Numerical analysis of thermoelastic wave behavior in a micropolar medium with dual-phase-lag, nonlocality, and pre-stress under gravitational influence

Sonia Bajaj; A. K.  Shrivastav

doi:10.5269/bspm.78062

Sonia Bajaj Chandigarh University
A. K. Shrivastav Department of Mathematics, MMEC, Maharishi Markandeshwar (Deemed to be University), Mullana–Ambala, Haryana, India–133207.

Resumo

This study investigates the transient wave propagation in a micropolar thermoelastic half-space under the influence of gravity, initial stress, and nonlocal effects, within the framework of two-temperature generalized thermoelasticity incorporating the dual-phase lag (DPL) model. The governing equations are formulated considering a quiescent medium subjected to an inclined mechanical load and a gravitational field. An analytical solution is derived using normal-mode analysis to obtain exact expressions for the thermomechanical field variables. Numerical simulations are performed for a magnesium crystal-like material to evaluate the distributions of displacement, stress, and temperature. The results are presented graphically to illustrate the influences of initial stress, non-locality, the two-temperature parameter, and the angle of loading inclination. Comparative analyses are also conducted to highlight the role of these factors on wave behavior, with particular cases discussed as subsets of the generalized model.

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