Thermal Disturbances in Twinned Orthotropic Thermoelastic Material

• Main Authors: Rani L., Singh V.
• Format: Article
• Language: English
• Published: Sciendo 2018-11-01
• Series: International Journal of Applied Mechanics and Engineering
• Subjects: generalized thermoelasticity; orthotropic material; relaxation time; fourier transforms; instantaneous loading
• Online Access: https://doi.org/10.2478/ijame-2018-0050

This paper deals with deformation in homogeneous, thermally conducting, single-crystal orthotropic twins, bounded symmetrically along a plane containing only one common crystallographic axis. The Fourier transforms technique is applied to basic equations to form a vector matrix differential equation, which is then solved by the eigen value approach. The solution obtained is applied to specific problems of an orthotropic twin crystal subjected to triangular loading. The components of displacement, stresses and temperature distribution so obtained in the physical domain are computed numerically. A numerical inversion technique has been used to obtain the components in the physical domain. Particular cases as quasi-static thermo-elastic and static thermoelastic as well as special cases are also discussed in the context of the problem.