脆性材料损伤应变软化的数学模型

本文提出一种脆性材料损伤应变软化的数学模型，本构方程是基于热力学原理建立的。虽然是各向同性损伤模型，用标量表示损伤状态，但通过等效损伤应变的定义，能区分拉伸、压缩和剪切载荷对材料损伤的不同响应。由于本构模型中的多数参数均可由材料材料手册简单确定，便于工程应用。

MATHEMATICAL MODEL FOR DAMAGE SOFTENING OF BRITTLE MATERIALS

In this paper the mathematical model for damage softening of brittlematerials is presented,General form of the constitutive equations are establ-lshed from a thermodynamic analysis.Although this is an isotropic contiuunmdamage model,a scalar variable is used to represent the damage state.But using definition of the equivalent damage strain,this model can distinguish thedifferent damage responses among tensile,comprssive and shear loadings.Since the parameters of a constitutive equition can be determined easily froma materials handbook.This model is convenint for engineering application.