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

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

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Bibliographic Details
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
Online Access:
Physical Description:1 online resource (XXIV, 334 p.)
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Table of Contents:
  • 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

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