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| 基于虚内键理论的材料多尺度力学模型 | |
| 引用本文： | 张振南,葛修润,李永和.基于虚内键理论的材料多尺度力学模型[J].固体力学学报,2006,27(4):325-329. |
| 作者姓名： | 张振南 葛修润 李永和 |
| 作者单位： | 1. 上海市应用数学和力学研究所,上海大学,上海,200072;上海大学土木工程系,上海,200072 2. 上海交通大学岩土力学与工程研究所,上海,200030;中国科学院武汉岩土力学研究所,武汉,430071 3. 上海大学土木工程系,上海,200072 |
| 基金项目： | 国家重点基础研究发展规划项目(973项目)(2002CB412704)资助 |
| 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. |
| 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 |
| 收稿时间： | 2005-12-29 |
| 修稿时间： | 2006-05-25 |
A MULTISCALE MECHANICAL MODEL OF MATERIALSBASED ON VIRTUAL INTERNAL BOND THEORY |
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| Zhang Zhennan,Ge Xiurun,Li Yonghe.A MULTISCALE MECHANICAL MODEL OF MATERIALSBASED ON VIRTUAL INTERNAL BOND THEORY[J].Acta Mechnica Solida Sinica,2006,27(4):325-329. | |
| Authors: | Zhang Zhennan Ge Xiurun Li Yonghe |
| Institution: | 1.Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University , Shanghai,200072; 2 Department of Civil Engineering, Shanghai University, Shanghai,200072;3 Institute of Geotechnical Engineering, Shanghai Jiaotong University, Shanghai, 200030; 4 Institute of Rock and Soil Mechanics, the Chinese Academy of Sciences, Wuhan ,430071 |
| Abstract: | 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-dimensional Internal Bonds) model,is proposed by incorporating 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. |
| Keywords: | virtual multi-dimensional internal bond material property dimensionality multiscale modeling molecular dynamics VIB |
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