In this paper, a phase field model of ductile fracture is described within the framework of large plastic strains. Most results dealing with phase field modeling of ductile fracture are carried out on a fixed mesh, which requires a fine mesh throughout all the computation. The aim of this paper is to introduce an adaptive isotropic remeshing strategy coupled with a phase field model of ductile fracture to achieve accurate results with a major decrease in computational time. A mixed velocity/pressure finite element formulation is used for the solution of mechanical fields. The plastic strain field needs to be transferred to the new mesh after each remeshing operation. This field transfer requires the use of a suitable remeshing-transfer operator. Different field transfer operators are tested and results are reported. In order to reduce the numerical diffusion associated with the field transfer operation, a volume quality based metric has been introduced. This paper presents different numerical examples with both qualitative and quantitative analyses in order to show the ability of the developed strategy in predicting crack evolution in ductile materials. The proposed framework is also able to predict crack paths in highly ductile materials while benefiting from space-adaptivity.

在本文中，在大塑性应变的框架内描述了韧性断裂的相场模型。有关延性断裂的相场建模的大多数结果是在固定网格上进行的，这需要在所有计算中都使用精细的网格。本文的目的是介绍一种适应性各向同性的重新网格化策略，并结合延性断裂的相场模型，以在不减少计算时间的情况下获得准确的结果。速度/压力混合有限元公式用于解决机械场问题。每次重新网格化操作后，塑性应变场都需要转移到新的网格中。这种现场转移需要使用合适的重排转移算子。测试了不同的现场传输算子并报告了结果。为了减少与场传输操作相关的数值扩散，已经引入了基于体积质量的度量。本文通过定性和定量分析提供了不同的数值示例，以显示所开发策略预测延性材料裂纹发展的能力。拟议的框架还能够预测高度延展性材料中的裂纹路径，同时受益于空间适应性。