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Multiphysics Phase-Field Fracture: Modeling, Adaptive Discretizations, and Solvers

Multiphysics Phase-Field Fracture: Modeling, Adaptive Discretizations, and Solvers

Hardcover

Series: Radon Computational and Applied Mathematics, Book 28

Technology & EngineeringGeneral Mathematics

ISBN10: 3110496569
ISBN13: 9783110496567
Publisher: de Gruyter
Published: Oct 12 2020
Pages: 358
Weight: 1.65
Height: 1.00 Width: 6.70 Depth: 9.60
Language: English

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.

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