Coupled Systems Mechanics

Volume 10, Number 5, 2021, pages 453-467

DOI: 10.12989/csm.2021.10.5.453

Distributed loads in modified couple stress thermoelastic diffusion with non-local and phase-lags

Rajneesh Kumar, Sachin Kaushal and Vikram Dahiya

Abstract

Thermomechanical loading is considered to examine the non-local and phase-lags effects in a modified couple stress thermoelastic (MCT) half space. Governing equations are solved by using Laplace and Fourier transform techniques. Concentrated source in time and distributed sources with space variable are taken to demonstrate the application. Distributed sources are further classified as uniformly distributed source (UDS) and linearly distributed source (LDS) for mechanical, thermal and chemical potential sources. Numerical results are calculated for displacements, stresses, temperature distribution and chemical potential and are disucussed by displaying graphically. Some particular cases are deduced.

Key Words

dual-phase-lag; Laplace and Fourier transforms; LDS; modified couple stress thermoelasticity; non-local; UDS

Address

Rajneesh Kumar: Department of Mathematics, Kurukshetra University, Kurukshetra-136119 Haryana, India Sachin Kaushal and Vikram Dahiya: Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University-144411 Phagwara, India