Inserted: 16 jan 2004
Last Updated: 18 dec 2006
Journal: Calculus of Variations. Topics from the Mathematical Heritage of Ennio De Giorgi. Quaderni di Matematica, Dipartimento di Matematica della Seconda Università di Napoli, Vol. 14
The main steps of the proof of the existence result for the quasi-static evolution of cracks in brittle materials, obtained in 7 in the vector case and for a general quasiconvex elastic energy, are presented here under the simplifying assumption that the minimizing sequences involved in the problem are uniformly bounded in $ L^\infty$.