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The Mathematical Modelling for Studying the Influence of the Initial Stresses and Relaxation Times on Reflection and Refraction Waves in Piezothermoelastic Half-Space
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作者 Fatimah A. Alshaikh 《Applied Mathematics》 2012年第8期819-832,共14页
The present paper concentrates on the study of reflection and refraction phenomena of waves in pyroelectric and piezo-electric media under initial stresses and two relaxation times influence by apply suitable conditio... The present paper concentrates on the study of reflection and refraction phenomena of waves in pyroelectric and piezo-electric media under initial stresses and two relaxation times influence by apply suitable conditions. The generalized theories of linear piezo-thermoelasticity have been employed to investigate the problem. In two-dimensional model of transversely isotropic piezothermoelastic medium, there are four types of plane waves quasi-longitudinal (qP), quasi-transverse (qSV), thermal wave (T-mode), and potential electric waves (φ-mode) The amplitude ratios of reflection and refraction waves have been obtained. Finally, the results in each case are presented graphically. 展开更多
关键词 piezo-thermoelasticity Quasi Plane Longitudinal WAVES Reflection and REFRACTION COEFFICIENTS Initial Stresses Green And Lindsay Theory Relaxation Time
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分数阶热弹理论下重力对压电介质中波传播的影响
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作者 马永斌 张建敏 《兰州理工大学学报》 CAS 北大核心 2022年第2期163-172,共10页
基于分数阶热弹理论,研究了半空间无限大压电介质受周期载荷作用时重力对波传播影响.给出分数阶广义热弹性理论下的控制方程,运用正则模态法对控制方程进行求解,得到了半空间无限大压电介质中的无量纲温度、位移、应力和电位移等物理量... 基于分数阶热弹理论,研究了半空间无限大压电介质受周期载荷作用时重力对波传播影响.给出分数阶广义热弹性理论下的控制方程,运用正则模态法对控制方程进行求解,得到了半空间无限大压电介质中的无量纲温度、位移、应力和电位移等物理量的分布规律.重点研究了分数阶参数及重力对各物理量的影响效应.结果表明:半空间无限大压电介质中由于周期载荷作用而出现了热弹耦合效应,分数阶参数及重力显著地影响各物理量的分布规律. 展开更多
关键词 波传播 重力 分数阶理论 压电热弹性 正则模态分析
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Reflection and transmission of plane waves from fluid-piezothermoelastic solid interface
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作者 A.K.VASHISHTH H.SUKHIJA 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2015年第1期11-36,共26页
The reflection and transmission of plane waves from a fluid-piezothermoelastic solid interface are studied. The expressions for amplitude ratios and energy ratios corresponding to reflected waves and transmitted waves... The reflection and transmission of plane waves from a fluid-piezothermoelastic solid interface are studied. The expressions for amplitude ratios and energy ratios corresponding to reflected waves and transmitted waves are derived analytically. The piezothermoelastic solid half-space is assumed to have 6 mm type symmetry and assumed to be loaded with water. The effects of angle of the incidence, the frequency, the specific heat, the relaxation time, and the thermal conductivity on the reflected and transmitted energy ratios are studied numerically for a particular model of cadmium selenide (CdSe) and water. Some special cases are also studied. 展开更多
关键词 REFLECTION TRANSMISSION piezo-thermoelastic relaxation time thermal conductivity
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