Arbitrary Order Virtual Element Methods for High-Order Phase-Field Modeling of Dynamic Fracture

Watch a technical presentation from the 2024 MFEM Workshop where Yu Leng from Los Alamos National Laboratory explores virtual element methods for modeling dynamic fracture in materials. Learn about the development of a virtual element framework for high-order phase-field modeling, which enables more accurate simulation of fracture nucleation and propagation in brittle and ductile materials under dynamic loading conditions. Discover how H1-conforming virtual elements, generalized-α time integration, and H2-conforming virtual elements are combined to create improved numerical solutions with higher spatial convergence rates. See verification results using quasi-static benchmark problems and demonstrations of dynamic fracture simulations in brittle materials. Gain insights into how the virtual element method (VEM) extends classical finite element methods by allowing computations on polytopal meshes, advancing the capabilities of phase-field fracture modeling for predicting material damage and failure under extreme conditions.