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 |
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| 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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| 100 | 1 | |a Wick, Thomas, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Multiphysics Phase-Field Fracture : |b Modeling, Adaptive Discretizations, and Solvers / |c Thomas Wick. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2020] | |
| 264 | 4 | |c ©2020 | |
| 300 | |a 1 online resource (XXIV, 334 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 490 | 0 | |a Radon Series on Computational and Applied Mathematics , |x 1865-3707 ; |v 28 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Preface and personal acknowledgments -- |t Classes and schools related to this monograph -- |t Research funding acknowledgments -- |t Own related work -- |t Contents -- |t 1 Introduction -- |t 2 Notation, prerequisites, and prototype model problems -- |t 3 Classifications of partial differential equations and variational inequalities -- |t 4 Modeling of variational phase-field fractures -- |t 5 Numerical modeling part I: regularization and discretization -- |t 6 Simulations I: a phase-field slit domain -- |t 7 Numerical modeling part II: linearizations, nonlinear solvers, and linear solution -- |t 8 Simulations II: single edge notched shear test -- |t 9 Numerical modeling part III: adaptive concepts -- |t 10 Simulations III: goal-oriented error control for a phase-field slit and time control for a screw -- |t 11 Multiphysics extensions involving fracture -- |t 12 Simulations IV -- |t 13 Research software development -- |t 14 Conclusions and future interest -- |t 15 The end -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
| 650 | 4 | |a Bruchmechanik. | |
| 650 | 4 | |a Computersimulation. | |
| 650 | 4 | |a Finite-Elemente-Methode. | |
| 650 | 4 | |a Multiphysics. | |
| 650 | 7 | |a MATHEMATICS / Applied. |2 bisacsh | |
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