<p>This work examines and discerns variation in brittle fracture behavior of porous materials made of either idealized or realistic, microscale, pore morphologies. Constitutive anisotropy owed to a material’s heterogeneous microstructure is captured via classical asymptotic homogenization and relayed to a phase-field model of linear elastic brittle fracture. Various effective constitutive tensors are input into a finite element model of a 2-D, edge-cracked plate in tension to ascertain how microscale pore morphology affects macroscale fracture behavior. Despite uniform porosity values, the effective constitutive tensors computed showed a clear trend for idealized and realistic RVE morphologies. When diagonal and off-diagonal terms of these tensors are evaluated, each term is consistently lower for realistic pore morphologies versus idealistic cases. Such results contribute to lower forces and longer plate extensions required to propagate a crack for realistic pore morphologies.</p>

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Phase-field fracture modeling in porous materials with idealized and realistic morphologies

  • Ryan Nielsen,
  • Pania Newell

摘要

This work examines and discerns variation in brittle fracture behavior of porous materials made of either idealized or realistic, microscale, pore morphologies. Constitutive anisotropy owed to a material’s heterogeneous microstructure is captured via classical asymptotic homogenization and relayed to a phase-field model of linear elastic brittle fracture. Various effective constitutive tensors are input into a finite element model of a 2-D, edge-cracked plate in tension to ascertain how microscale pore morphology affects macroscale fracture behavior. Despite uniform porosity values, the effective constitutive tensors computed showed a clear trend for idealized and realistic RVE morphologies. When diagonal and off-diagonal terms of these tensors are evaluated, each term is consistently lower for realistic pore morphologies versus idealistic cases. Such results contribute to lower forces and longer plate extensions required to propagate a crack for realistic pore morphologies.