摘要
宏观上线弹性材料的力学属性只需杨氏模量和泊松比两个相互独立的参量来控制;相应地,微观上也需要两个相互独立的参量来控制.基于这个思想,在原VIB模型中引入了切向键,并提出了VMIB模型.该模型在材料的宏观力学属性与微观虚拟键力学属性之间建立起了一座桥梁.考虑到模型中能量密度函数含有坐标轴方向向量一项,该文对能量密度函数的张量性进行了严格的数学证明,并将VMIB模型初步应用到脆性材料的单轴受压破坏.
Only two macroscopic parameters are needed to describe the mechanical properties of linear elastic solids, i.e. Poisson ratio and Young＇s modulus. Correspondingly, there should be two microscopic parameters needed to govern the material mechanical properties if the macroscopic mechanical properties of linear elastic solids are derived from the microscopic level. Enlightened by this idea, a multiscale mechanical model of material, VMIB（Virtual Multi-dimenslonal Internal Bonds） model, is proposed by incorpora ring a shear bond into the VIB （Virtual Internal Bond） model. VMIB model associates the macro mechanical properties of material with the mechanical properties of discrete structure in microscopic. The tensor quality of energy density function, which contains coordinate vector, is mathematically proofed. To show the application of VMIB, the presented paper uses it to simulate an uniaxial compressive test of brittle material.
出处
《固体力学学报》
CAS
CSCD
北大核心
2006年第4期325-329,共5页
Chinese Journal of Solid Mechanics
基金
国家重点基础研究发展规划项目(973项目)(2002CB412704)资助
关键词
多维虚内键模型
材料属性维度
多尺度模型
分子动力学
VIB模型
virtual multi-dimensional internal bond,material property dimensionality,multiscale modeling, molecular dynamics,VIB
