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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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
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Physical Description:1 online resource (XXIV, 334 p.)
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(OCoLC)1202472613
collection bib_alma
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spelling Wick, Thomas, author. aut http://id.loc.gov/vocabulary/relators/aut
Multiphysics Phase-Field Fracture : Modeling, Adaptive Discretizations, and Solvers / Thomas Wick.
Berlin ; Boston : De Gruyter, [2020]
©2020
1 online resource (XXIV, 334 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Radon Series on Computational and Applied Mathematics , 1865-3707 ; 28
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
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
Bruchmechanik.
Computersimulation.
Finite-Elemente-Methode.
Multiphysics.
MATHEMATICS / Applied. bisacsh
Title is part of eBook package: De Gruyter DG Ebook Package English 2020 9783110696288
Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1 9783110696271
Title is part of eBook package: De Gruyter De Gruyter English eBooks 2020 - UC 9783110659061
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English 9783110616859
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English 9783110704716
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 9783110704518 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 English 9783110704846
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 9783110704662 ZDB-23-DMA
Title is part of eBook package: De Gruyter Radon Series on Applied Mathematics eBook-Package 9783110647174
EPUB 9783110494198
print 9783110496567
https://doi.org/10.1515/9783110497397
https://www.degruyter.com/isbn/9783110497397
Cover https://www.degruyter.com/document/cover/isbn/9783110497397/original
language English
format eBook
author Wick, Thomas,
Wick, Thomas,
spellingShingle Wick, Thomas,
Wick, Thomas,
Multiphysics Phase-Field Fracture : Modeling, Adaptive Discretizations, and Solvers /
Radon Series on Computational and Applied Mathematics ,
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
author_facet Wick, Thomas,
Wick, Thomas,
author_variant t w tw
t w tw
author_role VerfasserIn
VerfasserIn
author_sort Wick, Thomas,
title Multiphysics Phase-Field Fracture : Modeling, Adaptive Discretizations, and Solvers /
title_sub Modeling, Adaptive Discretizations, and Solvers /
title_full Multiphysics Phase-Field Fracture : Modeling, Adaptive Discretizations, and Solvers / Thomas Wick.
title_fullStr Multiphysics Phase-Field Fracture : Modeling, Adaptive Discretizations, and Solvers / Thomas Wick.
title_full_unstemmed Multiphysics Phase-Field Fracture : Modeling, Adaptive Discretizations, and Solvers / Thomas Wick.
title_auth Multiphysics Phase-Field Fracture : Modeling, Adaptive Discretizations, and Solvers /
title_alt 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
title_new Multiphysics Phase-Field Fracture :
title_sort multiphysics phase-field fracture : modeling, adaptive discretizations, and solvers /
series Radon Series on Computational and Applied Mathematics ,
series2 Radon Series on Computational and Applied Mathematics ,
publisher De Gruyter,
publishDate 2020
physical 1 online resource (XXIV, 334 p.)
Issued also in print.
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
isbn 9783110497397
9783110696288
9783110696271
9783110659061
9783110616859
9783110704716
9783110704518
9783110704846
9783110704662
9783110647174
9783110494198
9783110496567
issn 1865-3707 ;
url https://doi.org/10.1515/9783110497397
https://www.degruyter.com/isbn/9783110497397
https://www.degruyter.com/document/cover/isbn/9783110497397/original
illustrated Not Illustrated
doi_str_mv 10.1515/9783110497397
oclc_num 1202472613
work_keys_str_mv AT wickthomas multiphysicsphasefieldfracturemodelingadaptivediscretizationsandsolvers
status_str n
ids_txt_mv (DE-B1597)470071
(OCoLC)1202472613
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Ebook Package English 2020
Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1
Title is part of eBook package: De Gruyter De Gruyter English eBooks 2020 - UC
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020
Title is part of eBook package: De Gruyter Radon Series on Applied Mathematics eBook-Package
is_hierarchy_title Multiphysics Phase-Field Fracture : Modeling, Adaptive Discretizations, and Solvers /
container_title Title is part of eBook package: De Gruyter DG Ebook Package English 2020
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