Multiphysics Phase-Field Fracture : : Modeling, Adaptive Discretizations, and Solvers / / Thomas Wick.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2020
• VerfasserIn: Wick, Thomas,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2020]; ©2020
• Year of Publication: 2020
• Language: English
• Series: Radon Series on Computational and Applied Mathematics , 28
• Physical Description: 1 online resource (XXIV, 334 p.)
• Other title: Frontmatter --; Preface and personal acknowledgments --; Classes and schools related to this monograph --; Research funding acknowledgments --; Own related work --; Contents --; 1 Introduction --; 2 Notation, prerequisites, and prototype model problems --; 3 Classifications of partial differential equations and variational inequalities --; 4 Modeling of variational phase-field fractures --; 5 Numerical modeling part I: regularization and discretization --; 6 Simulations I: a phase-field slit domain --; 7 Numerical modeling part II: linearizations, nonlinear solvers, and linear solution --; 8 Simulations II: single edge notched shear test --; 9 Numerical modeling part III: adaptive concepts --; 10 Simulations III: goal-oriented error control for a phase-field slit and time control for a screw --; 11 Multiphysics extensions involving fracture --; 12 Simulations IV --; 13 Research software development --; 14 Conclusions and future interest --; 15 The end --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110497397; 9783110696288; 9783110696271; 9783110659061; 9783110616859; 9783110704716; 9783110704518; 9783110704846; 9783110704662; 9783110647174
• ISSN: 1865-3707
• DOI: 10.1515/9783110497397
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Thomas Wick.

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.