A GENERALIZED DYNAMICAL THEORY OF THERMOELASTICITY
A GENERALIZED DYNAMICAL THEORY OF THERMOELASTICITY
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DOI：
10.1016/0022-5096(67)90024-5
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发表时间：
1967-01-01
影响因子：
5.3
通讯作者：
SHULMAN, Y
中科院分区：
文献类型：
--
作者：
LORD, HW;SHULMAN, Y
本文利用包含热流加速所需时间的热输运方程，建立了广义的热弹性动力学理论。该理论考虑了温度和应变率之间的耦合效应，但得到的耦合方程都是双曲的。因此，消除了现有热弹性耦合理论中固有的无限传播速度的悖论。利用广义理论得到了一个解，与用传统耦合理论得到的已知解相比，具有更好的效果。
In thiswork a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of the heat flow. The theory takes into account the coupling effect between temperature and strain rate, but the resulting coupled equations are both hyperbolic. Thus, the paradox of an infinite velocity of propagation, inherent in the existing coupled theory of thermoelasticity, is eliminated. A solution is obtained using the generalized theory which compares favourably with a known solution obtained using the conventional coupled theory.