Multiphysics Phase-Field Fracture Modeling, Adaptive Discretizations, and Solvers |
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Author:
| Wick, Thomas |
Series title: | Radon Series on Computational and Applied Mathematics Ser. |
ISBN: | 978-3-11-049739-7 |
Publication Date: | Jul 2020 |
Publisher: | Walter de Gruyter GmbH
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Book Format: | Ebook |
List Price: | USD $114.99 |
Book Description:
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This monograph is centered on mathematical modeling, innovative numerical algorithms and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art phase-field fracture models are complemented with prototype explanations and rigorous numerical analysis. These developments are embedded into a carefully designed balance between scientific computing aspects and numerical modeling of nonstationary coupled variational inequality systems. Therein, a focus is on...
More Description
This monograph is centered on mathematical modeling, innovative numerical algorithms and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art phase-field fracture models are complemented with prototype explanations and rigorous numerical analysis. These developments are embedded into a carefully designed balance between scientific computing aspects and numerical modeling of nonstationary coupled variational inequality systems. Therein, a focus is on nonlinear solvers, goal-oriented error estimation, predictor-corrector adaptivity, and interface conditions. Engineering applications show the potential for tackling practical problems within the fields of solid mechanics, porous media, and fluidstructure interaction.