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首页> 外文期刊>Journal of thermal stresses >Coupled 1-D stress and thermal waves in temperature dependent nonlinear elastic and viscoelastic media
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Coupled 1-D stress and thermal waves in temperature dependent nonlinear elastic and viscoelastic media

机译：耦合1-D应力和温度依赖性非线性弹性和粘弹性介质的热波

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摘要

A general analysis is formulated for the closed loop coupled thermal and displacement viscoelastic 1-D wave problem. The proper inclusion of the highly temperature sensitive viscoelastic material properties renders the problem nonlinear, even though the displacements and material properties are considered to obey linear relations. In the present article. the previous analysis is enlarged and reformulated by (a) the inclusion of nonlinear elastic and viscoelastic constitutive relations as formulated in Hilton, (b) the addition of thermal waves to the displacement waves, and by (c) temperature dependent material density and viscoelastic moduli and compliances. The wave problem studied here is of significant importance in modeling, material characterization, determination of instantaneous moduli, nonlinear analytical solution protocols and the nonlinear interaction of temperature, material properties, and wave motions. Analytical and numerical solution protocols are presented and evaluated.
机译：为闭环耦合热和位移粘弹性1-D波问题配制了一般分析。即使位移和材料特性被认为服从线性关系，适当地包含高温敏感粘弹性材料的特性也使得非线性的问题变得呈非线性。在本文中。通过（a）（a）将非线性弹性和粘弹性组成型与在希尔顿（b）中配制的非线性弹性和粘弹性组成型关系进行了扩大和重新制定了分析，（b）向位移波添加热波，并通过（c）温度依赖性材料密度和粘弹性模量并享受。这里研究的波浪问题在建模，材料表征，瞬时模量，非线性分析解决方案方案和温度，材料特性和波动运动的非线性相互作用方面具有重要意义。提出和评估了分析和数值溶液方案。

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