82 citations · 195 across the 6 of their papers we have counts for
6 papers
A -conforming arbitrary-order two-dimensional virtual element method for the fourth-order phase-field equation
Dibyendu Adak, Gianmarco Manzini, Hashem M. Mourad +2
We present a two-dimensional conforming virtual element method for the fourth-order phase-field equation. Our proposed numerical approach to the solution of this high-order phase-f…
A fourth-order phase-field fracture model: Formulation and numerical solution using a continuous/discontinuous Galerkin method
Lampros Svolos, Hashem M. Mourad, Gianmarco Manzini +1
Modeling crack initiation and propagation in brittle materials is of great importance to be able to predict sudden loss of load-carrying capacity and prevent catastrophic failure u…
The virtual element method for linear elastodynamics models. Convergence, stability and dissipation-dispersion analysis
P. F. Antonietti, G. Manzini, I. Mazzieri +2
We design the conforming virtual element method for the numerical approximation of the two dimensional elastodynamics problem. We prove stability and convergence of the semi-discre…
Strain localization and dynamic recrystallization in polycrystalline metals: thermodynamic theory and simulation framework
Charles K. C. Lieou, Hashem M. Mourad, Curt A. Bronkhorst
We describe a theoretical and computational framework for adiabatic shear banding (ASB) and dynamic recrystallization (DRX) in polycrystalline materials. The Langer-Bouchbinder-Loo…
Anomalous Plasticity of Body-Centered-Cubic Crystals with Non-Schmid Effect
Hansohl Cho, Curt A. Bronkhorst, Hashem M. Mourad +2
Plastic deformations in body-centered-cubic (BCC) crystals have been of critical importance in diverse engineering and manufacturing contexts across length scales. Numerous experim…
Advances in the numerical treatment of grain-boundary migration: Coupling with mass transport and mechanics
Hashem M. Mourad, Krishna Garikipati
This work is based upon a coupled, lattice-based continuum formulation that was previously applied to problems involving strong coupling between mechanics and mass transport; e.g.…