THERMOELASTICITY WITHOUT ENERGY-DISSIPATION
THERMOELASTICITY WITHOUT ENERGY-DISSIPATION
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DOI：
10.1007/bf00044969
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发表时间：
1993-06-01
影响因子：
2
通讯作者：
NAGHDI, PM
中科院分区：
文献类型：
--
作者：
GREEN, AE;NAGHDI, PM
本文论述了无能量耗散的热弹性材料行为;它涉及非线性和线性理论，尽管重点放在后者上。特别地，所讨论的线性化热弹性理论具有以下性质：（a）热流与经典热弹性理论中的Fourier定律相反，不涉及能量耗散：（B）熵流矢量的本构方程由同样的势函数确定，该势函数也决定应力;以及（c）它允许热以有限速度作为热波传输。并证明了一个适用于无能量耗散线性热弹性力学的唯一性定理。
This paper deals with thermoelastic material behavior without energy dissipation; it deals with both nonlinear and linear theories, although emphasis is placed on the latter. In particular, the linearized theory of thermoelasticity discussed possesses the following properties: (a) the heat flow, in contrast to that in classical thermoelasticity characterized by the Fourier law, does not involve energy dissipation; (b) a constitutive equation for an entropy flux vector is determined by the same potential function which also determines the stress; and (c) it permits the transmission of heat as thermal waves at finite speed. Also, a general uniqueness theorem is proved which is appropriate for linear thermoelasticity without energy dissipation.