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Borden, Michael J.

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Author ID: borden.michael-j Recent zbMATH articles by "Borden, Michael J."
Published as: Borden, Michael J.; Borden, Michael; Borden, M. J.
External Links: ORCID
Documents Indexed: 13 Publications since 2008

Publications by Year

Citations contained in zbMATH Open

12 Publications have been cited 811 times in 556 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.
227
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.
182
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.
147
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.
118
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.
92
2014
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.
17
2016
Isogeometric collocation for phase-field fracture models. Zbl 1423.74848
Schillinger, Dominik; Borden, Michael J.; Stolarski, Henryk K.
14
2015
Methods and applications of generalized sheet insertion for hexahedral meshing. Zbl 1134.65321
Merkley, Karl; Ernst, Corey; Shepherd, Jason F.; Borden, Michael J.
5
2008
A selective approach to conformal refinement of unstructured hexahedral finite element meshes. Zbl 1134.65324
Parrish, Michael; Borden, Michael; Staten, Matthew; Benzley, Steven
4
2008
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.
3
2018
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.
1
2020
Bézier \(\bar{B}\) projection. Zbl 1440.65222
Miao, Di; Borden, Michael J.; Scott, Michael A.; Thomas, Derek C.
1
2018
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.
1
2020
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.
3
2018
Bézier \(\bar{B}\) projection. Zbl 1440.65222
Miao, Di; Borden, Michael J.; Scott, Michael A.; Thomas, Derek C.
1
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.
17
2016
Isogeometric collocation for phase-field fracture models. Zbl 1423.74848
Schillinger, Dominik; Borden, Michael J.; Stolarski, Henryk K.
14
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.
92
2014
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.
227
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.
182
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.
147
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.
118
2011
Methods and applications of generalized sheet insertion for hexahedral meshing. Zbl 1134.65321
Merkley, Karl; Ernst, Corey; Shepherd, Jason F.; Borden, Michael J.
5
2008
A selective approach to conformal refinement of unstructured hexahedral finite element meshes. Zbl 1134.65324
Parrish, Michael; Borden, Michael; Staten, Matthew; Benzley, Steven
4
2008
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Cited by 899 Authors

42 Hughes, Thomas J. R.
24 Rabczuk, Timon
24 Schillinger, Dominik
18 de Borst, René
18 Verhoosel, Clemens V.
16 de Lorenzis, Laura
16 Wick, Thomas
14 Sauer, Roger A.
13 Bazilevs, Yuri
13 Reali, Alessandro
11 Hesch, Christian
11 Scott, Michael A.
10 Evans, John A.
10 Jüttler, Bert
10 Kollmannsberger, Stefan
10 Wriggers, Peter
10 Zhuang, Xiaoying
9 Aldakheel, Fadi
9 Hsu, Ming-Chen
9 Ruess, Martin
9 Sangalli, Giancarlo
9 Van Brummelen, Harald
9 Wheeler, Mary Fanett
9 Zhang, Yongjie
8 Buffa, Annalisa
8 Dittmann, Moritz Christopher
8 Duong, Thang X.
8 Hiemstra, René R.
8 Kiendl, Josef
8 Miehe, Christian
8 Rank, Ernst
8 Sun, WaiChing
8 Zhang, Yongjie Jessica
7 Anitescu, Cosmin
7 Bordas, Stéphane Pierre Alain
7 Borden, Michael J.
7 Kamensky, David
7 Landis, Chad M.
6 Auricchio, Ferdinando
6 Bletzinger, Kai-Uwe
6 Li, Xin
6 Toshniwal, Deepesh
6 Waisman, Haim
6 Wei, Xiaodong
6 Weinberg, Kerstin
6 Wüchner, Roland
5 Ambati, Marreddy
5 Beirão da Veiga, Lourenço
5 Dede, Luca
5 Deng, Jiansong
5 Duczek, Sascha
5 Kvamsdal, Trond
5 Mantzaflaris, Angelos
5 May, Stefan
5 Remmers, Joris J. C.
5 Tomar, Satyendra K.
4 Bouclier, Robin
4 Cirak, Fehmi
4 Corbett, Callum J.
4 Giannelli, Carlotta
4 Guo, Yujie
4 Jiang, Wen
4 Kästner, Markus
4 Kleiss, Stefan K.
4 Lee, Sanghyun
4 Meschke, Günther
4 Nguyen-Thanh, Nhon
4 Nguyen-Xuan, Hung
4 Passieux, Jean-Charles
4 Simpson, Robert Napier
4 Temizer, Ilker
4 Vazquez, Rafael
4 Vignollet, Julien
4 Wang, Wenyan
4 Zander, Nils
4 Zhou, Kun
4 Zimmermann, Christopher
3 Alessi, Roberto
3 Apostolatos, Andreas
3 Areias, Pedro M. A.
3 Bog, Tino
3 Bryant, Eric C.
3 Bui, Tinh Quoc
3 Calabró, Francesco
3 Calo, Victor Manuel
3 Casquero, Hugo
3 Cimrman, Robert
3 Coox, Laurens
3 D’Angella, Davide
3 de Prenter, Frits
3 Desmet, Wim
3 Dettmer, Wulf G.
3 Dimitri, Rossana
3 Engvall, Luke
3 Evans, Emily J.
3 Fernández-Méndez, Sonia
3 Gabbert, Ulrich
3 Herrema, Austin J.
3 Hosseini, Saman
3 Hu, Ping
...and 799 more Authors
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Cited in 49 Serials

304 Computer Methods in Applied Mechanics and Engineering
59 Computational Mechanics
32 International Journal for Numerical Methods in Engineering
20 Journal of Computational Physics
17 Computers & Mathematics with Applications
10 Journal of Computational and Applied Mathematics
10 Computer Aided Geometric Design
8 European Journal of Mechanics. A. Solids
6 Computers and Fluids
6 Meccanica
5 Continuum Mechanics and Thermodynamics
4 Applied Mathematics and Computation
4 Applied Mathematical Modelling
4 Journal of Elasticity
4 Engineering Analysis with Boundary Elements
4 Archives of Computational Methods in Engineering
3 Applied Numerical Mathematics
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Journal on Scientific Computing
3 International Journal of Computational Methods
2 Acta Mechanica
2 Journal of the Mechanics and Physics of Solids
2 Mathematics and Computers in Simulation
2 SIAM Journal on Numerical Analysis
2 Computational Geosciences
2 Multiscale Modeling & Simulation
2 GEM - International Journal on Geomathematics
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Geometry and Physics
1 Numerische Mathematik
1 SIAM Journal on Control and Optimization
1 Physica D
1 ACM Transactions on Graphics
1 Numerical Methods for Partial Differential Equations
1 Journal of Scientific Computing
1 Computational and Applied Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Computational Mathematics
1 Discrete and Continuous Dynamical Systems
1 Journal of Systems Science and Complexity
1 Analysis and Applications (Singapore)
1 Acta Numerica
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 GAMM-Mitteilungen
1 Advances in Calculus of Variations
1 Advances in Numerical Analysis
1 Science China. Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SMAI Journal of Computational Mathematics

Citations by Year