Elisa Budyn

TL;DR: In this paper, a finite element method for linear elastic fracture mechanics using enriched quadratic interpolations is presented, which is enriched with the asymptotic near tip displacement solutions and the Heaviside function so that the finite element approximation is capable of resolving the singular stress field at the crack tip as well as the jump in the displacement field across the crack face.

TL;DR: In this article, a method for modeling the growth of multiple cracks in linear elastic media is presented, which uses the extended finite element method for arbitrary discontinuities and does not require remeshing as the cracks grow; the method also treats the junction of cracks.

TL;DR: In this article, a new level set method is developed for describing surfaces that are frozen behind a moving front, such as cracks, which combines very naturally with the extended finite element method (XFEM) where the discontinuous enrichment for cracks is best described in terms of level set functions.

TL;DR: In this article, a numerical model to analyse the growth and the coalescence of cracks in a quasibrittle cell containing multiple cracks is presented, which is based on the extended finite element method in which discontinuous enrichment functions are added to the finite element approximation to take into account the presence of the cracks, so that it requires no remeshing.

TL;DR: In this article, a multiple scale approach for modeling multiple crack growth in human cortical bone under tension is presented, where cracks are initiated at the micro scale at locations where a critical elastic-damage strain-driven criterion is met.