基于取向组件的三维本构模型

3D constitutive modeling based on orientational components

研究基于取向组件的三维本构建模方法,引入能考虑最基本三维变形效应的4类基本元件(Basic Unit,BU),派生出能充分体现局部取向上材料力学特性的组件,基于变形能叠加原理导出宏观刚度矩阵,建立跨尺度的三维本构模型.该模型采用组件和取向密度函数实现对局部取向上材料特性的描述,在此基础上建立经典弹性理论中材料的几类特殊性质的严格定义,研究表明这些定义与经典弹性理论相容.

An approach in modeling 3D investigated. Four kinds of Basic Unit（BU） into the approach. The components used to constitutive relation based on orientational components is that meet the most basic 3 D deformation effect are introduced fully describe the mechanical characteristics of material at local orientations are derived from the units. The macroscopic stiffness matrix is deduced based on the superposition principle of deformation energy. Then a cross-scale 3D constitutive model is created in which the components and the relevant orientational density functions are used to describe the mechanical characteristics of material at local orientations. Several typical mechanical characters of material in classical elasticity theory are strictly defined. The study indicates that these definitions are consistent with classical elasticity theory.