Multiphysics Phase-Field Fracture
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.
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Content
- Intro
- 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
