A 3D Cohesive Investigation on Branching for Brittle Materials
Recently, Fineberg and Sharon conducted dynamic crack propagation experiments in PMMA and soda lime glass [1, 2, 3, 4, 5, 6, 7]. They pointed out some notable features of micro-branching instabilities in brittle materials, and their experiments raised a considerable interest for the brittle fracture dynamics. In this paper we present some numerical results on brittle fracture obtained by using cohesive theories of fracture. In the numerical calculations, the branching instability is a natural outcome of the explicit formulation. The cohesive model captures the basic features of experiments, such as the transition of the crack surface from smooth to hackled with increasing energy flux, and the power-law functional form of the profile of the crack branches.
© Springer 2007. AP acknowledges the support of the Italian MIUR PRIN-2005 programme, Protocol no. 2005085973. RCY thanks the Spanish Ministerio de Educación y Ciencia for the funding through the Programa Ramón y Cajal.