General solution and fundamental solution for two-dimensional problem in orthotropic thermoelastic media with voids
Theoretical and applied mechanics, Tome 41 (2014) no. 4, p. 247
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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 semi-infinite 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.
Classification :
74E10 74F05
Keywords: Fundamental solution, orthotropic, thermoelastic, voids, semi–infinite.
Keywords: Fundamental solution, orthotropic, thermoelastic, voids, semi–infinite.
@article{10_2298_TAM1404247K,
author = {Rajneesh Kumar and Vijay Chawla},
title = {General solution and fundamental solution for two-dimensional problem in orthotropic thermoelastic media with voids},
journal = {Theoretical and applied mechanics},
pages = {247 },
year = {2014},
volume = {41},
number = {4},
doi = {10.2298/TAM1404247K},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM1404247K/}
}
TY - JOUR AU - Rajneesh Kumar AU - Vijay Chawla TI - General solution and fundamental solution for two-dimensional problem in orthotropic thermoelastic media with voids JO - Theoretical and applied mechanics PY - 2014 SP - 247 VL - 41 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.2298/TAM1404247K/ DO - 10.2298/TAM1404247K LA - en ID - 10_2298_TAM1404247K ER -
%0 Journal Article %A Rajneesh Kumar %A Vijay Chawla %T General solution and fundamental solution for two-dimensional problem in orthotropic thermoelastic media with voids %J Theoretical and applied mechanics %D 2014 %P 247 %V 41 %N 4 %U http://geodesic.mathdoc.fr/articles/10.2298/TAM1404247K/ %R 10.2298/TAM1404247K %G en %F 10_2298_TAM1404247K
Rajneesh Kumar; Vijay Chawla. General solution and fundamental solution for two-dimensional problem in orthotropic thermoelastic media with voids. Theoretical and applied mechanics, Tome 41 (2014) no. 4, p. 247 . doi: 10.2298/TAM1404247K
Cité par Sources :