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颗粒材料修正的微形态连续体模型研究 被引量:1

A modified micromorphic model based on micromechanics for granular materials
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摘要 基于细观力学给出了1个颗粒材料的修正的微形态连续体模型。在该模型中,考虑了颗粒的平动和转动,且对颗粒间的相对运动进行分解,认为颗粒的细观真实运动(包括平动和转动)是由细观平均运动与1个表征相对于平均运动的波动组成。对微曲率进行对称修正,推导得到了与对称应变张量共轭的对称柯西应力张量,与对称微曲率张量共轭的对称偶应力张量,以及与非对称相对应变张量(微曲率张量)共轭的非对称相对应力张量(偶应力张量)。基于运动分解与对称修正,最终得到了1个颗粒材料的1阶微形态宏观本构关系。宏观本构关系包括应力-应变关系,偶应力-微曲率关系,以及相对应力(偶应力)-相对应变(微曲率)关系。宏观本构模量通过表征细观信息的接触刚度、内部长度参数等识别。 A modified micromorphic continuum model is proposed for granular materials based on a micromechanics approach.In this model,a continuum material point is considered as a granular volume element whose deformation behavior is influenced by the translation and the rotation of particles.And a hypothesis is proposed that the microscopic actual motion is decomposed into a microscopic average motion and a fluctuation related to the average motion.By symmetric correction of micro curvature,a symmetric Cauchy stress and a symmetric couple stress conjugated with a symmetric strain and a symmetric curvature respectively,and asymmetric relative stress measures conjugated with asymmetric relative strain measures are obtained.Based on this decomposition and the symmetry correction,first-order micromorphic constitutive relationships are derived for granular materials with inclusion of stress-strain relation,even stress-micro curvature relation and relative stress-strain relation.Furthermore,the macroscopic constitutive moduli in the micromorphic model are obtained in the expressions of the microstructural information such as the contact stiffness and the internal length.
作者 修晨曦 楚锡华 XIU Chenxi;CHU Xihua(Department of Engineering Mechanics,School of Civil Engineering,Wuhan University,Wuhan 430072,P.R.China;State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian,Liaoning 116024,P.R.China)
出处 《重庆大学学报(自然科学版)》 EI CAS CSCD 北大核心 2020年第6期1-11,共11页 Journal of Chongqing University
基金 国家自然科学基金资助项目(11772237,11472196) 工业装备结构分析国家重点实验室开放基金资助项目(GZ19110)。
关键词 颗粒材料 细观力学 微形态模型 微结构 granular materials micromechanics micromorphic model microstructure
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