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首页> 外文期刊>Journal of thermal stresses >A domain of influence result about the time differential three-phase-lag thermoelastic model
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A domain of influence result about the time differential three-phase-lag thermoelastic model

机译：时滞三相滞后热弹性模型的影响域结果

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摘要

This work represents a natural outlet of recent investigation about the well-posed question for the time differential three-phase-lag model of thermoelasticity. We deal with a cylindrical domain filled by an anisotropic and inhomogeneous thermoelastic material and assume that the initial-boundary data as well as the external supply terms that characterize the problem in concern are concentrated in a compact region of the considered volume. Within such a framework, we show the spatial behavior of the solutions in terms of existence of a domain of influence of the assigned data. We will remark that our results are obtained under restrictions involving the constitutive tensors and the delay times that are in complete agreement with the hypotheses that make the time differential three-phase-lag model thermodynamically consistent. The case of a semi-infinite cylindrical domain is also considered.
机译：这项工作代表了有关热弹性时差三相滞后模型的恰当问题的最新研究的自然结果。我们处理由各向异性和非均质热弹性材料填充的圆柱域，并假设表征所关注问题的初始边界数据以及外部供应条件集中在所考虑体积的紧凑区域中。在这样的框架内，我们根据分配数据的影响域的存在来显示解决方案的空间行为。我们将指出，我们的结果是在涉及本构张量和延迟时间的限制下获得的，这些限制与使时差三相滞后模型热力学一致的假设完全一致。还考虑了半无限圆柱域的情况。

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