A phase‐field porous media fracture model based on homogenization theory (Q6202409)

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scientific article; zbMATH DE number 7824433

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English	A phase‐field porous media fracture model based on homogenization theory	scientific article; zbMATH DE number 7824433

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scholarly article

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A phase‐field porous media fracture model based on homogenization theory (English)

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10.1002/zamm.202200088

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Henrique Versieux

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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

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publication date

26 March 2024

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full work available at URL

https://arxiv.org/abs/2006.14720

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Mathematics Subject Classification ID

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zbMATH DE Number

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MaRDI publication profile

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Revisiting brittle fracture as an energy minimization problem

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A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits

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Laws of crack motion and phase-field models of fracture

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A phase-field model for cohesive fracture

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A review on phase-field models of brittle fracture and a new fast hybrid formulation

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

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Existence and convergence for quasi-static evolution in brittle fracture

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Quasistatic crack growth in nonlinear elasticity

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A variational phase-field model for hydraulic fracturing in porous media

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Phase field modeling of fracture in multi-physics problems. III: Crack driving forces in hydro-poro-elasticity and hydraulic fracturing of fluid-saturated porous media

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Phase-field modeling of hydraulic fracture

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A Phase-Field Method for Propagating Fluid-Filled Fractures Coupled to a Surrounding Porous Medium

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A relation between a dynamic fracture model and quasi-static evolution

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A time-discrete model for dynamic fracture based on crack regularization

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The variational approach to fracture

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Homogenization and porous media

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FRACTURE MECHANICS IN PERFORATED DOMAINS: A VARIATIONAL MODEL FOR BRITTLE POROUS MEDIA

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An extension theorem in SBV and an application to the homogenization of the Mumford-Shah functional in perforated domains

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Interaction between oscillations and singular perturbations in a one-dimensional phase-field model

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A \(\Gamma\)-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications

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\(\Gamma\)-limits and relaxations for rate-independent evolutionary problems

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Multiscale Finite Element Methods

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Numerical experiments in revisited brittle fracture

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

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