Title:

Fundamental Solution for the Plane Problem in Magnetothermoelastic Diffusion Media

Creator:

Kumar Rajneesh

Contributor:

Chawla Vijay

Tags:

fundamental solution, infinite, magnetothermoelastic diffusion, orthotropic, semi-infinite

Abstract:

The aim of the present paper is to study the fundamental solution in orthotropic magneto- thermoelastic diffusion media. With this objective, firstly the two-dimensional general solution in orthotropic magnetothermoelastic diffusion media is derived. On the basis of thegeneral solution, the fundamental solution for a steady point heat source in an infinite and a semi-infinite orthotropic magnetothermoelastic diffusion material is constructed by four newly introduced harmonic functions. The components of displacement, stress, temperature distribution and mass concentration are expressed in terms of elementary functions. From the present investigation, some special cases of interest are also deduced and compared with the previously obtained results. The resulting quantities are computed numerically for infinite and semi-infinite magnetothermoelastic material and presented graphically to depict the magnetic effect.

Date created:

2012.05.22

Date accepted:

2013.05.17

Date issued:

2013.09.23

Format:

application/pdf