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A MULTISCALE MECHANICAL MODEL FOR MATERIALS BASED ON virtual internal bond THEORY

Acta Mechanica Solida Sinica 2006年第3期19卷 196-202页

作者： Zhang Zhennan Ge Xiurun Li Yonghe 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

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.

关键词： virtual multi-dimensional internal bond material property dimensionality multiscale modeling molecular dynamics virtual internal bond

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Numerical Simulation of Rock Fracturing under Uniaxial Compression Using virtual internal bond Model

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Journal of Shanghai Jiaotong university(Science) 2009年第4期14卷 423-428页

作者：柯长仁蒋俊玲葛修润 School of Naval Architecture Ocean and Civil Engineering Shanghai Jiaotong University School of Civil Engineering Hubei University of Technology Institute of Rock and Soil Mechanics The Chinese Academy of Science

A multi-scale virtual internal bond (VIB) model for the isotropic materials has been recently proposed to describe the material deformation and fracturing. During the simulation process of material fracturing using VIB, the fracture criterion is directly built into the constitutive formulation of the material using the cohesive force law. Enlightened by the similarity of the damage constitutive model of rock under uniaxial compression and the cohesive force law of VIB, a VIB density function of rock under uniaxial compression is suggested. The elastic modulus tensor is formulated on the basis of the density function. Thus the complete deformation process of rock under the uniaxial compression is simulated.

关键词： virtual internal bond rock uniaxial compression stress-strain curve

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