Purpose

The purpose of this paper is to study two-dimensional deformations in a nonlocal, homogeneous, isotropic, rotating thermoelastic medium with temperature-dependent properties under the purview of the Green-Naghdi model II of generalized thermoelasticity. The formulation is subjected to a mechanical load.

Design/methodology/approach

The normal mode analysis technique is adopted to procure the exact solution of the problem.

Findings

For isothermal and insulated boundaries, discussions have been made to highlight the influences of rotational speed, nonlocality, temperature-dependent properties and time on the physical quantities.

Originality/value

The exact expressions for the displacement components, stresses and temperature field are obtained in the physical domain. These are also calculated numerically for a magnesium crystal-like material and depicted through graphs to observe the variations of the considered physical quantities. The present study is useful and valuable for the analysis of problems involving mechanical shock, rotational speed, nonlocal parameter, temperature-dependent properties and elastic deformation.

中文翻译：

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具有温度相关特性的非局部旋转弹性材料中的热机械扰动

目的

本文的目的是在广义热弹性的 Green-Naghdi 模型 II 的范围内研究具有温度相关特性的非局部、均匀、各向同性、旋转热弹性介质中的二维变形。制剂承受机械载荷。

设计/方法/方法

采用正态模式分析技术得到问题的精确解。

发现

对于等温和绝缘边界，已经进行了讨论以强调旋转速度、非定域性、温度相关特性和时间对物理量的影响。

原创性/价值

在物理域中获得位移分量、应力和温度场的精确表达式。这些也是针对镁晶体状材料进行数值计算的，并通过图表进行描述，以观察所考虑物理量的变化。本研究对于分析涉及机械冲击、转速、非局部参数、温度相关特性和弹性变形的问题是有用和有价值的。