Analysis of staggered evolutions for nonlinear energies in phase field fracture
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Publication:2303863
DOI10.1007/s00205-019-01468-4zbMath1448.74012arXiv1904.01895OpenAlexW3101453006WikidataQ126799499 ScholiaQ126799499MaRDI QIDQ2303863
Publication date: 6 March 2020
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.01895
Brittle fracture (74R10) Theories of fracture and damage (74A45) PDEs in connection with mechanics of deformable solids (35Q74) Energy minimization in dynamical problems in solid mechanics (74H80)
Related Items (6)
Approximation Schemes for Materials with Discontinuities ⋮ Irreversibility and alternate minimization in phase field fracture: a viscosity approach ⋮ Weak solutions for unidirectional gradient flows: existence, uniqueness, and convergence of time discretization schemes ⋮ A rigorous and efficient explicit algorithm for irreversibility enforcement in phase-field finite element modeling of brittle crack propagation ⋮ A dimension-reduction model for brittle fractures on thin shells with mesh adaptivity ⋮ Approximation of the Mumford–Shah functional by phase fields of bounded variation
Cites Work
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- Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems
- Generalised functions of bounded deformation
- A density result for GSBD and its application to the approximation of brittle fracture energies
- Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements
- Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions
- A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains
- Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments
- An extension of Prohorov's theorem for transition probabilities with applications to infinite-dimensional lower closure problems
- On semi- and subanalytic geometry
- Numerical experiments in revisited brittle fracture
- A unilateral \(L^2\)-gradient flow and its quasi-static limit in phase-field fracture by an alternate minimizing movement
- A density result in \(GSBD^p\) with applications to the approximation of brittle fracture energies
- Approximation of a brittle fracture energy with a constraint of non-interpenetration
- Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
- Quasistatic crack growth in nonlinear elasticity
- An approximation result for special functions with bounded deformation
- Quasistatic damage evolution with spatial \(BV\)-regularization
- A review on phase-field models of brittle fracture and a new fast hybrid formulation
- Consistent finite-dimensional approximation of phase-field models of fracture
- Rate-independent systems. Theory and application
- Numerical implementation of the variational formulation for quasi-static brittle fracture
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- Balanced viscosity solutions to a rate-independent system for damage
- A VANISHING VISCOSITY APPROACH TO A RATE-INDEPENDENT DAMAGE MODEL
- Convergence of alternate minimization schemes for phase-field fracture and damage
- Convergence of discrete and continuous unilateral flows for Ambrosio–Tortorelli energies and application to mechanics
- An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture
- Fracture energy based bi-dissipative damage model for concrete
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