Porosity and phase lags response of thick circular plate in modified couple stress thermoelastic medium,ZAMM - Journal of Applied Mathematics and Mechanics

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Porosity and phase lags response of thick circular plate in modified couple stress thermoelastic medium
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-07-16 , DOI: 10.1002/zamm.202100098
Rajneesh Kumar ₁ , Sachin Kaushal ₂ , Vikram Dahiya ₂

Affiliation

The problem of thick circular plate in modified couple stress thermoelastic with voids (MCTV) is examined to study response of porosity, phase lags, one relaxation time and couple stress parameter. Governing equations are formulated for the new model and are solved by using Laplace and Hankel transform techniques. Normal load, thermal source and source over volume fraction field of voids (SVFV) of specific types are taken to solve the problem analytically. Numerical results are calculated for displacements, stresses, temperature change and volume fraction field. The comparisons are established to depict the effects of voids, phase lags, one relaxation time and couple stress parameter in form of graphs. Some particular cases are also deduced.

中文翻译：

修正偶应力热弹性介质中厚圆板的孔隙率和相位滞后响应

研究了改进的带空隙热弹性耦合应力 (MCTV) 中厚圆板的问题，以研究孔隙率、相位滞后、松弛时间和耦合应力参数的响应。为新模型制定了控制方程，并使用拉普拉斯和汉克尔变换技术求解。采用法向载荷、热源和特定类型空隙体积分数场 (SVFV) 上的源来解析解决问题。计算位移、应力、温度变化和体积分数场的数值结果。建立比较以图的形式描述空隙、相位滞后、一个弛豫时间和耦合应力参数的影响。还推导出了一些特殊情况。

更新日期：2021-07-16

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