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.
Title resolution pending
4 Pith papers cite this work, alongside 2,672 external citations. Polarity classification is still indexing.
4
Pith papers citing it
2,672
external citations · Crossref
citation-role summary
background 2
method 1
citation-polarity summary
years
2026 4verdicts
UNVERDICTED 4representative citing papers
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.
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.
citing papers explorer
-
A multiphysics deep energy method for fourth-order phase-field fracture with piezoresistive self-sensing
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.
-
Proximal Galerkin for Phase Field Fracture
The proximal Galerkin method reformulates phase-field fracture constraints into saddle-point problems to enforce physical bounds and irreversibility for static and dynamic cases.