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INTERACTION DUE TO THERMODIFFUSIVE AND MECHANICAL SOURCES IN MICROPOLAR ELASTIC MEDIUM

机译:微孔弹性介质中热变质和机械源的相互作用

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摘要

In this present paper, first the equations of generalized micropolar thermodiffusive medium, based on the theory of Lord and Shulman with one relaxation time are derived and then, deformation in a micropolar thermoelastic diffusive medium has been studied due to various sources. Laplace and Fourier transforms are used to solve the problem. The application of concentrated normal force, thermal point source and chemical potential point source has been considered to show the utility of the solution obtained. The transformed components of stress, temperature distribution and chemical potential are inverted numerically using a numerical inversion technique. The effect of micropolarity and diffusion on these quantities are presented graphically in order to illustrate and compare the analytical results. Some special cases of micropolarity and diffusion are also deduced.
机译:本文首先基于Lord和Shulman的理论,推导了具有一个弛豫时间的广义微极性热扩散介质的方程,然后研究了由于各种原因引起的微极性热弹性扩散介质的变形。拉普拉斯(Laplace)和傅立叶(Fourier)变换用于解决该问题。已考虑使用集中法向力,热点源和化学势点源来显示所得溶液的实用性。使用数值反演技术将应力,温度分布和化学势的转换分量数值反演。图形显示了微极性和扩散对这些量的影响,以说明和比较分析结果。还推导了一些微极性和扩散的特殊情况。

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