摘要
为了研究颗粒体材料的受力和变形性能,建立以力链稳定及其运动学为核心的细观本构模型.选择由3个不同半径颗粒组成的力链单元作为分析对象,通过定义颗粒间的位移模式,由运动位移协调和弯矩平衡条件得出颗粒间的相对切向位移以及各颗粒旋转角之间的关系.根据热力学理论建立力链压曲变形的能量方程,得到力链受力和位移表达式.在力链组构颗粒半径相等的情况下,通过对比分析验证模型的合理性,表明模型能够较合理地拟合离散元模拟实验结果.通过分析2种不同组构颗粒半径情况下力链各物理量的变化趋势,表明力链的受力和变形性能受组构颗粒半径变化的影响较大.
A meso-constitutive model was established in order to analyze the load and the deformation feature of granular material. The core of the model was the stability of the force chain and the kinetics. A force chain composed of three particles of different radiuses was chosen as study object. The relative tangential displacements between the particles and their rotation angles were obtained from the conditions for motor coordination and bending equilibrium by defining the displacement model between particles. Then the expression representing the load and the displacement on force chain was deduced from the energy equation of its buckling deformation according to the thermodynamic theory. Given three particles of same radiuses, the model can match the experimental results obtained by the discrete element method after contrasting and analyzing the reasonability of the model. The changes of each variable were analyzed with the changes of the radiuses of two groups of particles. Results demonstrate that the changing radiuses of particles can greatly influence the force load and the deformation feature.
出处
《浙江大学学报（工学版）》
EI
CAS
CSCD
北大核心
2010年第10期1931-1937,共7页
Journal of Zhejiang University：Engineering Science
关键词
力链
压曲变形
热力学
细观本构模型
force chain
buckling deformation
thermodynamic theory
meso-constitutive model
