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

DOI10.1002/zamm.202200088arXiv2006.14720OpenAlexW4304003150MaRDI QIDQ6202409

Publication date: 26 March 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.14720

Mathematics Subject Classification ID

Fracture and damage (74Rxx) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx) Equilibrium (steady-state) problems in solid mechanics (74Gxx)

Cites Work

Unnamed Item
Unnamed Item
A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
Laws of crack motion and phase-field models of fracture
The variational approach to fracture
A density result in two-dimensional linearized elasticity, and applications
Numerical experiments in revisited brittle fracture
A model for the quasi-static growth of brittle fractures: Existence and approximation results
Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
Quasistatic crack growth in nonlinear elasticity
Revisiting brittle fracture as an energy minimization problem
A variational phase-field model for hydraulic fracturing in porous media
A review on phase-field models of brittle fracture and a new fast hybrid formulation
Interaction between oscillations and singular perturbations in a one-dimensional phase-field model
Phase-field modeling of hydraulic fracture
Homogenization and porous media
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
An extension theorem in SBV and an application to the homogenization of the Mumford-Shah functional in perforated domains
A time-discrete model for dynamic fracture based on crack regularization
\(\Gamma\)-limits and relaxations for rate-independent evolutionary problems
A \(\Gamma\)-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications
A relation between a dynamic fracture model and quasi-static evolution
A phase-field model for cohesive fracture
Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
FRACTURE MECHANICS IN PERFORATED DOMAINS: A VARIATIONAL MODEL FOR BRITTLE POROUS MEDIA
Multiscale Finite Element Methods
Existence and convergence for quasi-static evolution in brittle fracture
A Phase-Field Method for Propagating Fluid-Filled Fractures Coupled to a Surrounding Porous Medium

This page was built for publication: A phase‐field porous media fracture model based on homogenization theory