A modified spatiotemporal nonlocal thermoelasticity theory with higher-order phase delays for a viscoelastic micropolar medium exposed to short-pulse laser excitation

IF 1.9 4区 工程技术 Q3 MECHANICS
Ahmed E. Abouelregal, Marin Marin, Andreas Öchsner
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引用次数: 0

Abstract

At the microscale and nanoscale, materials exhibit size-dependent behaviors that classical models cannot capture. This analysis introduces a size-dependent higher-order thermoelastic heat conduction model, incorporating spatial and temporal nonlocal effects in a micropolar visco-thermoelastic medium subjected to laser pulse heat flux. The two-phase delay model, featuring higher-order temporal derivatives, captures the complex interactions among mechanical, thermal, and viscous properties in materials where size effects are significant. By including phase lag, the model effectively addresses non-Fourier heat conduction in short-duration laser pulse scenarios. It accurately predicts temperature distribution, stress response, and microrotation effects in microscale and nanoscale materials. The study visually represents how factors such as micropolarity, higher-order effects, phase delay, nonlocal index, and viscosity influence the size-dependent mechanical behavior of the half-space structure. The numerical results highlight the importance of size-dependent phenomena in nanostructures, revealing deviations from classical predictions due to nonlocal interactions. Overall, the proposed spatiotemporal nonlocal homogenization model serves as a valuable tool for analyzing the complex mechanical and thermal characteristics of nanomaterials.

在微尺度和纳米尺度,材料表现出与尺寸相关的行为,而经典模型无法捕捉这些行为。本分析介绍了一种与尺寸有关的高阶热弹性热传导模型,该模型将空间和时间非局部效应纳入了受激光脉冲热通量作用的微波粘弹性介质中。两相延迟模型具有更高阶的时间导数,能捕捉到尺寸效应显著的材料中机械、热和粘性之间复杂的相互作用。通过加入相位滞后,该模型有效地解决了短时激光脉冲情况下的非傅里叶热传导问题。它能准确预测微米级和纳米级材料的温度分布、应力响应和微浮动效应。研究直观地反映了微极性、高阶效应、相位延迟、非局部指数和粘度等因素如何影响半空间结构的尺寸依赖性机械行为。数值结果凸显了纳米结构中尺寸相关现象的重要性,揭示了非局部相互作用导致的经典预测偏差。总之,所提出的时空非局部均质化模型是分析纳米材料复杂机械和热特性的重要工具。
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来源期刊
CiteScore
5.30
自引率
15.40%
发文量
92
审稿时长
>12 weeks
期刊介绍: This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena. Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.
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