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Plane wave reflection/transmission in imperfectly bonded initially stressed rotating piezothermoelastic fiber-reinforced composite half-spaces
European Journal of Mechanics - A/Solids ( IF 4.4 ) Pub Date : 2021-02-24 , DOI: 10.1016/j.euromechsol.2021.104242
Sayantan Guha , Abhishek Kumar Singh

The effects of different types of imperfect interfaces, normal and shear initial stresses and rotation on the reflection and transmission characteristics of plane waves in two dissimilar piezothermoelastic fiber-reinforced composite (PTFRC) half-spaces are analytically studied in this article. The PTFRC structure is modeled employing the Strength of Materials (SM) technique with the Rule of Mixtures (RM) approach. Numerical studies are performed on two distinct PTFRCs comprised of CdSe–epoxy combination and PZT-5A-epoxy combination. Several reasons, like the inevitable presence of interfacial defects because of accumulative damages, have detrimental effects on the life expectancy and efficiency of structures manufactured using smart materials. For the same reasons, the bond between half-spaces is generally not perfect. Thus, the mechanical–electrical-thermally imperfect boundary is classified into seven types, viz. Normal Stiffness Boundary (NSB), Transverse Stiffness Boundary (TSB), Thermal Contact Conductance (TCC), Electrically Imperfect Boundary (EIB), Slip Boundary (SB), Completely Debonded Boundary (CDB) and Welded Contact (WC), which are analyzed individually. Initial stresses and rotation are also considered for making the present model more realistic. The closed-form expressions of amplitude ratios of reflected and transmitted quasi-longitudinal (qP), quasi-transverse (qSV), thermal (T-mode) and electro-acoustic (EA) waves are derived by means of appropriate mechanical–electrical-thermally imperfect boundary conditions. Using these, the energy ratios of all waves along with the interaction energy among various waves are obtained and the Law of Conservation of Energy is validated. Comparative analysis among the Classical dynamical coupled, Lord–Shulman and Green–Lindsay thermoelasticity theories is performed. The influences of the incident angle, imperfect interfaces, rotation, varying magnitudes of normal and shear initial stresses and thermal relaxation parameters on the energy ratios are illustrated graphically. Some special cases exclusive to this study are shown which validate the obtained results with extant literature and possible scientific and engineering applications of the present model are discussed.



中文翻译:

不完全粘合的初始应力旋转压电热弹性纤维增强复合材料半空间中的平面波反射/透射

本文分析了两种不同的不完全界面,法向和剪切初始应力以及旋转对两个不同的压电热弹性纤维增强复合材料(PTFRC)半空间中平面波的反射和透射特性的影响。使用材料强度(SM)技术和混合规则(RM)方法对PTFRC结构进行建模。对由CdSe-环氧树脂组合和PZT-5A-环氧树脂组合组成的两种不同的PTFRC进行了数值研究。几种原因(例如由于累积性损坏而不可避免地存在界面缺陷)会产生有害影响使用智能材料制造的结构的预期寿命和效率。出于相同的原因,半空间之间的结合通常也不完美。因此,机械-电气-热不完全边界被分为七种类型,即。法向刚度边界(NSB),横向刚度边界(TSB),热接触电导(TCC),电缺陷边界(EIB),滑移边界(SB),完全剥离边界(CDB)和焊接接触(WC)个别地。还考虑了初始应力和旋转,以使本模型更加逼真。反射和透射准纵向(qP),准横向(qSV),热(T模式)和电声(EA)波是通过适当的机械-电-热不完善边界条件得出的。利用这些,获得所有波的能量比以及各个波之间的相互作用能,并得出能源节约得到验证。进行了古典动力耦合,Lord-Shulman和Green-Lindsay热弹性理论之间的比较分析。图形化地说明了入射角,不完美的界面,旋转,法向和剪切初始应力的变化幅度以及热弛豫参数对能量比的影响。展示了本研究专有的一些特殊情况,这些情况可以用现有文献验证所获得的结果,并讨论了本模型的可能的科学和工程应用。

更新日期:2021-02-26
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