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Fundamental solution of steady oscillations equations in nonlocal thermoelastic medium with voids

机译:空隙下非识别热弹性介质中稳态振荡方程的基础解

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摘要

A new nonlocal theory of generalized thermoelasticity with voids based on Eringen's nonlocal elasticity is established. The propagation of plane harmonic waves in nonlocal thermoelastic medium with voids is investigated in the context of dual-phase-lag model of generalized thermoelasticity. There exist three longitudinal waves, namely elastic (E-mode), thermal (T-mode) and volume fraction (V-mode) in addition to transverse waves which get decoupled from the rest of motion and not affected by thermal and volume fraction fields. The fundamental solution of the system of differential equations in case of steady oscillations in terms of the elementary functions has been constructed. The effect of nonlocal parameter and the effect of voids on phase velocities, attenuation coefficients and penetration depths are presented graphically.
机译:建立了基于eringen非局部弹性的空隙的新的非局部非局部热弹性理论。广义热弹性双相滞后模型的背景下研究了平面谐波在非局部热弹性介质中的传播。除横波之外,还存在三个纵向波,即弹性(E模式),热(T模式)和体积分数(V-MODE),该横波除了从运动的其余部分和不受热和体积分数的影响。建立了在基本功能方面稳定振荡的微分方程系统的基本解决方案。图形上呈现了非局部参数的影响和空隙对相速度,衰减系数和穿透深度的影响。

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