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Isogeometric analysis for phase-field methods in computational solid mechanics
In this presentation, we will describe recent developments in the application of isogeometric analysis to phase-field methods for computational solid mechanics. One example we will focus on is the use of phase-field methods to describe dynamic fracture of brittle and ductile materials. We will describe our work to achieve higher-order convergence rates and improved accuracy. This includes introducing a potential with higher-order derivatives of the phase-field, thereby increasing solution regularity. We then take advantage of the smoothness offered by isogeometric analysis basis functions to satisfy the continuity requirements of the resulting differential equations. We will present several numerical examples for both two- and three-dimensional problems with comparisons to experimental results. These examples will demonstrate the ability of phase-field models to accurately capture complex crack propagation patterns.Author(s):
Michael Borden
North Carolina State University
United States
Eric Domonell
North Carolina State University
United States