Purpose

The purpose of this study is to analyze the two-dimensional disturbances in a nonlocal, functionally graded, isotropic thermoelastic medium under the purview of the Green–Lindsay model of generalized thermoelasticity. The formulation is subjected to a mechanical load. All the thermomechanical properties of the solid are assumed to vary exponentially with the position.

Design/methodology/approach

Normal mode technique is proposed to obtain the exact expressions for the displacement components, stresses and temperature field.

Findings

Numerical computations have been carried out with the help of MATLAB software and the results are illustrated graphically. These are also calculated numerically for a magnesium crystal-like material and illustrated through graphs. Theoretical and numerical results demonstrate that the nonlocality and nonhomogeneity parameters have significant effects on the considered physical fields.

Originality/value

Influences of nonlocality and nonhomogeneity on the physical quantities are carefully analyzed for isothermal and insulated boundaries. The present work is useful and valuable for analysis of problems involving mechanical shock, nonlocal parameter, functionally graded materials and elastic deformation.

中文翻译：

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Green-Lindsay 模型下非局部功能梯度热弹性固体的瞬态扰动

目的

本研究的目的是在广义热弹性的 Green-Lindsay 模型的范围内分析非局部、功能梯度、各向同性热弹性介质中的二维扰动。制剂承受机械载荷。假定固体的所有热机械特性随位置呈指数变化。

设计/方法/方法

提出了法向模式技术来获得位移分量、应力和温度场的精确表达式。

发现

在MATLAB软件的帮助下进行了数值计算，结果以图形方式说明。这些也是对镁晶体状材料进行数值计算并通过图表说明的。理论和数值结果表明非局域性和非均匀性参数对所考虑的物理场有显着影响。

原创性/价值

对于等温和绝缘边界，仔细分析了非局部性和非均匀性对物理量的影响。目前的工作对于分析涉及机械冲击、非局部参数、功能梯度材料和弹性变形的问题是有用和有价值的。