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Waves in dual-phase-lag thermoelastic materials with voids based on Eringen's nonlocal elasticity

机译:基于艾林根非局部弹性的具有空隙的双相滞后热弹性材料中的波

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The main idea of the present work is to extend Eringen's theory of nonlocal elasticity to generalized thermoelasticity with dual-phase-lag and voids. Then we study the propagation of time harmonic plane waves in an infinite nonlocal dual-phase-lag thermoelastic medium with voids. Three sets of coupled dilatational waves and an independent transverse wave may travel with distinct speeds through the medium. All these waves are found to be dispersive in nature. The coupled dilatational waves are damping, while the transverse wave is undamped in a certain range of the angular frequency. Coupled dilatational waves are found to be influenced by the presence of voids, thermal field and elastic nonlocal parameter, while the transverse wave is found to be influenced by the nonlocal parameter, but independent of void and thermal parameters. For a particular model, the effects of angular frequency, elastic nonlocality parameter, and some voids and thermal parameters on the wave speeds and damping coefficients of all the propagating waves have been studied numerically. Some comparisons are made between the results obtained for local and nonlocal cases. All the computed results have been depicted graphically and explained in details.
机译:本工作的主要思想是将艾林根的非局部弹性理论扩展到具有双相滞后和空隙的广义热弹性。然后,我们研究了时间谐波平面波在具有空隙的无限非局部双相滞后热弹性介质中的传播。三组耦合的膨胀波和一个独立的横波可以以不同的速度传播通过介质。发现所有这些波本质上都是分散的。耦合的膨胀波是阻尼的,而横向波在角频率的特定范围内没有衰减。发现耦合的膨胀波受孔隙,热场和弹性非局部参数的影响,而横向波受非局部参数的影响,但与孔隙和热参数无关。对于特定的模型,已经数值研究了角频率,弹性非局部性参数以及一些空隙和热参数对所有传播波的波速和阻尼系数的影响。在本地案例和非本地案例的结果之间进行了一些比较。所有计算结果均已以图形方式描绘并进行了详细说明。

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