3-D network model and its parameter calibration  

作　　者：刘晓宇 梁乃刚 李敏 

出　　处：《Science China Mathematics》2002年第10期1351-1360,共10页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China (Grant Nos. 19872065 and 19732060); the project KGCX1-11 supported by the Chinese Academy of Sciences Foundation.

摘　　要：A material model, whose framework is parallel spring-bundles oriented in 3-D space, is proposed. Based on a discussion of the discrete schemes and optimum discretization of the solid angles, a 3-D network cell consisted of one-dimensional components is developed with its geometrical and physical parameters calibrated. It is proved that the 3-D network model is able to exactly simulate materials with arbitrary Poisson ratio from 0 to 1/2, breaking through the limit that the previous models in the literature are only suitable for materials with Poisson ratio from 0 to 1/3. A simplified model is also proposed to realize high computation accuracy within low computation cost. Examples demonstrate that the 3-D network model has particular superiority in the simulation of short-fiber reinforced composites.A material model, whose framework is parallel spring-bundles oriented in 3-D space, isproposed. Based on a discussion of the discrete schemes and optimum discretization of the solidangles, a 3-D network cell consisted of one-dimensional components is developed with its geomet-rical and physical parameters calibrated. It is proved that the 3-D network model is able to exactlysimulate materials with arbitrary Poisson ratio from 0 to 1/2, breaking through the limit that the pre-vious models in the literature are only suitable for materials with Poisson ratio from 0 to 1/3. A sim-plified model is also proposed to realize high computation accuracy within Iow computation cost.Examples demonstrate that the 3-D network model has particular superiority in the simulation ofshort-fiber reinforced composites.

关 键 词：STRAIN energy STIFFNESS modulus  ORIENTATION component  network model  POISSON ratio. 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]