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首页> 外文期刊>International Journal of Engineering Science >Circular crested waves in anisotropic thermoelastic plates bordered with inviscid liquid
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Circular crested waves in anisotropic thermoelastic plates bordered with inviscid liquid

机译：带有粘性液体的各向异性热弹性板中的圆波峰

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摘要

The propagation of circularly crested waves in a homogeneous, transversely isotropic, thermally conducting plate bordered with layers of inviscid liquid or half space of inviscid liquid on both sides is investigated in the context of conventional coupled thermoelasticity, Lord-Shulman and Green-Lindsay theories of thermoelasticity. Secular equations for circular homogeneous transversely isotropic plate in closed form and isolated mathematical conditions for symmetric and antisymmetric wave modes in completely separate terms are derived. The results for isotropic materials and uncoupled theories of thermoelasticity have been obtained as particular cases. The special cases such as short wavelength waves, thin plate waves and leaky Lamb waves of the secular equation are also deduced and discussed. The amplitudes of displacement components and temperature change have also been computed and studied. Finally, the numerical solution is carried out for transversely isotropic circular plate of cobalt material bordered with water. The dispersion curves for symmetric and antisymmetric wave modes, attenuation coefficient and amplitudes of displacement and temperature change in case of fundamental symmetric (S_0) and skew symmetric (A_0) modes are presented in order to illustrate and compare the theoretical results. The analytical and numerical results are found to be in close agreement.
机译：在常规耦合热弹性，Lord-Shulman和Green-Lindsay理论的背景下，研究了圆顶波在均匀，横向各向同性的导热板中的传播，该板在两侧均具有不粘液体层或不粘液体层的一半空间。热弹性。推导了封闭形式的圆形均质横向各向同性板的长期方程，以及完全分开的对称和反对称波模的孤立数学条件。在特定情况下，已经获得了各向同性材料和热弹性非耦合理论的结果。推导并讨论了世俗方程的特殊情况，如短波，薄板波和泄漏兰姆波。位移分量的幅度和温度变化也已被计算和研究。最后，对水为边界的钴材料的横向各向同性圆板进行了数值求解。给出了对称和反对称波模的色散曲线，基本对称（S_0）和偏斜对称（A_0）模式下的衰减系数以及位移和温度变化的幅度，以说明和比较理论结果。分析和数值结果非常一致。

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