Concepedia

A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure

Tuyet Thi Anh Nguyen, Julien Yvonnet, Qizhi Zhu, Michel Bornert, Camille Chateau

Engineering Fracture Mechanics · 2015 · 280 citations · 51 references

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References

51

VI. The phenomena of rupture and flow in solids

Alan Arnold Griffith · Philosophical Transactions of the Royal Society of London Series A Containing Papers of a Mathematical or Physical Character · 1921 · 10.5K citations · Full text

A finite element method for crack growth without remeshing

Nicolas Mo�s, John E. Dolbow, Ted Belytschko · International Journal for Numerical Methods in Engineering · 1999 · 6.1K citations · Full text

, , +15

Optimal approximations by piecewise smooth functions and associated variational problems

David Mumford, Jayant Shah · Communications on Pure and Applied Mathematics · 1989 · 5.2K citations

, , +8

Elastic crack growth in finite elements with minimal remeshing

Ted Belytschko, T. Howard Black · International Journal for Numerical Methods in Engineering · 1999 · 4.6K citations

, , +17

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

, , +8