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

Thomas Wick

Published by De Gruyter 2020

Multiphysics Phase-Field Fracture

Modeling, Adaptive Discretizations, and Solvers

Thomas Wick

Volume 28 in the series Radon Series on Computational and Applied Mathematics

https://doi.org/10.1515/9783110497397

Overview
Contents

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

Thomas Wick, Leibniz Universität Hannover, Germany.

Topics

Frontmatter Publicly Available Download PDF	I
Preface and personal acknowledgments Publicly Available Download PDF	VII
Classes and schools related to this monograph Publicly Available Download PDF	XI
Research funding acknowledgments Publicly Available Download PDF	XIII
Own related work Publicly Available Download PDF	XV
Contents Publicly Available Download PDF	XVII
1 Introduction Requires Authentication Unlicensed Licensed Download PDF	1
2 Notation, prerequisites, and prototype model problems Requires Authentication Unlicensed Licensed Download PDF	15
3 Classifications of partial differential equations and variational inequalities Requires Authentication Unlicensed Licensed Download PDF	35
4 Modeling of variational phase-field fractures Requires Authentication Unlicensed Licensed Download PDF	59
5 Numerical modeling part I: regularization and discretization Requires Authentication Unlicensed Licensed Download PDF	83
6 Simulations I: a phase-field slit domain Requires Authentication Unlicensed Licensed Download PDF	119
7 Numerical modeling part II: linearizations, nonlinear solvers, and linear solution Requires Authentication Unlicensed Licensed Download PDF	131
8 Simulations II: single edge notched shear test Requires Authentication Unlicensed Licensed Download PDF	169
9 Numerical modeling part III: adaptive concepts Requires Authentication Unlicensed Licensed Download PDF	177
10 Simulations III: goal-oriented error control for a phase-field slit and time control for a screw Requires Authentication Unlicensed Licensed Download PDF	215
11 Multiphysics extensions involving fracture Requires Authentication Unlicensed Licensed Download PDF	227
12 Simulations IV Requires Authentication Unlicensed Licensed Download PDF	283
13 Research software development Requires Authentication Unlicensed Licensed Download PDF	295
14 Conclusions and future interest Requires Authentication Unlicensed Licensed Download PDF	299
15 The end Requires Authentication Unlicensed Licensed Download PDF	301
Bibliography Requires Authentication Unlicensed Licensed Download PDF	303
Index Requires Authentication Unlicensed Licensed Download PDF	327

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Students and Researchers in Mathematics, Physics, Engineering and Materials Science.
Pages
- Front matter: 24
- Main content: 334
Illustrations
- Illustrations: 12
- Coloured Illustrations: 69
- Tables: 30
Keywords: Multiphysics; Bruchmechanik; Computersimulation; Finite-Elemente-Methode

eBook

Published: October 12, 2020
ISBN: 9783110497397

Hardcover

Published: October 12, 2020
ISBN: 9783110496567