NDLI: A new multiscale computational method for elasto-plastic analysis of heterogeneous materials

Content Provider	Springer Nature Link
Author	Zhang, H. W. Wu, J. K. Lv, J.
Copyright Year	2011
Abstract	A new multiscale computational method is developed for the elasto-plastic analysis of heterogeneous continuum materials with both periodic and random microstructures. In the method, the multiscale base functions which can efficiently capture the small-scale features of elements are constructed numerically and employed to establish the relationship between the macroscopic and microscopic variables. Thus, the detailed microscopic stress fields within the elements can be obtained easily. For the construction of the numerical base functions, several different kinds of boundary conditions are introduced and their influences are investigated. In this context, a two-scale computational modeling with successive iteration scheme is proposed. The new method could be implemented conveniently and adopted to the general problems without scale separation and periodicity assumptions. Extensive numerical experiments are carried out and the results are compared with the direct FEM. It is shown that the method developed provides excellent precision of the nonlinear response for the heterogeneous materials. Moreover, the computational cost is reduced dramatically.
Starting Page	149
Ending Page	169
Page Count	21
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	49
Issue Number	2
e-ISSN	14320924
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-08-03
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Multiscale computational method Heterogeneous material Base function Elastoplasticity Classical Continuum Physics Computational Science and Engineering Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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