Wave analysis and representation of fundamental solution in modified couple stress thermoelastic diffusion with voids, nonlocal and phase lags

Abstract

In the present study, we explore a new mathematical formulation involving modifiedcouple stress thermoelastic diffusion (MCTD) with nonlocal, voids and phase lags. The governingequations are expressed in dimensionless form for the further investigation. The desired equationsare expressed in terms of elementary functions by assuming time harmonic variation of the fieldvariables (displacement, temperature field, chemical potential and volume fraction field). Thefundamental solutions are constructed for the obtained system of equations for steady oscillation,and some basic features of the solutions are established. Also, plane wave vibrations has beenexamined for two dimensional cases. The characteristic equation yields the attributes of waves likephase velocity, attenuation coefficients, specific loss and penetration depth which are computednumerically and presented in form of distinct graphs. Some unique cases are also deduced. Theresults provide the motivation for the researcher to investigate thermally conducted modified couplestress elastic material under nonlocal, porosity and phase lags impacts as a new class of applicablematerials.