考虑损伤时带微孔粘弹性体的应力分布

本文根据粘弹性理论和带空沿材料的线性理论，利用Laplace变换及其逆变换，给出了粘弹性损伤材料的一种本构模型。应用这种本构关系。讨论了带损伤的圆环形板或圆筒体在内外压力作用下的平面问题，得到了圆孔边缘附近的应力场和损伤增量场的分布情况，同时根据Laplace变换的终值定理，得到圆环或圆筒的终态应力和损伤增量的分布，并分析了工程中的一个典型的例子。得到了最终损伤的一种近似分布。可为工程设计提供一定的参考。

Stress around a Hole in Viscoelastic Body with Voids

According to the theory of viscoelastic and the linear elastic materials with voids, a constitutive mode of viscoelastic materials with voids was given by using the Laplace transform and its inverse transform. By use of this mode, the plane problem of circle ring or cylinder with voids, which suffers compres-sive forces at the inner and outer boundaries, was discussed. After some analysis, the stress and the damage distributing around the hole could be obtained. From the terminal value theorem of the Laplace transform, the terminal distributions for the stress and the damage were gotten. At last, a typical example in engineering was discussed and the approximate value of the terminal damage was obtained, which may be useful for engineering designer.