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Eigen value approach for dual phase lag micropolar porous thermoelastic circular plate with ramp type heating

机译:斜面加热双相滞后微极性多孔热弹性圆板的特征值方法

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Purpose - The purpose of this paper is to investigate a two dimensional problem of micropolar porous thermoelastic circular plate subjected to ramp type heating. Design/methodology/approach - Three phase lag theory of thermoelasticity has been used to formulate the problem. A numerical inversion technique is applied to obtain the result in the physical domain. The numerical values of the resulting quantities are presented graphically to show the effect of porosity and dual phase lag model. Some particular cases are also presented. Findings - The Laplace and Hankel transforms are employed followed by the eigen value approach to obtain the components of displacements, microrotation, volume fraction field, temperature distribution and stresses in the transformed domain. Originality/value - This paper fulfils the need to study the two-dimensional problem of micropolar porous thermoelastic circular plate subjected to ramp type heating.
机译:目的-本文的目的是研究受到斜坡加热的微极性多孔热弹性圆板的二维问题。设计/方法/方法-热弹性的三相滞后理论已被用来解决这个问题。应用数值反演技术来获得物理域中的结果。图形化显示了所得数量的数值,以显示孔隙率和双相滞后模型的影响。还介绍了一些特殊情况。结果-使用拉普拉斯(Laplace)和汉克尔(Hankel)变换,然后采用特征值方法来获得变换域中的位移,微旋转,体积分数场,温度分布和应力的分量。原创性/价值-本文满足研究受斜坡加热的微极性多孔热弹性圆板二维问题的需要。

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