The Variational Approach to Fracture

Yielding of steel sheets containing slits

D.S. Dugdale · Journal of the Mechanics and Physics of Solids · 1960 · 7.5K citations

Steel Sheets, Engineering, Mechanics +6

Optimal approximations by piecewise smooth functions and associated variational problems

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

Mathematical Programming, Numerical Analysis, Engineering +8

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

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

Approximation of functional depending on jumps by elliptic functional via t‐convergence

Luigi Ambrosio, Vincenzo Maria Tortorelli · Communications on Pure and Applied Mathematics · 1990 · 1.4K citations

Numerical Analysis, Image Analysis, Engineering +13