An Algorithmic Perspective on the Thermoelasticity of the Micromorphic Materials Using Fractional Order Strain
An Algorithmic Perspective on the Thermoelasticity of the Micromorphic Materials Using Fractional Order Strain
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DOI：
10.1007/978-3-030-61334-1_8
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发表时间：
2021
影响因子：
--
通讯作者：
Lavinia Codarcea-Munteanu;M. Marin
中科院分区：
文献类型：
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作者：
Lavinia Codarcea-Munteanu;M. Marin
这一章是处理的方法，以微观材料的线性热弹性，其目的是提出一个算法的角度来看，一方面，本构方程的线性理论和非傅立叶热方程的形式，另一方面，在获得一个相互关系，通过使用Caputo分数阶导数。这种算法的观点允许创建一个技术方案，可以遵循在确定这些基本关系的线性热弹性的微形态材料，提供了一个模型，可以用来确定这些方程为其他材料，因此理论可以扩展到各种材料。数学模型的算法变换总是导致数学解的放松和系统化，数学推理以具体步骤的形式呈现，以便获得问题的解决方案。
The chapter is dealing with the approach to the micromorphic materials linear thermoelasticity, its purpose being to present an algorithmic perspective in obtaining, on the one hand, the constitutive equations of this linear theory and the non-Fourier heat equation form, and on the other hand, in obtaining a reciprocal relation, by using the Caputo fractional derivative. This algorithmic perspective allows the creation of a technical scheme that can be followed in determining these basic relations of the linear thermoelasticity of the micromorphic materials, providing a model that can be used to determine these equations for other materials, thus the theory can be extended to various materials. The algorithmic transposition of a mathematical model always leads to a relaxation of the mathematical solution and to its systematization, the mathematical reasoning being presented in the form of concrete steps to be followed in order to obtain the solution of a problem.