Showing papers by "Nantu Sarkar published in 2017"

Memory-dependent derivatives for photothermal semiconducting medium in generalized thermoelasticity with two-temperature

Abstract: In this work, a novel generalized model of photothermal theory with two-temperature thermoelasticity theory based on memory-dependent derivative (MDD) theory is performed. A one-dimensional problem for an elastic semiconductor material with isotropic and homogeneous properties has been considered. The problem is solved with a new model (MDD) under the influence of a mechanical force with a photothermal excitation. The Laplace transform technique is used to remove the time-dependent terms in the governing equations. Moreover, the general solutions of some physical fields are obtained. The surface taken into consideration is free of traction and subjected to a time-dependent thermal shock. The numerical Laplace inversion is used to obtain the numerical results of the physical quantities of the problem. Finally, the obtained results are presented and discussed graphically.

Wave propagation in an initially stressed elastic half-space solids under time-fractional order two-temperature magneto-thermoelasticity

Abstract: In this study, the magneto-thermoelastic disturbances in a homogeneous isotropic perfectly conducting thermoelastic semi-infinite medium caused by the hydrostatic initial stress is investigated. The theory of fractional order two-temperature generalized thermoelasticity associated with one relaxation time parameter is used. The normal mode analysis technique together with the method of displacement potentials are used to obtain the exact formulas of the two temperatures, displacement components, and stresses. Arbitrary application is chosen to enable us to get the complete solution. The considered field variables are presented graphically for a hypothetical material and then discussions are made for the obtained numerical results.

Temperature Dependence of the Elastic Modulus in Three-Dimensional Generalized Thermoelasticity with Dual-Phase-Lag Effects

Abstract: A three-dimensional problem for a homogeneous isotropic thermoelastic half-space solids with temperature-dependent mechanical properties subject to a time-dependent heat sources on the boundary of the half-space which is traction free is considered in the context of the generalized thermoelasticity with dual-phase-lag effects. The normal mode analysis and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled field equations. Numerical results for the temperature, thermal stresses and displacement distributions are represented graphically and discussed. A comparison is made with the result obtained in the absence of the temperature dependent elastic modulus. Various problems of generalized thermoelasticity and conventional coupled dynamical thermoelasticity are deduced as special cases of our problem.

Time-fractional heat conduction law in a magneto-thermoelastic solid with hydrostatic initial stress

Abstract: In this paper, the theory of fractional order two-temperature generalized thermoelasticity is used to study the propagation of magneto-thermoelastic disturbances in a homogeneous isotropic perfectly conducting half-space medium due hydrostatic initial stress. Normal mode analysis technique and the method of displacement potentials are used to obtain the analytical solutions of the studied …eld varables. Arbitrary application is chosen to enable us to get the complete solution. The e¤ect of fractional parameter and hydrostatic initial stress on the variations of the studied …eld quantities has been investigated graphically.