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ON THE SPATIAL AND TEMPORAL BEHAVIOR IN LINEAR THERMOELASTICITY OF MATERIALS WITH VOIDS

机译:孔隙材料线性热弹性的时空行为

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The present article studies the spatial and temporal behavior of the solutions to the initial boundary value problems assoicated with the linear theory of hermoelastic materials with voids. The spatial behavior is described by spatial estimates of Saint-Venant type (for bounded boils) and Phragmen-Lindel of type (for Unbounded bodies) with time-dependent and time-independent rates. Some appro- Priate time-weighted integral measures are used. The temporal behavior is studied Using the Cesaro means of various parts of the total energy. The relations describing The asymptotic behavior of the Cesaro means are established.
机译:本文研究了与具有空隙的气弹性材料的线性理论相关的初始边值问题的解的时空行为。空间行为由具有时间依赖性和时间依赖性的Saint-Venant类型(有界沸腾)和Phragmen-Lindel类型(无界物体)的空间估计来描述。使用了一些适当的时间加权积分度量。使用总能量的各个部分的Cesaro手段研究时间行为。建立描述Cesaro装置的渐近行为的关系。

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