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

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 · 10.6K citations · Full text

Engineering, Materials Engineering, Materials Science +13

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 · 6.2K citations · Full text

Engineering, Computational Engineering, Mechanical Engineering +17

Optimal approximations by piecewise smooth functions and associated variational problems

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

Natural Sciences, Computational Engineering, Computational Mechanics +13

Elastic crack growth in finite elements with minimal remeshing

Ted Belytschko, T. Howard Black · International Journal for Numerical Methods in Engineering · 1999 · 4.7K citations

Engineering, Computational Engineering, Mechanical Engineering +17

Revisiting brittle fracture as an energy minimization problem

Gilles A. Francfort, Jean‐Jacques Marigo · Journal of the Mechanics and Physics of Solids · 1998 · 3.4K citations

Engineering, Materials Engineering, Materials Science +13