Hydro-thermo-poro-viscoelastic model with non-singular fractional derivatives and transient heat-shock response of cylindrical unlined tunnel

IF 2.5 3区 工程技术 Q2 MECHANICS
Chenlin Li, Dechen Wang, Liangcheng Zheng
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引用次数: 0

Abstract

To accurately predict dynamic memory-dependent hydro-thermo-mechanical behavior for saturated poro-viscoelastic medium in ultra-fast heating condition (e.g., transient heating technique), this work aims to develop a new hydro-thermo-poro-viscoelastic model, which firstly adopts the Atangana–Baleanu and tempered Caputo non-singular fractional derivatives into deformation evolution law and heat flux equation. The established model is applied to investigate the transient thermal shock response of a cylindrical unlined tunnel by Laplace transformation techniques. Numerical dimensionless results reveal that the fractional parameters in heat conduction significantly lower the thermal wave propagation and reduce the mechanical response, whereas the fractional parameters in deformation maximally decrease the stress and displacement.

Abstract Image

非奇异分数阶导数的水-热-孔-粘弹性模型及无衬砌圆柱隧道瞬态热震响应
为了准确预测饱和孔隙-粘弹性介质在超快加热条件下(如瞬态加热技术)的动态记忆依赖水热力学行为,本工作旨在建立一种新的水热-孔隙-粘弹性模型,该模型首先将Atangana-Baleanu和回火Caputo非奇异分数阶导数引入变形演化规律和热流方程。将所建立的模型应用拉普拉斯变换技术研究了非衬砌圆柱隧道的瞬态热冲击响应。数值无因次计算结果表明,热传导中的分数参数显著降低了热波传播,减小了力学响应,而变形中的分数参数则最大程度地减小了应力和位移。
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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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