A variational reduced-order model bridges perturbation and variational fracture approaches to simulate coplanar 3D crack propagation in heterogeneous brittle solids, uncovering size-dependent weakening-to-toughening crossovers driven by depinning instabilities.
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2026 5representative citing papers
A chemo-mechanical phase-field framework demonstrates that dissolution-driven widening of the fracture process zone blunts crack tips and promotes ductile failure when chemical degradation timescales compete with mechanical loading.
Separate Puck fibre and matrix/inter-fibre phase-field fatigue channels, degrading resistance not stiffness, reproduce orientation- and notch-dependent UD composite fatigue modes with one fixed card.
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
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Bridging perturbation and variational approaches in brittle fracture
A variational reduced-order model bridges perturbation and variational fracture approaches to simulate coplanar 3D crack propagation in heterogeneous brittle solids, uncovering size-dependent weakening-to-toughening crossovers driven by depinning instabilities.
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Brittle-to-ductile fracturing transition: A chemo-mechanical phase-field framework
A chemo-mechanical phase-field framework demonstrates that dissolution-driven widening of the fracture process zone blunts crack tips and promotes ductile failure when chemical degradation timescales compete with mechanical loading.
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A Puck-informed mode-resolved phase-field fatigue framework for unidirectional composites
Separate Puck fibre and matrix/inter-fibre phase-field fatigue channels, degrading resistance not stiffness, reproduce orientation- and notch-dependent UD composite fatigue modes with one fixed card.
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A Correction Method for Crack Area Overestimation in Phase-Field Fracture
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.
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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.