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首页> 外文期刊>Journal of thermal stresses >THE RELAXATION EFFECTS OF THE VOLUME PROPERTIES OF VISCOELASTIC MATERIAL IN GENERALIZED THERMOELASTICITY WITH THERMAL RELAXATION
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THE RELAXATION EFFECTS OF THE VOLUME PROPERTIES OF VISCOELASTIC MATERIAL IN GENERALIZED THERMOELASTICITY WITH THERMAL RELAXATION

机译：粘弹性材料体积特性对热松弛广义热弹性的松弛效应

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摘要

The model of the equations of generalized thermoviscoelasticity with one relaxation time, when the relaxation effects of the volume properties of the material are taken into account, is established. The state-space approach developed in Bahar and Hetnarski is adopted for the solution of one-dimensional problems. The formulation is valid for problems with or without heat sources. The resulting formulation together with the Laplace transform technique is applied to a variety of problems. The solutions to a thermal shock problem and to a problem of layer media, both without heat sources, are obtained. Also, the effects of a plane distribution of heat sources on the whole and semispace are studied. A numerical method is employed for the inversion of the Laplace transforms. Numerical results are given and illustrated graphically for each problem. Comparisons are made with the results predicted by the coupled theory or ignoring the viscous effects of the volume. It is found that the consideration of these effects is to decrease the thermal stresses.
机译：当考虑材料体积特性的松弛效应时，建立了具有一个松弛时间的广义热粘弹性方程的模型。一维问题的解决采用了在巴哈尔和海特纳尔斯基开发的状态空间方法。该配方对于有或没有热源的问题均有效。所得公式与拉普拉斯变换技术一起应用于各种问题。获得了均没有热源的热冲击问题和层介质问题的解决方案。此外，研究了热源平面分布对整个空间和半空间的影响。数值方法用于拉普拉斯变换的反演。给出每个问题的数值结果并以图形方式说明。将与耦合理论预测的结果进行比较，或者忽略体积的粘性影响。已经发现，考虑这些效果是为了减小热应力。

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