Irreversibility and alternate minimization in phase field fracture: a viscosity approach (Q2194005)

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English	Irreversibility and alternate minimization in phase field fracture: a viscosity approach	scientific article

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instance of

scholarly article

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title

Irreversibility and alternate minimization in phase field fracture: a viscosity approach (English)

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author

Stefano Almi

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published in

ZAMP. Zeitschrift für angewandte Mathematik und Physik

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publication date

25 August 2020

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full work available at URL

https://arxiv.org/abs/1909.12092

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zbMATH Keywords

phase field

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fracture mechanics

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alternate minimization

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vanishing viscosity

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MaRDI profile type

MaRDI publication profile

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cites work

Energy release rate and quasi-static evolution <i>via </i>vanishing viscosity in a fracture model depending on the crack opening

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Consistent finite-dimensional approximation of phase-field models of fracture

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Convergence of discrete and continuous unilateral flows for Ambrosio–Tortorelli energies and application to mechanics

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Crack growth by vanishing viscosity in planar elasticity

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Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks

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Analysis of staggered evolutions for nonlinear energies in phase field fracture

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Linearly constrained evolutions of critical points and an application to cohesive fractures

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Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials

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Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements

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An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture

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AN ADAPTIVE FINITE ELEMENT APPROXIMATION OF A GENERALIZED AMBROSIO–TORTORELLI FUNCTIONAL

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A density result in two-dimensional linearized elasticity, and applications

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Approximation of a brittle fracture energy with a constraint of non-interpenetration

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A density result in \(GSBD^p\) with applications to the approximation of brittle fracture energies

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Viscous approximation of quasistatic evolutions for a coupled elastoplastic-damage model

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Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures

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ON THE INVISCID LIMIT OF A MODEL FOR CRACK PROPAGATION

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A VANISHING VISCOSITY APPROACH TO A RATE-INDEPENDENT DAMAGE MODEL

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A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains

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A MODEL FOR CRACK PROPAGATION BASED ON VISCOUS APPROXIMATION

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Finite element discretization of local minimization schemes for rate-independent evolutions

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A unilateral \(L^2\)-gradient flow and its quasi-static limit in phase-field fracture by an alternate minimizing movement

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Identifiers

zbMATH Open document ID

1447.35312

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DOI

10.1007/s00033-020-01357-x

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2194005