带分数导数的双相滞后模型背景下内部热源对非局部热弹性旋转介质的影响

IF 0.6 4区 工程技术 Q4 MECHANICS Mechanics of Solids Pub Date : 2024-09-01 DOI:10.1134/S002565442360277X
Samia M. Said, Elsayed M. Abd-Elaziz, Mohamed I. A. Othman
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引用次数: 0

摘要

摘要 基于分数导数传热的双相滞后模型,提出了一种新的旋转非局部热弹性介质模型。利用合适的非维变量,通过傅里叶级数和拉普拉斯变换求解问题,从而得到物理场的精确表达式。得到了非维度温度、位移和应力的分布,并用图解说明。详细讨论了旋转、非局部参数、内部热源和分数阶参数对所考虑变量的影响,结果表明它们对所考虑变量的变化有显著影响。
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Effect of Internal Heat Source on a Nonlocal Thermoelastic Rotating Medium in the Context of a Dual-Phase-Lag Model with Fractional Derivative

A new model of a rotating nonlocal thermoelastic medium is formulated based on the dual-phase-lag model with fractional derivative heat transfer. Using suitable non-dimensional variables, the problem is solved using Fourier series and Laplace transforms to obtain the exact expressions of physical fields. The distributions of the nondimensional temperature, displacements, and stresses are obtained and illustrated graphically. The effects of the rotation, the nonlocal parameter, the internal heat source, and the fractional- order parameter, on the considered variables are concerned and discussed in detail, and the results show that they significantly influence the variations of the considered variables.

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来源期刊
Mechanics of Solids
Mechanics of Solids 医学-力学
CiteScore
1.20
自引率
42.90%
发文量
112
审稿时长
6-12 weeks
期刊介绍: Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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