Multiphysics Phase-Field Fracture
eBook - PDF

Multiphysics Phase-Field Fracture

Modeling, Adaptive Discretizations, and Solvers

Thomas Wick

  1. 358 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Multiphysics Phase-Field Fracture

Modeling, Adaptive Discretizations, and Solvers

Thomas Wick

Book details
Table of contents
Citations

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.

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Information

Publisher
De Gruyter
Year
2020
ISBN
9783110497397
Edition
1
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Preface and personal acknowledgments
  2. Classes and schools related to this monograph
  3. Research funding acknowledgments
  4. Own related work
  5. Contents
  6. 1 Introduction
  7. 2 Notation, prerequisites, and prototype model problems
  8. 3 Classifications of partial differential equations and variational inequalities
  9. 4 Modeling of variational phase-field fractures
  10. 5 Numerical modeling part I: regularization and discretization
  11. 6 Simulations I: a phase-field slit domain
  12. 7 Numerical modeling part II: linearizations, nonlinear solvers, and linear solution
  13. 8 Simulations II: single edge notched shear test
  14. 9 Numerical modeling part III: adaptive concepts
  15. 10 Simulations III: goal-oriented error control for a phase-field slit and time control for a screw
  16. 11 Multiphysics extensions involving fracture
  17. 12 Simulations IV
  18. 13 Research software development
  19. 14 Conclusions and future interest
  20. 15 The end
  21. Bibliography
  22. Index
Citation styles for Multiphysics Phase-Field Fracture

APA 6 Citation

Wick, T. (2020). Multiphysics Phase-Field Fracture (1st ed.). De Gruyter. Retrieved from https://www.perlego.com/book/2107904/multiphysics-phasefield-fracture-modeling-adaptive-discretizations-and-solvers-pdf (Original work published 2020)

Chicago Citation

Wick, Thomas. (2020) 2020. Multiphysics Phase-Field Fracture. 1st ed. De Gruyter. https://www.perlego.com/book/2107904/multiphysics-phasefield-fracture-modeling-adaptive-discretizations-and-solvers-pdf.

Harvard Citation

Wick, T. (2020) Multiphysics Phase-Field Fracture. 1st edn. De Gruyter. Available at: https://www.perlego.com/book/2107904/multiphysics-phasefield-fracture-modeling-adaptive-discretizations-and-solvers-pdf (Accessed: 15 October 2022).

MLA 7 Citation

Wick, Thomas. Multiphysics Phase-Field Fracture. 1st ed. De Gruyter, 2020. Web. 15 Oct. 2022.