Multi-scale computational homogenization: Trends and challenges

被引：764

作者：

Geers, M. G. D. ^{[1
]}

Kouznetsova, V. G. ^{[1
,2
]}

Brekelmans, W. A. M. ^{[1
]}

机构：

[1] Eindhoven Univ Technol, Dept Mech Engn, NL-5612 AZ Eindhoven, Netherlands

[2] Mat Innovat Inst, NL-2628 CD Delft, Netherlands

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 07期

关键词：

Homogenization; Coarse graining; Multi-scale; HETEROGENEOUS MATERIALS; THERMOMECHANICAL ANALYSIS; MULTIPHASE MATERIALS; STRUCTURAL DAMAGE; MACRO TRANSITIONS; SCALE TRANSITION; NUMERICAL-METHOD; ELEMENT; MICROSTRUCTURES; SOLIDS;

D O I：

10.1016/j.cam.2009.08.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the past decades, considerable progress had been made in bridging the mechanics of materials to other disciplines, e.g. downscaling to the field of materials science or upscaling to the field of structural engineering. Within this wide context, this paper reviews the state-of-the-art of a particular, yet powerful, method, i.e. computational homogenization. The paper discusses the main trends since the early developments of this approach up to the ongoing contributions and upcoming challenges in the field. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2175 / 2182

页数：8

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