Multiphysics Phase-Field Fracture
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Thomas Wick
About this book
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.
Author / Editor information
Topics
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Frontmatter
I -
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Preface and personal acknowledgments
VII -
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Classes and schools related to this monograph
XI -
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Research funding acknowledgments
XIII -
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Own related work
XV -
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Contents
XVII -
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1 Introduction
1 -
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2 Notation, prerequisites, and prototype model problems
15 -
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3 Classifications of partial differential equations and variational inequalities
35 -
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4 Modeling of variational phase-field fractures
59 -
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5 Numerical modeling part I: regularization and discretization
83 -
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6 Simulations I: a phase-field slit domain
119 -
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7 Numerical modeling part II: linearizations, nonlinear solvers, and linear solution
131 -
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8 Simulations II: single edge notched shear test
169 -
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9 Numerical modeling part III: adaptive concepts
177 -
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10 Simulations III: goal-oriented error control for a phase-field slit and time control for a screw
215 -
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11 Multiphysics extensions involving fracture
227 -
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12 Simulations IV
283 -
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13 Research software development
295 -
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14 Conclusions and future interest
299 -
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15 The end
301 -
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Bibliography
303 -
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Index
327
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
