期刊
MECHANICS RESEARCH COMMUNICATIONS
卷 35, 期 1-2, 页码 126-133出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechrescom.2007.07.004
关键词
homogenization; micromechanics; nonlocal modeling
类别
This work endeavors to identify the microscopic and macroscopic behaviors of an elastic medium with periodic microstructure in case a polynomial displacement field is imposed on its representative unit cell. A micromechanical method is developed to solve this microstructural boundary value problem and the spatial averaging theorem is adopted to derive macroscopic equivalent descriptions of the medium. The higher-order macroscopic constitutive responses derived in this work is found identical with that obtained by asymptotic homogenization method and a novel Cosserat-type macroscopic constitutive relation is also delivered. (c) 2007 Elsevier Ltd. All rights reserved.
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