State-space Approach to 3D Generalized Thermoviscoelasticity Under Green-Nagdhi Theory - NZJM

N. Sarkar

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State-space Approach to 3D Generalized Thermoviscoelasticity Under Green-Nagdhi Theory - NZJM

机译：Green-Nagdhi理论的3D广义热粘弹性状态空间方法-NZJM

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The present paper is concerned at investigating the effects of viscosity on generalized thermoelastic interactions in a three-dimensional homogeneous isotropic semi-infinite medium whose surface is subjected to a thermal shock and is assumed to be traction free. The formulation is applied to the generalized thermoelasticity based on the G-N II and III theories. The normal mode analysis together with state-space approach is used to obtain the exact analytical expressions for the studied field variables. Numerical computations are done for a specific material and obtained numerical results are plotted in the form of two- and three-dimensional figures. Comparisons are performed with and without the effects of viscosity. A comparison is also made between G-N II and G-N III models to show the effects of viscosity.

机译：本文关注于研究粘度对三维均质各向同性半无限介质中广义热弹性相互作用的影响，该介质的表面受到热冲击并被假定为无牵引力。该公式基于G-N II和III理论应用于广义热弹性。正态模式分析与状态空间方法一起用于获得所研究场变量的精确解析表达式。对特定材料进行了数值计算，并以二维和三维图形的形式绘制了获得的数值结果。在有和没有粘度影响的情况下进行比较。还对G-N II和G-N III模型进行了比较，以显示粘度的影响。

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《New Zealand Journal of Mathematics (Online)》 |2016年第2016期|共页
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N. Sarkar;
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State-space Approach to 3D Generalized Thermoviscoelasticity Under Green-Nagdhi Theory - NZJM

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