Dynamic behavior of a hollow cylinder under spatial–temporal nonlocality and fractional thermoelasticity incorporating the two-parameter Mittag–Leffler kernel

IF 2.5 3区 工程技术 Q2 MECHANICS
Ahmed E. Abouelregal, Marin Marin, Kareem Alanazi, Salman S. Alsaeed
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引用次数: 0

Abstract

This study introduces a novel thermoelastic model to advance generalized thermoelastic theory by incorporating fractional derivatives and the two-parameter Mittag–Leffler kernel. Grounded in the phase-lag concept, the model uniquely integrates spatial and temporal nonlocal effects, enabling accurate representation of microscopic interactions in elastic structures. By employing the Goufo–Caputo two-parameter fractional operator in the heat conduction equation, it significantly enhances the depiction of memory effects, illustrating how past deformations and thermal conditions influence material behavior. Applied to an infinitely long, isotropic hollow cylinder, the model reveals how spatiotemporal nonlocality and fractional scaling impact thermomechanical properties under thermal variations and structural constraints. Numerical results show that fractional-order parameters minimally affect displacement but have a stronger influence on other physical properties, such as stress and strain. Similarly, nonlocal coefficients exhibit limited effects on temperature but significantly impact other critical physical quantities, offering valuable insights into thermal and structural responses.

含双参数Mittag-Leffler核的时空非定域分数热弹性空心圆柱体的动力行为
本文通过引入分数阶导数和双参数Mittag-Leffler核,提出了一种新的热弹性模型来推进广义热弹性理论。基于相位滞后概念,该模型独特地集成了空间和时间的非局部效应,能够准确地表示弹性结构中的微观相互作用。通过在热传导方程中使用Goufo-Caputo双参数分数算子,它显着增强了记忆效应的描述,说明了过去的变形和热条件如何影响材料的行为。该模型应用于无限长各向同性空心圆柱体,揭示了在热变化和结构约束下,时空非定域性和分数标度如何影响热力学性能。数值结果表明,分数阶参数对位移的影响最小,但对应力和应变等其他物理性质的影响较大。同样,非局部系数对温度的影响有限,但对其他关键物理量的影响却很大,这为热响应和结构响应提供了有价值的见解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
4.40
自引率
10.70%
发文量
234
审稿时长
4-8 weeks
期刊介绍: Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.
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