AIMS Lab Seminar - Frederic Marazzato - Discontinuous Galerkin discretization for the variational phase-field approach to fracture

Description

Speaker: Frederic Marazzato (Louisiana State University)

Title:  Discontinuous Galerkin discretization for the variational phase-field approach to fracture

 
Abstract: Crack propagation in brittle materials was reformulated as an energy minimization problem in Francfort and Marigo [1998]. The variational phase-field approach Bourdin et al. [2000, 2008] follows the line of Ambrosio–Tortorelli smoothing to the Mumford–Shah functional Ambrosio and Tortorelli [1990], extended to the energy functional of Francfort and Marigo [1998]. The regularized functional is usually discretized with P^1–Lagrange Finite Elements because of the low regularity of the expected solution. In this presentation, we introduce a symmetric and a non-symmetric Discontinuous Galerkin discretization of the phase-field equations for fracture and compare them to the standard P^1–Lagrange discretization. The stability and robustness of this approach is illustrated on several numerical examples.


Date/Time: Monday January 31 2022, 11:30am - 12:20pm

Location: Virtual


Join Zoom Meeting
https://mcmaster.zoom.us/j/92578965537?pwd=dHJKS2sxSWJtTmtiSk5nVGdvUWxTQT09

Meeting ID: 925 7896 5537
Passcode: 844696
Go Back
McMaster University - Faculty of Science | Math & Stats