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Author ID: borden.michael-j Recent zbMATH articles by "Borden, Michael J."
Published as: Borden, Michael J.; Borden, Micheal J.; Borden, Michael; Borden, M. J.
External Links: ORCID
Documents Indexed: 19 Publications since 2008, including 1 Additional arXiv Preprint
Co-Authors: 26 Co-Authors with 19 Joint Publications
694 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

17 Publications have been cited 1,592 times in 1,056 Documents Cited by Year
A phase-field description of dynamic brittle fracture. Zbl 1253.74089
Borden, Michael J.; Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; Landis, Chad M.
431
2012
An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055
Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R.
244
2012
Isogeometric finite element data structures based on Bézier extraction of NURBS. Zbl 1242.74097
Borden, Michael J.; Scott, Michael A.; Evans, John A.; Hughes, Thomas J. R.
194
2011
A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework. Zbl 1296.74098
Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Verhoosel, Clemens V.
169
2014
Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243
Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R.
156
2011
A phase-field formulation for fracture in ductile materials: finite deformation balance law derivation, plastic degradation, and stress triaxiality effects. Zbl 1439.74343
Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J.
123
2016
Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224
Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R.
99
2012
Isogeometric analysis of the advective Cahn-Hilliard equation: spinodal decomposition under shear flow. Zbl 1311.76069
Liu, Ju; Dedè, Luca; Evans, John A.; Borden, Micheal J.; Hughes, Thomas J. R.
65
2013
Isogeometric collocation for phase-field fracture models. Zbl 1423.74848
Schillinger, Dominik; Borden, Michael J.; Stolarski, Henryk K.
32
2015
Isogeometric Bézier dual mortaring: refineable higher-order spline dual bases and weakly continuous geometry. Zbl 1440.65240
Zou, Z.; Scott, M. A.; Borden, M. J.; Thomas, D. C.; Dornisch, W.; Brivadis, E.
23
2018
A phase-field model for fatigue crack growth. Zbl 1480.74019
Lo, Yu-Sheng; Borden, Michael J.; Ravi-Chandar, K.; Landis, Chad M.
20
2019
Isogeometric Bézier dual mortaring: the enriched Bézier dual basis with application to second- and fourth-order problems. Zbl 1436.65187
Miao, Di; Zou, Zhihui; Scott, Michael A.; Borden, Michael J.; Thomas, Derek C.
11
2020
Bézier \(\bar{B}\) projection. Zbl 1440.65222
Miao, Di; Borden, Michael J.; Scott, Michael A.; Thomas, Derek C.
8
2018
Methods and applications of generalized sheet insertion for hexahedral meshing. Zbl 1134.65321
Merkley, Karl; Ernst, Corey; Shepherd, Jason F.; Borden, Michael J.
6
2008
A selective approach to conformal refinement of unstructured hexahedral finite element meshes. Zbl 1134.65324
Parrish, Michael; Borden, Michael; Staten, Matthew; Benzley, Steven
5
2008
Isogeometric Bézier dual mortaring: the Kirchhoff-Love shell problem. Zbl 1506.74190
Miao, Di; Zou, Zhihui; Scott, Michael A.; Borden, Michael J.; Thomas, Derek C.
4
2021
Phase-field formulation for ductile fracture. Zbl 1493.74007
Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J.
2
2018
Isogeometric Bézier dual mortaring: the Kirchhoff-Love shell problem. Zbl 1506.74190
Miao, Di; Zou, Zhihui; Scott, Michael A.; Borden, Michael J.; Thomas, Derek C.
4
2021
Isogeometric Bézier dual mortaring: the enriched Bézier dual basis with application to second- and fourth-order problems. Zbl 1436.65187
Miao, Di; Zou, Zhihui; Scott, Michael A.; Borden, Michael J.; Thomas, Derek C.
11
2020
A phase-field model for fatigue crack growth. Zbl 1480.74019
Lo, Yu-Sheng; Borden, Michael J.; Ravi-Chandar, K.; Landis, Chad M.
20
2019
Isogeometric Bézier dual mortaring: refineable higher-order spline dual bases and weakly continuous geometry. Zbl 1440.65240
Zou, Z.; Scott, M. A.; Borden, M. J.; Thomas, D. C.; Dornisch, W.; Brivadis, E.
23
2018
Bézier \(\bar{B}\) projection. Zbl 1440.65222
Miao, Di; Borden, Michael J.; Scott, Michael A.; Thomas, Derek C.
8
2018
Phase-field formulation for ductile fracture. Zbl 1493.74007
Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J.
2
2018
A phase-field formulation for fracture in ductile materials: finite deformation balance law derivation, plastic degradation, and stress triaxiality effects. Zbl 1439.74343
Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J.
123
2016
Isogeometric collocation for phase-field fracture models. Zbl 1423.74848
Schillinger, Dominik; Borden, Michael J.; Stolarski, Henryk K.
32
2015
A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework. Zbl 1296.74098
Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Verhoosel, Clemens V.
169
2014
Isogeometric analysis of the advective Cahn-Hilliard equation: spinodal decomposition under shear flow. Zbl 1311.76069
Liu, Ju; Dedè, Luca; Evans, John A.; Borden, Micheal J.; Hughes, Thomas J. R.
65
2013
A phase-field description of dynamic brittle fracture. Zbl 1253.74089
Borden, Michael J.; Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; Landis, Chad M.
431
2012
An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055
Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R.
244
2012
Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224
Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R.
99
2012
Isogeometric finite element data structures based on Bézier extraction of NURBS. Zbl 1242.74097
Borden, Michael J.; Scott, Michael A.; Evans, John A.; Hughes, Thomas J. R.
194
2011
Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243
Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R.
156
2011
Methods and applications of generalized sheet insertion for hexahedral meshing. Zbl 1134.65321
Merkley, Karl; Ernst, Corey; Shepherd, Jason F.; Borden, Michael J.
6
2008
A selective approach to conformal refinement of unstructured hexahedral finite element meshes. Zbl 1134.65324
Parrish, Michael; Borden, Michael; Staten, Matthew; Benzley, Steven
5
2008
all top 5

Cited by 1,747 Authors

54 Hughes, Thomas J. R.
35 Rabczuk, Timon
31 Schillinger, Dominik
27 Scott, Michael A.
25 de Lorenzis, Laura
24 Reali, Alessandro
23 de Borst, René
23 Wick, Thomas
22 Zhang, Yongjie Jessica
21 Evans, John A.
21 Verhoosel, Clemens V.
19 Sauer, Roger A.
19 Zhuang, Xiaoying
18 Rank, Ernst
17 Gómez, Héctor J.
16 Kollmannsberger, Stefan
15 Aldakheel, Fadi
15 Bazilevs, Yuri
15 Hesch, Christian
15 Jüttler, Bert
14 Buffa, Annalisa
14 Hsu, Ming-Chen
14 Weinberg, Kerstin
14 Wriggers, Peter
13 Dede’, Luca
13 Sun, WaiChing
13 Toshniwal, Deepesh
12 Borden, Michael J.
12 Nguyen-Thanh, Nhon
12 Van Brummelen, Harald
12 Vazquez, Rafael
11 Ambati, Marreddy
11 Bui, Tinh Quoc
11 Kapl, Mario
11 Kiendl, Josef
11 Sangalli, Giancarlo
11 Waisman, Haim
11 Wei, Xiaodong
10 Anitescu, Cosmin
10 Auricchio, Ferdinando
10 Casquero, Hugo
10 Dittmann, M.
10 Hiemstra, René R.
10 Kamensky, David
10 Kästner, Markus
10 Landis, Chad M.
10 Li, Xin
10 Natarajan, Sundararajan
10 Wheeler, Mary Fanett
9 Bordas, Stéphane Pierre Alain
9 Duong, Thang X.
9 Quarteroni, Alfio M.
9 Ruess, Martin
9 Thomas, Derek C.
9 Zhou, Kun
8 Calo, Victor Manuel
8 Hu, Ping
8 Mantzaflaris, Angelos
8 Miehe, Christian
7 Antolin, Pablo
7 Bilgen, Carola
7 Bletzinger, Kai-Uwe
7 Bouclier, Robin
7 Dolbow, John E.
7 Gerasimov, Tymofiy
7 Li, Weidong
7 Nguyen, Vinh Phu
7 Takacs, Thomas
7 Trevelyan, Jon
7 Wüchner, Roland
7 Yu, Tiantang
7 Zhu, Xuefeng
6 Cirak, Fehmi
6 Giannelli, Carlotta
6 Guo, Xu
6 Hageman, Tim
6 Hennig, Paul
6 Hirshikesh, H.
6 Kaliske, Michael
6 Li, Yibao
6 Linder, Christian
6 Liu, Lei
6 Martínez Pañeda, Emilio
6 Paggi, Marco
6 Perotto, Simona
6 Reinoso, Jose
6 Remmers, Joris J. C.
6 Speleers, Hendrik
6 Vitrih, Vito
6 Wang, Changsheng
6 Zhang, Xiangkui
6 Zou, Zhihui
5 Benson, David J.
5 Deng, Jiansong
5 Desmet, Wim
5 Duczek, Sascha
5 Düster, Alexander
5 Gao, Liang
5 Hu, Tianchen
5 Kvamsdal, Trond
...and 1,647 more Authors
all top 5

Cited in 78 Serials

567 Computer Methods in Applied Mechanics and Engineering
93 Computational Mechanics
57 International Journal for Numerical Methods in Engineering
37 Journal of Computational Physics
31 Computers & Mathematics with Applications
19 European Journal of Mechanics. A. Solids
15 Engineering Analysis with Boundary Elements
13 Journal of Computational and Applied Mathematics
13 Computer Aided Geometric Design
13 Applied Mathematical Modelling
9 Meccanica
8 Computers and Fluids
8 Journal of the Mechanics and Physics of Solids
8 GAMM-Mitteilungen
7 Acta Mechanica
7 Applied Mathematics and Computation
7 Archives of Computational Methods in Engineering
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Continuum Mechanics and Thermodynamics
5 Mathematics and Mechanics of Solids
5 International Journal of Computational Methods
4 Mathematics and Computers in Simulation
4 Numerische Mathematik
4 Journal of Elasticity
4 SIAM Journal on Scientific Computing
4 Computational Geosciences
3 International Journal of Engineering Science
3 Applied Numerical Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Computer Physics Communications
2 Applied Mathematics and Optimization
2 SIAM Journal on Control and Optimization
2 SIAM Journal on Numerical Analysis
2 Journal of Scientific Computing
2 Computational and Applied Mathematics
2 NoDEA. Nonlinear Differential Equations and Applications
2 Advances in Computational Mathematics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Systems Science and Complexity
2 Multiscale Modeling & Simulation
2 Discrete and Continuous Dynamical Systems. Series S
2 GEM - International Journal on Geomathematics
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 SMAI Journal of Computational Mathematics
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Journal of Geometry and Physics
1 Chinese Annals of Mathematics. Series B
1 Physica D
1 ACM Transactions on Graphics
1 Numerical Methods for Partial Differential Equations
1 Numerical Algorithms
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Applied Mathematics
1 Journal of Nonlinear Science
1 Discrete and Continuous Dynamical Systems
1 International Journal of Computational Fluid Dynamics
1 Multibody System Dynamics
1 Chaos
1 Journal of Mathematical Fluid Mechanics
1 Optimization and Engineering
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Analysis and Applications (Singapore)
1 Acta Numerica
1 International Journal of Numerical Analysis and Modeling
1 Acta Mechanica Sinica
1 Communications in Computational Physics
1 Advances in Calculus of Variations
1 Advances in Numerical Analysis
1 Advances in Applied Mathematics and Mechanics
1 Science China. Mathematics
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 Journal of Mathematics in Industry
1 Advances in Nonlinear Analysis
1 East Asian Journal on Applied Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Computational and Theoretical Transport

Citations by Year