介观背景下的标量、矢量和张量损伤参数
Scalar, vectorial and tensorial damage parameters from the mesoscopic background
摘要：
在介观理论中，引入了不同裂纹尺寸和裂纹取向的分布。根据该分布函数定义了标量损伤参数、二阶损伤张量和矢量损伤参数。作为本构量的一个例子，自由能量密度作为损伤张量的函数给出。该方程在单轴情况下简化为损伤矢量的函数，在特殊几何形状的情况下简化为标量损伤参数的函数。
英文摘要：
In the mesoscopic theory a distribution of different crack sizes and crack orientations is introduced. A scalar damage parameter, a second order damage tensor and a vectorial damage parameter are defined in terms of this distribution function. As an example of a constitutive quantity the free energy density is given as a function of the damage tensor. This equation is reduced in the uniaxial case to a function of the damage vector and in case of a special geometry to a function of the scalar damage parameter.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
