Limit analysis of microstructures based on homogenization theory and the element-free Galerkin method

Canh V. Le, Phuc L. H. Ho

Abstract


This paper presents a novel numerical formulation of computational homogenization analysis of materials at limit state. The fluctuating displacement field are approximated using the Element-Free Galerkin (EFG) meshless method. The estimated yield surface of materials can be determined by handling the multiscale (macro-micro) transition. Taking advantage of high-order EFG shape function and the second-order cone programming, the resulting optimization problem can be solved rapidly with the great accuracy. Several benchmark examples will be investigated to demonstrate the computational efficiency of proposed method.

Keywords


homogenization; limit analysis; second-order cone programming; Element-Free Galerkin method

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References


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DOI: https://doi.org/10.15625/0866-7136/14765 Display counter: Abstract : 72 views. PDF : 44 views.

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