计算力学学报2016，Vol.33Issue(4)：504-508,535,6.DOI:10.7511/jslx201604013
渐进多尺度展开方法的精度和物理意义
Accuracy and physical interpretation of multiscale asymptotic expansion method
摘要
Abstract
The multiscale asymptotic expansion method (MsAEM)can be implemented by using weighted residual method etc.The authors have studied the accuracy and physical interpretation of MsAEM for years.This paper reviewed the authors ’ previous works,further demonstrated the relationships of element order and perturbation order with exact solution for one-dimensional periodical structures;revealed the physical interpretations of different orders of influence functions and self-balanced quasi loads;and emphasized that the second order of expansion is essential for the accuracy of MsAEM from the physical perspective.It also presented an outlook of future work.关键词
多尺度渐进展开方法/物理意义/精度Key words
multiscale asymptotic expansion method/physical interpretation/accuracy分类
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邢誉峰,高亚贺..渐进多尺度展开方法的精度和物理意义[J].计算力学学报,2016,33(4):504-508,535,6.基金项目
国家自然科学基金(11172028,1372021) （11172028,1372021）
高等学校博士学科点专项科研基金(20131102110039) （20131102110039）
资助项目 （）
