Application of the fractional-order theory of micropolar thermoelasticity in the solid cylinder

被引：2

作者：

Khader, S. E. ^{[1
]}

Marrouf, A. A. ^{[1
]}

Khedr, M. ^{[2
]}

机构：

[1] Egyptian Atom Energy Author, Nucl Res Ctr, Math & Theoret Phys Dept, Cairo, Egypt

[2] Alexandria Univ, Fac Sci, Phys Dept, Alexandria, Egypt

来源：

JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING | 2024年 / 46卷 / 08期

关键词：

Caputo fraction; Laplace transform; Micropolar thermoelasticity; Solid cylinder; GENERALIZED MAGNETO-THERMOELASTICITY; HALF-SPACE; ROTATION; MODEL;

D O I：

10.1007/s40430-024-04941-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A model of a two-dimensional problem in micropolar thermoelasticity for a solid cylinder has been studied, and based on Caputo fraction derivatives. The outer surface is subject to known surrounding temperatures and is traction-free. Analytical solutions in the transform domain are obtained by using new direct methods. The inverse of the double transformation can be determined numerically. Numerical results for displacements, microrotations, stresses, micro-stresses, and temperatures are determined and displayed graphically. Some comparisons have been shown in figures to estimate the effect of the fractional order on all the studied fields. The generalized principle of micropolar thermoelasticity is discussed, and its predictions are contrasted with those of the fractional-order principle.

引用

页数：11

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