基于非局部隐式梯度模型的混凝土断裂损伤  

Fracture and damage of concrete material based on the implicit gradient model

作　　者：汪忠明[1] 牛晓玉[1] 杨伯源[1] 

机构地区：[1]合肥工业大学土木建筑工程学院,安徽合肥230009

出　　处：《中国科学技术大学学报》2010年第6期651-656,共6页JUSTC

基　　金：安徽省教育厅基金(2009AJZR0593);合肥工业大学基金(2009HGXJ0038)资助

摘　　要：介绍了隐式梯度模型及其与非局部模型的关系;分析了隐式梯度模型中非局部等价应变求解时形函数的选取原则;讨论了受均布载荷作用下平面应力裂纹混凝土板裂尖的应变场;提出了隐式梯度模型中采用数值外插法求解裂尖的非局部等价应变,解决了裂尖损伤场光滑问题.数值计算表明隐式梯度模型对避免软化损伤模拟时的病态网格依赖性和零能量损耗有非常好的效果.The characteristics of the implicit gradient were introduced and the relationship between the nonlocal model and the implicit gradient model was demonstrated. The defining principle of the interpolations functions was studied,and the numerical extrapolated method for calculating nonlocal equivalent strain at the crack tip of the concrete board under uniformly distributed loads was presented while the strain field was discussed and the supposed smoothness of the damage field was ensured. Numerical calculation shows that the implicit gradient model can overcome pathological mesh dependence and zero energy consumption when the strain-softening phenomenon of concrete material is simulated.

关 键 词：非局部等价应变 隐式梯度模型 网格依赖性 数值外插法 

分 类 号：O34[理学—固体力学]