Multiphysics phase-field fracture : modeling, adaptive discretizations, and solvers / Thomas Wick.

Format:

Book

Author/Creator:

Wick, Thomas, author.

Series:

Radon series on computational and applied mathematics ; Volume 28.

Radon series on computational and applied mathematics ; Volume 28

Language:

English

Subjects (All):

Fracture mechanics--Mathematical models.

Fracture mechanics.

Physical Description:

1 online resource (XXIV, 334 p.)

Place of Publication:

Berlin ; Boston : De Gruyter, [2020]

Language Note:

In English.

Summary:

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.

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

Notes:

Description based on print version record.

ISBN:

9783110497397

3110497395

9783110494198

3110494191

OCLC:

1202472613