Dynamic Fracture Prediction With Nonlocal Macro-Meso-Scale Consistent Damage Material Point Method(NMMD-MPM)

  • Zeng, Zhixin (Hannover University)
  • Zhuang, Xiaoying (Hannover University)

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The damage-based methods for fracture prediction, such as phase field method and gradient enhanced damage method require solving coupled momentum and damage update equations, which leads to poor simulation efficiency and convergence. To overcome this shortage, the nonlocal macro-meso-scale consistent damage model (NMMD) inspired by the concept of PD and the phase-field method is proposed. In NMMD, the macro-damage factor of a material point is calculated directly by the integration of the meso-damage factor of the pair-bonds in an influence domain. The mechanical behavior of the material after damage are controlled by a degradation function, which is similar to phase field method. In this work, we propose a novel NMMD-MPM model for efficient prediction of dynamic fracture propagation with extreme deformation. The macro-damage factor of the material point is calculated by the integration of the meso-damage factor of the pair-bonds in an influence domain in the initial configuration. And the meso-damage factor is related to the stretch value of the pair-bond. Furthermore, the crack-direction based strain energy decomposition is applied here to capture the mechanical behavior near the fracture surface.NMMD-MPM can accurately predict the fracture branching path, and the predicted strain energy also demonstrate good agreement to the result of the PFMPM and PFFEM. Furthermore, NMMD-MPM can be naturally applied on the simulation of fracture problems with interface by change the critical stretch of the pair-bond across the interface. As shown in the numerical application, NMMD-MPM can precisely predict the fracture deflection/penetration caused by the interface with different included angle between pre-set crack and interface.