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mef90 / vDef: A reference implementation of the variational approach to fracture, as described in:

  • Francfort, G. and Marigo, J.-J. (1998). Revisiting brittle fracture as an energy minimization problem. J. Mech. Phys. Solids., 46(8):1319–1342. DOI:10.1016/S0022-5096(98)00034-9
  • Bourdin, B., Francfort, G., and Marigo, J.-J. (2000). Numerical experiments in revisited brittle fracture. J. Mech. Phys. Solids, 48(4):797–826. DOI:10.1016/S0022-5096(99)00028-9
  • Bourdin, B., Francfort, G., and Marigo, J.-J. (2008). The variational approach to fracture. J. Elasticity, 91(1-3):1–148. DOI:10.1007/s10659-007-9107-3
  • Bourdin, B. (2007). Numerical implementation of a variational formulation of quasi-static brittle fracture. Interfaces Free Bound., 9:411–430. DOI:10.4171/IFB/171

This software is free software, distributed under the 2-clause BSD license. A copy of the license is included in the LICENSE file. We cordially ask that any published work derived from this code, or utilizing it references the software as DOI, and the above-mentioned published works:


@software{mef90,
	author = {Bourdin, B.},
	title = {{mef90/vDef}: variational models of defect mechanics},
	url = {https://github.com/bourdin/mef90},
	year = {2019},
	doi = {10.5281/zenodo.3242131}}

@article{Bourdin-Francfort-EtAl-2000a,
	Author = {Bourdin, B. and Francfort, G.A. and Marigo, J.-J.},
	Journal = {J. Mech. Phys. Solids},
	Number = {4},
	Pages = {797--826},
	Title = {Numerical experiments in revisited brittle fracture},
	Volume = {48},
	Year = {2000},
	DOI = {10.1016/S0022-5096(99)00028-9}}

@article{Bourdin-2007a,
	Author = {Bourdin, B.},
	Journal = {Interfaces Free Bound.},
	Month = {08},
	Pages = {411--430},
	Title = {Numerical implementation of a variational formulation of quasi-static brittle fracture},
	Volume = {9},
	Year = {2007},
	DOI = {10.4171/IFB/171}}

@article{Bourdin-Francfort-EtAl-2008b,
	Author = {Bourdin, B. and Francfort, G.A. and Marigo, J.-J.},
	Journal = {J. Elasticity},
	Number = {1-3},
	Pages = {1--148},
	Title = {The Variational Approach to Fracture},
	Volume = {91},
	Year = {2008},
	DOI = {10.1007/s10659-007-9107-3}}

@article{Francfort-Marigo-1998,
	Author = {Francfort, G.A. and Marigo, J.-J.},
	Journal = {J. Mech. Phys. Solids.},
	Number = 8,
	Pages = {1319--1342},
	Title = {Revisiting brittle fracture as an energy minimization problem},
	Volume = 46,
	Year = 1998,
	DOI = {10.1016/S0022-5096(98)00034-9}}