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Micropolar continuum modeling of 2-D periodic cellular solids and a fast mapping algorithm for micro-stress

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Indexed by:会议论文

Date of Publication:2008-06-03

Included Journals:EI、CPCI-S、SCIE、Scopus

Page Number:280-284

Key Words:cellular material; micropolar continuum; size effect; multiscale

Abstract:Micropolar equivalent continuum model is established in this paper to capture the non-local properties of cellular materials and to explain the size effects and boundary layer effects. We present a new united approach to formulate the equivalent micropolar constitutive relation of 2-D periodic cellular solids. The solutions from the classical Cauchy-type continuum and three kinds of micropolar continua are compared with the exact discrete simulations of same structures. Based on the numerical simulation, micropolar continuum can give much better agreement than those from Cauchy-type continuum, especially around regions with loading applied and near boundary layer of structures. At last, a fast mapping algorithm for detailed micro-stress distribution in components of cellular materials is developed based on the results from micropolar continuum representation.

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