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Computational multiscale methods for granular materials

ISSN号：2095-0349
期刊名称：Theoretical and Applied Mechanics Letters
时间：2013.1.1
页码：-
分类：O175.2[理学—数学;理学—基础数学] TQ02[化学工程]
作者机构：[1]The State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology,Dalian 116024, China
相关基金：supported by the National Natural Science Foundation of China(11072046,10672033,90715011 and 11102036);the National Basic Research and Development Program(973Program,2010CB731502)
相关项目：基于细观力学信息的颗粒材料破坏过程宏观本构模型与表征

作者：李锡夔|

关键词：多尺度方法, 颗粒材料, 计算, COSSERAT介质, 混合有限元方法, 各向异性损伤, 微观结构, 变分原理, granular material, discrete particle assembly, gradient Cosserat continuum, computational homogenization, bridge scale method, damage characterization

中文摘要：

The fine-scale heterogeneity of granular material is characterized by its polydisperse microstructure with randomness and no periodicity. To predict the mechanical response of the material as the microstructure evolves, it is demonstrated to develop computational multiscale methods using discrete particle assembly-Cosserat continuum modeling in micro- and macro- scales, respectively. The computational homogenization method and the bridge scale method along the concurrent scale linking approach are briefly introduced. Based on the weak form of the Hu-Washizu variational principle, the mixed finite element procedure of gradient Cosserat continuum in the frame of the second-order homogenization scheme is developed. The meso-mechanically informed anisotropic damage of effective Cosserat continuum is characterized and identified and the microscopic mechanisms of macroscopic damage phenomenon are revealed.

英文摘要：

The fine-scale heterogeneity of granular material is characterized by its polydisperse microstructure with randomness and no periodicity. To predict the mechanical response of the material as the microstructure evolves, it is demonstrated to develop computational multiscale methods using discrete particle assembly-Cosserat continuum modeling in micro- and macro- scales,respectively. The computational homogenization method and the bridge scale method along the concurrent scale linking approach are briefly introduced. Based on the weak form of the Hu-Washizu variational principle, the mixed finite element procedure of gradient Cosserat continuum in the frame of the second-order homogenization scheme is developed. The meso-mechanically informed anisotropic damage of effective Cosserat continuum is characterized and identified and the microscopic mechanisms of macroscopic damage phenomenon are revealed. c 2013 The Chinese Society of Theoretical and Applied Mechanics. [doi： 10.1063/2.1301101]

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