Inserted: 8 jun 2009
Last Updated: 5 nov 2010
Journal: Asymptotic Analysis
A two dimensional model which describes the evolution of a crack in a plate is deduced from a three dimensional linearly elastic Griffith's type model. The result is achieved by adopting the framework of energetic solutions for rate-independent processes, to model three dimensional fracture evolution, in conjunction with a variational dimension reduction procedure.
Keywords: dimension reduction, linear elasticity, rate-independent processes, crack evolution