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This article proposes an open-source implementation of a phase-field modelfor brittle fracture using a recently developed finite element toolbox, Gridapin Julia. The present work exploits the advantages of both the phase-fieldmodel and Gridap toolbox for simulating fracture in brittle materials. On onehand, the use of the phase-field model, which is a continuum approach and usesa diffuse representation of sharp cracks, enables the proposed implementationto overcome such well-known drawbacks of the discrete approach for predictingcomplex crack paths as the need for re-meshing, enrichment of finite elementshape functions and an explicit tracking of the crack surfaces. On the otherhand, the use of Gridap makes the proposed implementation very compact anduser-friendly that requires low memory usage, and provides a high degree offlexibility to the users in defining weak forms of partial differentialequations. A test on a notched beam under symmetric three-point bending and aset of tests on a notched beam with three holes under asymmetric three-pointbending is considered to demonstrate how the proposed Gridap based phase-fieldJulia code can be used to simulate fracture in brittle materials.

An open-source implementation of a phase-field model for brittle fracture using Gridap in Julia