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论文类型：期刊论文

发表时间：2016-06-01

发表刊物：ACTA MECHANICA SINICA

收录刊物：SCIE、EI、ISTIC、Scopus

卷号：32

期号：3

页面范围：456-468

ISSN号：0567-7718

关键字：Cellular material; Micropolar continuum; Size effect; Equivalent property

摘要：In this paper, we present a new united approach to formulate the equivalent micropolar constitutive relation of two-dimensional (2-D) periodic cellular material to capture its non-local properties and to explain the size effects in its structural analysis. The new united approach takes both the displacement compatibility and the equilibrium of forces and moments into consideration, where Taylor series expansion of the displacement and rotation fields and the extended averaging procedure with an explicit enforcement of equilibrium are adopted in the micromechanical analysis of a unit cell. In numerical examples, the effective micropolar constants obtained in this paper and others derived in the literature are used for the equivalent micropolar continuum simulation of cellular solids. The solutions from the equivalent analysis are compared with the discrete simulation solutions of the cellular solids. It is found that the micropolar constants developed in this paper give satisfying results of equivalent analysis for the periodic cellular material.