On Transient Thermal Stresses in Viscoelastic Materials With Temperature-Dependent Properties
On Transient Thermal Stresses in Viscoelastic Materials With Temperature-Dependent Properties
复制标题
关于具有温度相关特性的粘弹性材料中的瞬态热应力
DOI：
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发表时间：
1961
期刊：
影响因子：
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通讯作者：
E. Sternberg
中科院分区：
文献类型：
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作者：
R. Muki;E. Sternberg
摘要：本文讨论了具有温度相关物理特性的均质各向同性粘弹性固体线性理论中瞬态热应力的准静态分析。基本的本构律依赖于温度-时间等效假设，根据该假设，均匀的温度变化通过对数时间尺度的相应均匀移位来影响材料的粘弹性响应。如果温度随时间变化，则上述假设意味着瞬时应力依赖于整个温度历史。以下的理论背景的阐述，推导出两个具体问题的精确解。第一个问题涉及无限大平板中的瞬态热应力，它是由任意依赖的温度场产生的。（作者-PL）。
Abstract : This paper deals with the quasi-static analysis of transient thermal stresses in the linear theory of homogeneous and isotropic viscoelastic solids with temperature-dependent physical characteristics. The underlying constitutive law rests on the temperature-time equivalence hypothesis according to which a uniform temperature change affects the viscoelastic response of the material through a corresponding uniform shift of the logarithmic time scale. If the temperature varies with time, the preceding hypothesis implies a dependence of the instantaneous stresses upon the entire temperature history. Following an exposition of the theoretical background, exact solutions are deduced to two specific problems. The first concerns the transient thermal stresses in a slab of infinite extent, generated by a temperature field that depends arbitrarily. (Author-PL).