Opening-dependent phase field model of hydraulic fracture evolution in porous medium under seepage-stress coupling

Revisiting brittle fracture as an energy minimization problem

Gilles A. Francfort, Jean‐Jacques Marigo · Journal of the Mechanics and Physics of Solids · 1998 · 3.2K citations

Brittle Fracture, Engineering, Mechanics +8

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

Christian Miehé, Martina Hofacker, Fabian Welschinger · Computer Methods in Applied Mechanics and Engineering · 2010 · 2.7K citations

Numerical Analysis, Phase Field Model, Damage Mechanism +12

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

Numerical experiments in revisited brittle fracture

Blaise Bourdin, Gilles A. Francfort, Jean‐Jacques Marigo · Journal of the Mechanics and Physics of Solids · 2000 · 2.5K citations

Engineering, Mechanics, Mechanical Engineering +7

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