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三维链网模型及其应用
引用本文:刘晓宇,梁乃刚,李敏. 三维链网模型及其应用[J]. 力学学报, 2002, 34(4): 629-635
作者姓名:刘晓宇  梁乃刚  李敏
作者单位:中国科学院力学研究所非线性力学国家重点实验室,北京,100080
基金项目:国家自然科学基金(19872065,19732060)项目,中国科学院KGCX1-11(KJ951-1-201)项目资助
摘    要:基于质点间相互作用,按照质点间连线的取向统计材料的应变能,提出了材料的三维链网模型.论述了数值计算中的优化离散方式,井得到了相应的最优立体角取值.标定了模型的几何、物理参数.通过典型算例比较了三维链网模型与有限元方法及剪滞模型的预测结果,验证了三维链网模型具有与有限元同等水平的求解能力和计算精度.

关 键 词:链网模型  体胞单元  刚度张量  离散方式
修稿时间:2000-12-06

THREE-DIMENSIONAL NETWORK MODEL AND IT''''S APPLICATION
Liu Xiaoyu Liang Naigang Li Min. THREE-DIMENSIONAL NETWORK MODEL AND IT''''S APPLICATION[J]. chinese journal of theoretical and applied mechanics, 2002, 34(4): 629-635
Authors:Liu Xiaoyu Liang Naigang Li Min
Abstract:Based on interaction between particles, the strain energy of materials is distributed according to the orientation of the line between particles, and three-dimensional network model of materials is proposed. The discretization in numerical computation is optimized, and the optimum solid angle is derived. The geometrical and physical parameters of the network model are calibrated. The network model is compared with typical finite element model. Taking a short-fiber reinforced composite as an example, the accuracy and capacity of the three-dimensional network are evaluated through a comparison with the shear-lag theory.
Keywords:network model   unit cell   stiffness tensor   discretization
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