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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2014007470
pages 127-154

A MULTISCALE COMPUTATIONAL METHOD FOR 2D ELASTOPLASTIC DYNAMIC ANALYSIS OF HETEROGENEOUS MATERIALS

Hongwu Zhang
Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, P. R. China
Hui Liu
Department of Engineering Mechanics, School of Civil Engineering, Wuhan University, Wuhan, 430072, People's Republic of China

Краткое описание

The elastoplastic dynamic analysis of heterogeneous materials is studied based on the multiscale computational method developed in our previous work (Zhang et al., 2013). The basic principles of this method are introduced briefly. To describe the complex deformation, a 2D multinode coarse element is proposed. In addition, to improve the computational accuracy for the dynamic problems, mode base functions are introduced into the multiscale numerical base functions to consider the dynamic effect of the structure. For nonlinear elastic or elastoplastic dynamic problems, the microscopic unbalanced nodal force cannot be projected to the macroscopic level effectively only by the displacement and mode base functions when the nonlinear material deformation occurs during the computation. So a correction technique of the local displacement is applied to deal with the unprojected microscopic unbalance forces within the coarse element. Furthermore, the computational procedures of a two-scale modeling are proposed within the framework of nonlinear dynamic analysis. Extensive numerical experiments are carried out and the results are compared with the traditional finite element method (FEM) which is applied directly on the fine-scale mesh. It is shown that the proposed multiscale method can obtain excellent precision of the nonlinear dynamic response of the elastoplastic heterogeneous materials. Moreover, the computation comparisons indicate that the proposed method spends less computer memory and CPU time than the traditional FEM.

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