RT Journal Article T1 On the dynamics of cracks in three dimensions A1 Oleaga Apadula, Gerardo Enrique AB We introduce a three-dimensional dynamic crack propagation law, which is derived from Hamilton's principle. The result is an extension of a previous one obtained, corresponding to the two-dimensional case. As a matter of fact, in an orthogonal plane to the crack front, the geometric condition to be satisfied over the path is the same as in two dimensions. The third mode enters only through the energy release rate. The fact that the physics of the problem is locally two dimensional is a consequence of the virtual motions allowed in the set of admissible crack configurations. PB Elsevier SN 0022-5096 YR 2003 FD 2003-01 LK https://hdl.handle.net/20.500.14352/50211 UL https://hdl.handle.net/20.500.14352/50211 LA eng DS Docta Complutense RD 9 abr 2025