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Extended multiscale finite element method for elasto-plastic analysis of 2D periodic lattice truss materials

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Abstract

An extended multiscale finite element method is developed for small-deformation elasto-plastic analysis of periodic truss materials. The base functions constructed numerically are employed to establish the relationship between the macroscopic displacement and the microscopic stress and strain. The unbalanced nodal forces in the micro-scale of unit cells are treated as the combined effects of macroscopic equivalent forces and microscopic perturbed forces, in which macroscopic equivalent forces are used to solve the macroscopic displacement field and microscopic perturbed forces are used to obtain the stress and strain in the micro-scale to make sure the correctness of the results obtained by the downscale computation in the elastic-plastic problems. Numerical examples are carried out and the results verify the validity and efficiency of the developed method by comparing it with the conventional finite element method.

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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 & Z. D. Fu

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  1. H. W. Zhang
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  2. J. K. Wu
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  3. Z. D. Fu
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Correspondence to H. W. Zhang.

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Zhang, H.W., Wu, J.K. & Fu, Z.D. Extended multiscale finite element method for elasto-plastic analysis of 2D periodic lattice truss materials. Comput Mech 45, 623–635 (2010). https://doi.org/10.1007/s00466-010-0475-3

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  • DOI: https://doi.org/10.1007/s00466-010-0475-3

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