A state-dependent dissipation potential is used to add arbitrary elastic domains to variational phase-field fracture models while keeping degradation and strength criteria separate.
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6 Pith papers cite this work, alongside 2,672 external citations. Polarity classification is still indexing.
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2026 6verdicts
UNVERDICTED 6representative citing papers
Phase-field peridynamics degrades bond energies continuously via a bond phase-field parameter while using kinematic degradation to preserve nonlocal deformation gradient accuracy, with an analytically derived normalization constant for thermodynamic consistency.
A deep energy method simulates fourth-order phase-field fracture in piezoresistive materials via one-way coupled electrical sensing after solving the mechanics-fracture problem.
Hybrid phase-field and attention-based deep learning model predicts microstructure evolution in ternary alloys up to 400 timesteps with generalization to new compositions.
A correction method approximates true crack area in phase-field models as twice the gradient-dependent energy term, leveraging energy equipartition to overcome diffuse representation and numerical artifacts.
The proximal Galerkin method reformulates phase-field fracture constraints into saddle-point problems to enforce physical bounds and irreversibility for static and dynamic cases.
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Phase-Field Peridynamics
Phase-field peridynamics degrades bond energies continuously via a bond phase-field parameter while using kinematic degradation to preserve nonlocal deformation gradient accuracy, with an analytically derived normalization constant for thermodynamic consistency.