A MULTISCALE MECHANICAL MODEL FOR MATERIALS BASED ON VIRTUAL INTERNAL BOND THEORY

作     者：Zhang Zhennan Ge Xiurun Li Yonghe 

作者机构：Department of Civil Engineering Shanghai University Shanghai 200072 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China Institute of Geotechnical Engineering Shanghai Jiaotong University Shanghai 200030 China Institute of Rock and Soil Mechanics the Chinese Academy of Sciences Wuhan 430071 China 

出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)

年 卷 期：2006年第19卷第3期

页      面：196-202页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Basic Research Program of China (973 Project) (No. 2002CB412704) 

主　　题：virtual multi-dimensional internal bond material property dimensionality multiscale modeling molecular dynamics virtual internal bond 

摘      要：Only two macroscopic parameters are needed to describe the mechanical properties of linear elastic solids, i.e. the Poisson＇s ratio and Young＇s modulus. Correspondingly, there should be two microscopic parameters to determine the mechanical properties of material if the macroscopic mechanical properties of linear elastic solids are derived from the microscopic level. Enlightened by this idea, a multiscale mechanical model for material, the virtual multi-dimensional internal bonds （VMIB） model, is proposed by incorporating a shear bond into the virtual internal bond （VIB） model. By this modification, the VMIB model associates the macro mechanical properties of material with the microscopic mechanical properties of discrete structure and the corresponding relationship between micro and macro parameters is derived. The tensor quality of the energy density function, which contains coordinate vector, is mathematically proved. From the point of view of VMIB, the macroscopic nonlinear behaviors of material could be attributed to the evolution of virtual bond distribution density induced by the imposed deformation. With this theoretical hypothesis, as an application example, a uniaxial compressive failure of brittle material is simulated. Good agreement between the experimental results and the simulated ones is found.