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Effect of temperature-dependent and internal heat source on a micropolar thermoelastic medium with voids under 3PHL model
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-12-19 , DOI: 10.1002/zamm.202000185
Amnah M. Alharbi 1 , Elsayed M. Abd‐Elaziz 2 , Mohamed I. A. Othman 3
Affiliation  

The goal of the paper is to present the study of the effect of an internal heat source and the dependence of temperature on a micropolar voided medium that is thermoelastic in the theory of the three-phase-lag model of thermoelasticity. The governing equations are formulated and then the exact displacement component expressions, temperature field, microrotation components, the components of stress and volume fraction field change are found with the normal mode technique. The obtained results for thermal variations were validated by comparing to the three-phase-lag model (3PHL) and the Green and Naghdi of type III theory (G-N III). The comparisons are shown graphically to explore the effects of the internal heat source and void parameters as well as temperature dependent. Other subjects of interest received their own deductions from this investigation.

中文翻译:

3PHL模型下温变和内热源对微极空洞热弹性介质的影响

本文的目的是在热弹性的三相滞后模型理论中,研究内部热源的影响和温度对热弹性微极空隙介质的影响。建立了控制方程,然后用常模技术找到了精确的位移分量表达式、温度场、微旋转分量、应力分量和体积分数场变化。通过与三相滞后模型 (3PHL) 和 III 型理论 (GN III) 的 Green 和 Naghdi 进行比较,验证了获得的热变化结果。比较以图形方式显示,以探索内部热源和空隙参数以及温度相关性的影响。
更新日期:2020-12-19
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