颗粒材料细观组构表达的动力本构模型研究

项目名称： 颗粒材料细观组构表达的动力本构模型研究

项目编号： No.11472029

项目类型： 面上项目

立项/批准年度： 2015

项目学科： 数理科学和化学

项目作者： 高政国

作者单位： 北京航空航天大学

项目金额： 68万元

中文摘要： 颗粒材料的宏观力学性能与细观颗粒形状、大小、排列等组构特性密切相关，特别是在承载时，细观构型演化表现出的应力涨落行为往往难以预测。为深入认识颗粒组构演化对宏观本构关系的影响，本项目拟采用理论分析、力学试验与数值模拟方法开展颗粒材料细观组构与动力特性关系的研究。首先建立力链形式的颗粒接触力压力迹线网络，进行拓扑分析与统计计算，建立颗粒组细观构的特征参数；然后建立组构张量形式的应力应变表达，来描述颗粒构型的各向异性特征；最后通过不同构型的动力响应与能量耗散特征分析，建立能够表达颗粒组构演化的宏观动力本构模型。研究成果可为颗粒材料本构理论研究提供支持，也可为颗粒材料工程力学特性的研究提供参考。

中文关键词： 颗粒材料；细观组构；动力本构模型；组构张量；力链

英文摘要： Macroscopic mechanical behavior of granular materials is closely related to the composition characteristics, such as particle shape, size, arrangement pattern in meso-scale. The stress value, especially in the loading process, is almost unpredictable in granular material for the meso-structure changing constantly. For in-depth understanding the relationship between the material fabric evolution and macroscopic constitutive hehavior, we carry out a theoretical, experimental and numerical analysis work to study the fabric properties of meso-structure and the dynamic response in granular materials. A particle contact force traces network will be built by the concept of force chains in this work. And parameters of network, related the characteristics of mesoscopic structures, will be calculated by topological methods and statistical methods. Then, the fabric stress and strain, expressing the anisotropy of microscopic particle partten, will be established by fabric tensor. Finally, the constitutive law for granular materials will be developed by characteristics of dynamic response and energy dissipation in mesoscopic structures. This study will provide support for the constitutive theory of granular materials, and the results will also provide a reference for the study of the mechanical properties of granular materials engineering.

英文关键词： Granular material;mesoscopic fabric;dynamic constitutive model;fabric tensor;force chains