On the Spatial Behavior of Constrained Motion in Type III Thermoelasticity
On the Spatial Behavior of Constrained Motion in Type III Thermoelasticity
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DOI：
10.1080/01495739.2010.482345
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发表时间：
2010-06
影响因子：
2.8
通讯作者：
R. Quintanilla
中科院分区：
文献类型：
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作者：
R. Quintanilla
绿色和Naghdi提出了三个理论的热弹性标记为第一，第二和第三型，分别。在这里，我们调查的空间行为的解决方案所确定的III型热弹性问题。我们研究的增长/衰减替代的空间变量的线性理论的情况下，在瞬间T的热弹性变形被约束成正比的时刻为零。在解衰减的情况下，利用问题的数据可以得到振幅项的上界。最后，我们指出（通过例子），对于几个家庭的情况下，解决方案可以是周期性的空间变量和Phragmen-Lindelof替代不满足。
Green and Naghdi proposed three theories of thermoelasticity labelled as type I, II and III, respectively. Here we investigate the spatial behavior of solutions of a problem determined by the type III thermoelasticity. We study the growth/decay alternative in the spatial variable for the linear theory in the case that the thermoelastic deformations at the instant T are constrained to be proportional to the ones at the instant zero. In the case that the solutions decay, an upper bound for the amplitude term by means of the data of the problem can be obtained. We sketch how to obtain it. We finish by noting (through examples) that for several families of cases the solutions can be periodic in the spatial variable and the Phragmen–Lindelof alternative is not satisfied.