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本文提出基于应变梯度的损伤模型 ,并用于材料局部化损伤模拟预测中。在有限元数值计算中对平面问题 ,使用平面高阶连续高精度单元和有限差分方法耦合 ,在保证精度情况下可提高计算效率 ,还避免对传统有限元程序作较大的改动 ;对三维情况 ,本文构造了四面体高阶连续单元。算例表明该模型对于避免有限元数值方法局部化预测模拟的单元网格依赖性有非常好的效果 ,其预测出的局部化损伤与实际破坏情况非常相近
In this paper, a strain model based on strain gradient is proposed and used in the simulation of material damage localization. In the finite element numerical calculation of plane problems, the use of planar high-order continuous high-precision unit and the finite difference method coupled to ensure the accuracy of the case can improve the computational efficiency, but also to avoid the traditional finite element program to make major changes; the three-dimensional situation In this paper, a tetrahedron high order continuous cell is constructed. The example shows that the model has a very good effect on avoiding the cell grid dependence of the finite element numerical method for localized prediction simulation. The predicted localized damage is very similar to the actual damage