微扰法求解各向异性的演化结构

来源期刊：中南大学学报(自然科学版)1997年第5期

论文作者：郭少华

文章页码：86 - 89

关键词：损伤体； 各向异性； 规范空间； 微扰法； 演化结构

Key words：damage body； anisotropy； standard space； microdisturbance method； evolution structure

摘    要：给出了损伤各向异性体规范空间结构的概念。对具有简并子空间性质的简单异性体,在定义柔度的基础上,提出了渐近逼近本征值与本征矢的微扰方法,并导出向复杂异性结构分裂演化的判别方程.利用微裂纹体柔度演化的细观计算结果,预测了损伤诱发的宏观各向异性效应,及相应的演化结构。探讨了物体在连续的外力作用下异性结构分裂的临界现象。

Abstract: The conception of the standard space for anisotropic damage body is given here. Based on the definition of the flexibility change, the microdisturbance method that approaches the eigenvalues and eigenvectors gradually is presented for the simple anisotropic body with the overlapping subspace, and the critical equations of the anisotropic evolution are deduced. Using the flexibility equation of the microcrack body, we predict the effects of macroanisotropy induced by the evolution of damage and the relative anisotropic structure. The critical phenomena of the anisotropic abrupt change under the continuous loading are disscused in the final part of this paper.