Identifying the crack path for the phase field approach to fracture with non-maximum suppression

Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations

Christian Miehé, Fabian Welschinger, Martina Hofacker · International Journal for Numerical Methods in Engineering · 2010 · 2.6K citations

Engineering, Fracture Optimization, Multiscale Mechanics +23

A phase-field description of dynamic brittle fracture

Michael J. Borden, Clemens V. Verhoosel, Michael A. Scott et al. · Computer Methods in Applied Mechanics and Engineering · 2012 · 1.7K citations

Engineering, Physics, Mechanics +8

The Variational Approach to Fracture

Blaise Bourdin, Gilles A. Francfort, Jean‐Jacques Marigo · Journal of Elasticity · 2008 · 1.7K citations · Full text

Engineering, Mechanics, Mechanical Engineering +6

An augmented-Lagrangian method for the phase-field approach for pressurized fractures

Mary F. Wheeler, Thomas Wick, Winnifried Wollner · Computer Methods in Applied Mechanics and Engineering · 2013 · 287 citations

Engineering, Mechanics, Mechanical Engineering +9

Minimization principles for the coupled problem of Darcy–Biot-type fluid transport in porous media linked to phase field modeling of fracture

Christian Miehé, Steffen Mauthe, Stephan Teichtmeister · Journal of the Mechanics and Physics of Solids · 2015 · 252 citations

Engineering, Fluid Properties, Porous Medium Equations +13