solution in
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 semiinfinite orthotropic
thermoelastic material with voids is constructed by six newly introduced
harmonic functions. The temperature and voids distribution and components of
displacement and stress 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. |
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| ISSN: | 1450-5584 2406-0925 |