Analysis reveals energy conservation in reflected time-harmonic waves in orthotropic materials, suggesting implications for material design.
The current work explores the reflection behavior of coupled plane waves from the stress‐free boundary of a half‐space made of a fiber‐reinforced orthotropic nonlocal thermoelastic voided composite, employing Lord and Shulman's generalized thermoelastic theory. Four coupled time‐harmonic waves with distinct velocities are found to propagate through the medium, considering well‐suited boundary conditions. The explicit form of the expressions for the amplitude ratios and the energy ratios of the reflected coupled plane waves is derived. Numerically quantitative analysis for a magnesium‐like crystal is performed using MATLAB software, with the results visually interpreted through graphs. Nonlocal parameter, void parameter and material's anisotropy due to different levels of fiber reinforcement significantly affect the amplitude ratios of the reflected waves. It is verified that, during reflection phenomena, there is no dissipation of energy, that is, at every angle of incidence, the total of energy ratios remains conserved and sums to one.
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Dhankhar et al. (2025) studied this question.
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