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首页> 外文期刊>Journal of thermal stresses >Generalized thermoviscoelastic analysis with fractional order strain in a thick viscoelastic plate of infinite extent
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Generalized thermoviscoelastic analysis with fractional order strain in a thick viscoelastic plate of infinite extent

机译：无限范围内厚粘弹性板中具有分数阶应变的广义热粘弹性分析

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摘要

Viscoelastic materials (e.g. rubber, resin, concrete skeleton, etc.) serve as one of the most promising candidate for new multifunctional materials due to their excellent rheological properties, as they are widely used in biology, petroleum industry, chemical and civil engineering, and other areas. The interaction of high-heat-flux loads (e.g. ultrafast pulsed lasers) with viscoelastic materials is a hot topic of numerous theoretical and experimental studies. Nevertheless, classical and extended generalized thermoviscoelasticity models available in literatures cannot characterize the strain relaxation behavior for viscoelastic materials. In this work, the time-based fractional thermoviscoelasticity model is further extended with a new consideration of fractional order strain. The governing equations involving strain and thermal relaxation times as well as fractional order parameters of strain and heat flux are formulated and are also applied to investigate thermal shock problem of a transient heated thick viscoelastic plate of infinite extent. With the aids of Laplace transformation methods, the transient solutions are also obtained. Finally, the effects of fractional order parameters of strain and heat flux on the transient thermoviscoelastic responses are studied and discussed.
机译：粘弹性材料（例如橡胶，树脂，混凝土骨架等）具有优异的流变性能，是新型多功能材料最有希望的候选材料之一，因为它们广泛用于生物学，石油工业，化学和土木工程以及其它地方。高热通量负载（例如超快脉冲激光）与粘弹性材料的相互作用是许多理论和实验研究的热点。然而，文献中可用的经典和扩展的广义热粘弹性模型无法表征粘弹性材料的应变松弛行为。在这项工作中，基于分数阶应变的新考虑进一步扩展了基于时间的分数热粘弹性模型。建立了涉及应变和热弛豫时间的控制方程，以及应变和热通量的分数阶参数，并将其用于研究无限大范围的瞬态加热厚粘弹性板的热冲击问题。借助拉普拉斯变换方法，还可以获得瞬态解。最后，研究并讨论了应变和热通量的分数阶参数对瞬态热粘弹性响应的影响。

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