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

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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.

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    H. W. Zhang, J. K. Wu & J. Lv

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  1. H. W. Zhang
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  2. J. K. Wu
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  3. J. Lv
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Correspondence to H. W. Zhang.

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Zhang, H.W., Wu, J.K. & Lv, J. A new multiscale computational method for elasto-plastic analysis of heterogeneous materials. Comput Mech 49, 149–169 (2012). https://doi.org/10.1007/s00466-011-0634-1

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  • DOI: https://doi.org/10.1007/s00466-011-0634-1

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