The elasto-damage theory of the components assembling model  

作　　者：DENG ShouChun LIANG NaiGang LU HaiXing 

机构地区：[1]Institute of Mechanics,Chinese Academy of Sciences(CAS),Beijing 100190,China [2]Graduate School of Ordnance Engineering College,Shijiazhuang 050003,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2009年第1期139-150,共12页中国科学：物理学、力学、天文学（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant Nos.10572140 and 10232050);the Ministry of Science and Technology Foundation (Grant No.2002CB412706) are short of physical basics, and which is particularly evident in anisotropic damage theories.

摘　　要：The potential energy in materials is well approximated by pair functional which is composed of pair potentials and embedding energy. During calculating material potential energy, the orientational component and the volumetric component are derived respectively from pair potentials and embedding energy. The sum of energy of all these two kinds of components is the material potential. No matter how microstructures change, damage or fracture, at the most level, they are all the changing and breaking atomic bonds. As an abstract of atomic bonds, these components change their stiffness during damaging. Material constitutive equations have been formulated by means of assembling all components' response functions. This material model is called the component assembling model. Theoretical analysis and numerical computing indicate that the proposed model has the capacity of reproducing some results satisfactorily, with the advantages of great conceptual simplicity, physical explicitness, and intrinsic induced anisotropy, etc.The potential energy in materials is well approximated by pair functional which is composed of pair potentials and embedding energy. During calculating material potential energy, the orientational component and the volumetric component are derived respectively from pair potentials and embedding energy. The sum of energy of all these two kinds of components is the material potential. No matter how microstructures change, damage or fracture, at the most level, they are all the changing and breaking atomic bonds. As an abstract of atomic bonds, these components change their stiffness during damaging. Material constitutive equations have been formulated by means of assembling all components’ response functions. This material model is called the component assembling model. Theoretical analysis and numerical computing indicate that the proposed model has the capacity of reproducing some results satisfactorily, with the advantages of great conceptual simplicity, physical explicitness, and intrinsic induced anisotropy, etc.

关 键 词：PAIR functional PAIR POTENTIALS embedding energy damage anisotropy orientational COMPONENT VOLUMETRIC COMPONENT COMPONENT ASSEMBLING MODEL 

分 类 号：O481[理学—固体物理]