Nonlocal response of multi-field coupling elastic medium based on fractional order strain,ZAMM - Journal of Applied Mathematics and Mechanics

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Nonlocal response of multi-field coupling elastic medium based on fractional order strain
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-05-20 , DOI: 10.1002/zamm.201900284
Yongbin Ma ₁ , Le Wang ₁ , Fei Huang ₁

Affiliation

In this work, a three-dimensional model of the generalized thermoelasticity with fractional order stain and nonlocal effect is established. Nonlocal effect is used to depict size-dependence feature and fractional order strain is considered to describe memory-dependence properties. The Laplace and double Fourier transform techniques are applied to the three-dimensional half-space model subjected to thermal shock and traction free surface. A complex inversion formula of the transform with the techniques of the Fourier expansion been applied to obtain the inverses of double Fourier transforms, and Laplace transforms. Numerical results for the temperature, stress, strain and displacement are represented graphically based on various values of the fractional order strain parameter and elastic nonlocal parameter. The fractional order strain and nonlocal parameter has a limited effect on the thermal waves while it has significant effects on the mechanical waves.

中文翻译：

基于分数阶应变的多场耦合弹性介质的非局域响应

在这项工作中，建立了具有分数阶染色和非局部效应的广义热弹性的三维模型。非局部效应用于描述大小相关特征，分数阶应变被认为是描述内存相关属性。拉普拉斯和双傅里叶变换技术应用于受热冲击和牵引自由表面影响的三维半空间模型。应用傅里叶展开技术的变换的复逆公式来获得双傅里叶变换和拉普拉斯变换的逆。温度、应力、应变和位移的数值结果基于分数阶应变参数和弹性非局部参数的各种值以图形方式表示。

更新日期：2021-06-08

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