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A domain of influence theorem for generalized thermoelasticity with memory-dependent derivative

机译:具有记忆依赖导数的广义热弹性影响定理的一个域

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摘要

The present article theoretically deals with the domain of influence theorem for generalized thermoelasticity with memory-dependent derivative (MDD). A mixed initial-boundary value problem is considered in an isotropic medium in the context of three-phase-lag model (TPL). The theorem is proved with the help of a domain of dependence inequality. This theorem certifies that the pair of displacement and temperature associated with the thermoelastic problem generates no thermal signals outside a suitably defined bounded domain for a finite time t > 0 and the set is the required domain of influence of the associated thermoelastic problem.
机译:本文从理论上处理了具有记忆依赖导数(MDD)的广义热弹性影响定理的领域。在三相滞后模型(TPL)的背景下,在各向同性介质中考虑了混合初始边界值问题。该定理在依赖不等式的域的帮助下得到证明。该定理证明,与热弹性问题相关的位移和温度对在有限的时间t> 0内没有在适当定义的有界域之外生成热信号,并且该集合是相关热弹性问题影响的必需域。

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