×

Garikipati, Krishna

Compute Distance To:
Author ID: garikipati.krishna Recent zbMATH articles by "Garikipati, Krishna"
Published as: Garikipati, K.; Garikipati, Krishna

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 775 times in 622 Documents Cited by Year
Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity. Zbl 1086.74038
Engel, G.; Garikipati, K.; Hughes, T. J. R.; Larson, M. G.; Mazzei, L.; Taylor, R. L.
190
2002
An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids. Zbl 0924.73084
Armero, F.; Garikipati, K.
105
1996
A discontinuous Galerkin method for the Cahn-Hilliard equation. Zbl 1106.65086
Wells, Garth N.; Kuhl, Ellen; Garikipati, Krishna
82
2006
Perspectives on biological growth and remodeling. Zbl 1270.74134
Ambrosi, D.; Ateshian, G. A.; Arruda, E. M.; Cowin, S. C.; Dumais, J.; Goriely, A.; Holzapfel, G. A.; Humphrey, J. D.; Kemkemer, R.; Kuhl, E.; Olberding, J. E.; Taber, L. A.; Garikipati, K.
62
2011
A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics. Zbl 1159.74381
Garikipati, K.; Arruda, E. M.; Grosh, K.; Narayanan, H.; Calve, S.
56
2004
A variational multiscale approach to strain localization – formulation for multidimensional problems. Zbl 1011.74069
Garikipati, K.; Hughes, T. J. R.
36
2000
A study of strain localization in a multiple scale framework. – The one-dimensional problem. Zbl 0961.74009
Garikipati, Krishna; Hughes, Thomas J. R.
28
1998
A discontinuous Galerkin formulation for a strain gradient-dependent damage model. Zbl 1068.74084
Wells, Garth N.; Garikipati, Krishna; Molari, Luisa
23
2004
Remodeling of biological tissue: mechanically induced reorientation of a transversely isotropic chain network. Zbl 1120.74635
Kuhl, Ellen; Garikipati, Krishna; Arruda, Ellen M.; Grosh, Karl
23
2005
Three-dimensional isogeometric solutions to general boundary value problems of Toupin’s gradient elasticity theory at finite strains. Zbl 1423.74105
Rudraraju, S.; Van der Ven, A.; Garikipati, K.
18
2014
On modelling thermal oxidation of silicon. II: Numerical aspects. Zbl 0988.74011
Rao, Vinay S.; Hughes, Thomas J. R.; Garikipati, Krishna
16
2000
A discontinuous Galerkin method for strain gradient-dependent damage: study of interpolations and convergence. Zbl 1116.74065
Molari, Luisa; Wells, Garth N.; Garikipati, Krishna; Ubertini, Francesco
14
2006
Machine learning materials physics: integrable deep neural networks enable scale bridging by learning free energy functions. Zbl 1441.82021
Teichert, G. H.; Natarajan, A. R.; Van der Ven, A.; Garikipati, K.
13
2019
An assumed-gradient finite element method for the level set equation. Zbl 1114.65115
Mourad, Hashem M.; Dolbow, John; Garikipati, Krishna
10
2005
A lattice-based micromechanical continuum formulation for stress-driven mass transport in polycrystalline solids. Zbl 1015.74005
Garikipati, Krishna; Bassman, Lori; Deal, Michael
9
2001
Variational multiscale methods to embed the macromechanical continuum formulation with fine-scale strain gradient theories. Zbl 1062.74518
Garikipati, K.
9
2003
Biological remodelling: stationary energy, configurational change, internal variables and dissipation. Zbl 1120.74633
Garikipati, K.; Olberding, J. E.; Narayanan, H.; Arruda, E. M.; Grosh, K.; Calve, S.
9
2006
Variational system identification of the partial differential equations governing the physics of pattern-formation: inference under varying fidelity and noise. Zbl 1441.65071
Wang, Z.; Huan, X.; Garikipati, K.
9
2019
Machine learning materials physics: surrogate optimization and multi-fidelity algorithms predict precipitate morphology in an alternative to phase field dynamics. Zbl 1440.74276
Teichert, Gregory H.; Garikipati, Krishna
7
2019
Recent advances in models for thermal oxidation of silicon. Zbl 1106.74317
Garikipati, Krishna; Rao, Vinay S.
6
2001
A variational multiscale method to incorporate strain gradients in a phenomenological plasticity model. Zbl 1112.74330
Creighton, S. L.; Regueiro, R. A.; Garikipati, K.; Klein, P. A.; Marin, E. B.; Bammann, D. J.
6
2004
Material forces in the context of biotissue remodelling. Zbl 1192.74255
Garikipati, Krishna; Narayanan, Harish; Arruda, Ellen M.; Grosh, Karl; Calve, Sarah
5
2005
Couple stresses in crystalline solids: origins from plastic slip gradients, dislocation core distortions, and three-body interatomic potentials. Zbl 1077.74522
Garikipati, Krishna
5
2003
A variational multiscale method to embed micromechanical surface laws in the macromechanical continuum formulation. Zbl 1098.74007
Garikipati, K.
4
2002
A discontinuous Galerkin method for an incompatibility-based strain gradient plasticity theory. Zbl 1209.74059
Ostien, J.; Garikipati, K.
4
2008
Elastica-based strain energy functions for soft biological tissue. Zbl 1171.74382
Garikipati, K.; Göktepe, S.; Miehe, C.
3
2008
Second order threshold dynamics schemes for two phase motion by mean curvature. Zbl 1436.65153
Zaitzeff, Alexander; Esedoḡlu, Selim; Garikipati, Krishna
3
2020
Variational extrapolation of implicit schemes for general gradient flows. Zbl 1453.65277
Zaitzeff, Alexander; Esedoḡlu, Selim; Garikipati, Krishna
2
2020
The continuum elastic and atomistic viewpoints on the formation volume and strain energy of a point defect. Zbl 1120.74311
Garikipati, K.; Falk, M.; Bouville, M.; Puchala, B.; Narayanan, H.
2
2006
Advances in the numerical treatment of grain-boundary migration: coupling with mass transport and mechanics. Zbl 1120.74332
Mourad, Hashem M.; Garikipati, Krishna
2
2006
In-plane fracture of laminated fiber reinforced composites with varying fracture resistance: experimental observations and numerical crack propagation simulations. Zbl 1193.74144
Rudraraju, Siva Shankar; Salvi, Amit; Garikipati, Krishna; Waas, Anthony M.
2
2010
On standard and vector finite element analysis of a strict anti-plane shear plasticity model with elastic curvature. Zbl 1173.74439
Regueiro, R. A.; Dixit, P.; Garikipati, K.
2
2007
Unconditionally stable, second-order accurate schemes for solid state phase transformations driven by mechano-chemical spinodal decomposition. Zbl 1439.74242
Sagiyama, K.; Rudraraju, S.; Garikipati, K.
2
2016
Variational system identification of the partial differential equations governing microstructure evolution in materials: inference over sparse and spatially unrelated data. Zbl 07340399
Wang, Z.; Huan, X.; Garikipati, K.
2
2021
A simple solution strategy for coupled piezo-diffusion in elastic solids. Zbl 1165.74021
de Miranda, S.; Garikipati, K.; Molari, L.; Ubertini, F.
1
2009
On the Voronoi implicit interface method. Zbl 1428.65016
Zaitzeff, Alexander; Esedoglu, Selim; Garikipati, Krishna
1
2019
Editorial: Special issue on uncertainty quantification, machine learning, and data-driven modeling of biological systems. Zbl 1433.00040
1
2020
Unconditionally stable, second-order schemes for gradient-regularized, non-convex, finite-strain elasticity modeling martensitic phase transformations. Zbl 1440.74265
Sagiyama, K.; Garikipati, K.
1
2018
System inference for the spatio-temporal evolution of infectious diseases: Michigan in the time of COVID-19. Zbl 1465.92132
Wang, Z.; Zhang, X.; Teichert, G. H.; Carrasco-Teja, M.; Garikipati, K.
1
2020
Machine learning materials physics: multi-resolution neural networks learn the free energy and nonlinear elastic response of evolving microstructures. Zbl 07337858
Zhang, Xiaoxuan; Garikipati, Krishna
1
2020
Variational system identification of the partial differential equations governing microstructure evolution in materials: inference over sparse and spatially unrelated data. Zbl 07340399
Wang, Z.; Huan, X.; Garikipati, K.
2
2021
Second order threshold dynamics schemes for two phase motion by mean curvature. Zbl 1436.65153
Zaitzeff, Alexander; Esedoḡlu, Selim; Garikipati, Krishna
3
2020
Variational extrapolation of implicit schemes for general gradient flows. Zbl 1453.65277
Zaitzeff, Alexander; Esedoḡlu, Selim; Garikipati, Krishna
2
2020
Editorial: Special issue on uncertainty quantification, machine learning, and data-driven modeling of biological systems. Zbl 1433.00040
1
2020
System inference for the spatio-temporal evolution of infectious diseases: Michigan in the time of COVID-19. Zbl 1465.92132
Wang, Z.; Zhang, X.; Teichert, G. H.; Carrasco-Teja, M.; Garikipati, K.
1
2020
Machine learning materials physics: multi-resolution neural networks learn the free energy and nonlinear elastic response of evolving microstructures. Zbl 07337858
Zhang, Xiaoxuan; Garikipati, Krishna
1
2020
Machine learning materials physics: integrable deep neural networks enable scale bridging by learning free energy functions. Zbl 1441.82021
Teichert, G. H.; Natarajan, A. R.; Van der Ven, A.; Garikipati, K.
13
2019
Variational system identification of the partial differential equations governing the physics of pattern-formation: inference under varying fidelity and noise. Zbl 1441.65071
Wang, Z.; Huan, X.; Garikipati, K.
9
2019
Machine learning materials physics: surrogate optimization and multi-fidelity algorithms predict precipitate morphology in an alternative to phase field dynamics. Zbl 1440.74276
Teichert, Gregory H.; Garikipati, Krishna
7
2019
On the Voronoi implicit interface method. Zbl 1428.65016
Zaitzeff, Alexander; Esedoglu, Selim; Garikipati, Krishna
1
2019
Unconditionally stable, second-order schemes for gradient-regularized, non-convex, finite-strain elasticity modeling martensitic phase transformations. Zbl 1440.74265
Sagiyama, K.; Garikipati, K.
1
2018
Unconditionally stable, second-order accurate schemes for solid state phase transformations driven by mechano-chemical spinodal decomposition. Zbl 1439.74242
Sagiyama, K.; Rudraraju, S.; Garikipati, K.
2
2016
Three-dimensional isogeometric solutions to general boundary value problems of Toupin’s gradient elasticity theory at finite strains. Zbl 1423.74105
Rudraraju, S.; Van der Ven, A.; Garikipati, K.
18
2014
Perspectives on biological growth and remodeling. Zbl 1270.74134
Ambrosi, D.; Ateshian, G. A.; Arruda, E. M.; Cowin, S. C.; Dumais, J.; Goriely, A.; Holzapfel, G. A.; Humphrey, J. D.; Kemkemer, R.; Kuhl, E.; Olberding, J. E.; Taber, L. A.; Garikipati, K.
62
2011
In-plane fracture of laminated fiber reinforced composites with varying fracture resistance: experimental observations and numerical crack propagation simulations. Zbl 1193.74144
Rudraraju, Siva Shankar; Salvi, Amit; Garikipati, Krishna; Waas, Anthony M.
2
2010
A simple solution strategy for coupled piezo-diffusion in elastic solids. Zbl 1165.74021
de Miranda, S.; Garikipati, K.; Molari, L.; Ubertini, F.
1
2009
A discontinuous Galerkin method for an incompatibility-based strain gradient plasticity theory. Zbl 1209.74059
Ostien, J.; Garikipati, K.
4
2008
Elastica-based strain energy functions for soft biological tissue. Zbl 1171.74382
Garikipati, K.; Göktepe, S.; Miehe, C.
3
2008
On standard and vector finite element analysis of a strict anti-plane shear plasticity model with elastic curvature. Zbl 1173.74439
Regueiro, R. A.; Dixit, P.; Garikipati, K.
2
2007
A discontinuous Galerkin method for the Cahn-Hilliard equation. Zbl 1106.65086
Wells, Garth N.; Kuhl, Ellen; Garikipati, Krishna
82
2006
A discontinuous Galerkin method for strain gradient-dependent damage: study of interpolations and convergence. Zbl 1116.74065
Molari, Luisa; Wells, Garth N.; Garikipati, Krishna; Ubertini, Francesco
14
2006
Biological remodelling: stationary energy, configurational change, internal variables and dissipation. Zbl 1120.74633
Garikipati, K.; Olberding, J. E.; Narayanan, H.; Arruda, E. M.; Grosh, K.; Calve, S.
9
2006
The continuum elastic and atomistic viewpoints on the formation volume and strain energy of a point defect. Zbl 1120.74311
Garikipati, K.; Falk, M.; Bouville, M.; Puchala, B.; Narayanan, H.
2
2006
Advances in the numerical treatment of grain-boundary migration: coupling with mass transport and mechanics. Zbl 1120.74332
Mourad, Hashem M.; Garikipati, Krishna
2
2006
Remodeling of biological tissue: mechanically induced reorientation of a transversely isotropic chain network. Zbl 1120.74635
Kuhl, Ellen; Garikipati, Krishna; Arruda, Ellen M.; Grosh, Karl
23
2005
An assumed-gradient finite element method for the level set equation. Zbl 1114.65115
Mourad, Hashem M.; Dolbow, John; Garikipati, Krishna
10
2005
Material forces in the context of biotissue remodelling. Zbl 1192.74255
Garikipati, Krishna; Narayanan, Harish; Arruda, Ellen M.; Grosh, Karl; Calve, Sarah
5
2005
A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics. Zbl 1159.74381
Garikipati, K.; Arruda, E. M.; Grosh, K.; Narayanan, H.; Calve, S.
56
2004
A discontinuous Galerkin formulation for a strain gradient-dependent damage model. Zbl 1068.74084
Wells, Garth N.; Garikipati, Krishna; Molari, Luisa
23
2004
A variational multiscale method to incorporate strain gradients in a phenomenological plasticity model. Zbl 1112.74330
Creighton, S. L.; Regueiro, R. A.; Garikipati, K.; Klein, P. A.; Marin, E. B.; Bammann, D. J.
6
2004
Variational multiscale methods to embed the macromechanical continuum formulation with fine-scale strain gradient theories. Zbl 1062.74518
Garikipati, K.
9
2003
Couple stresses in crystalline solids: origins from plastic slip gradients, dislocation core distortions, and three-body interatomic potentials. Zbl 1077.74522
Garikipati, Krishna
5
2003
Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity. Zbl 1086.74038
Engel, G.; Garikipati, K.; Hughes, T. J. R.; Larson, M. G.; Mazzei, L.; Taylor, R. L.
190
2002
A variational multiscale method to embed micromechanical surface laws in the macromechanical continuum formulation. Zbl 1098.74007
Garikipati, K.
4
2002
A lattice-based micromechanical continuum formulation for stress-driven mass transport in polycrystalline solids. Zbl 1015.74005
Garikipati, Krishna; Bassman, Lori; Deal, Michael
9
2001
Recent advances in models for thermal oxidation of silicon. Zbl 1106.74317
Garikipati, Krishna; Rao, Vinay S.
6
2001
A variational multiscale approach to strain localization – formulation for multidimensional problems. Zbl 1011.74069
Garikipati, K.; Hughes, T. J. R.
36
2000
On modelling thermal oxidation of silicon. II: Numerical aspects. Zbl 0988.74011
Rao, Vinay S.; Hughes, Thomas J. R.; Garikipati, Krishna
16
2000
A study of strain localization in a multiple scale framework. – The one-dimensional problem. Zbl 0961.74009
Garikipati, Krishna; Hughes, Thomas J. R.
28
1998
An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids. Zbl 0924.73084
Armero, F.; Garikipati, K.
105
1996
all top 5

Cited by 1,056 Authors

26 Garikipati, Krishna
19 Kuhl, Ellen
14 Brenner, Susanne Cecelia
12 Goriely, Alain
11 Hughes, Thomas J. R.
11 Linder, Christian
11 Wells, Garth N.
10 Steinmann, Paul
9 Armero, Francisco
9 Doblaré, Manuel
9 Huang, Xuehai
9 Mosler, Jörn
9 Rabczuk, Timon
8 Dolbow, John E.
8 Gudi, Thirupathi
8 Larson, Mats G.
7 Huespe, Alfredo E.
7 Martínez, Miguel Ángel
7 McBride, Andrew T.
7 Noels, Ludovic
7 Sluys, Lambertus Johannes
6 Cockburn, Bernardo
6 Hansbo, Peter
6 Javili, Ali
6 Kim, Tae-Yeon
6 Oliver, Javier
6 Reddy, B. Dayanand
6 Zhang, Xiaoxuan
5 Ambrosi, Davide
5 Arruda, Ellen M.
5 Borja, Ronaldo I.
5 de Borst, René
5 Epstein, Marcelo
5 Holzapfel, Gerhard Alfred
5 Huang, Jianguo
5 Moulton, Derek E.
5 Nataraj, Neela
5 Niiranen, Jarkko
5 Oskay, Caglar
5 Regueiro, Richard A.
5 Rubin, Miles B.
5 Yavari, Arash
5 Ye, Xiu
4 Bammann, Douglas J.
4 Becker, Gauthier
4 Beirão da Veiga, Lourenço
4 Belytschko, Ted Bohdan
4 Buganza Tepole, Adrián
4 Byrne, Helen Mary
4 Callari, Carlo
4 Dias-da-Costa, Daniel
4 Fried, Eliot
4 Gravemeier, Volker
4 Grillo, Alfio
4 Harari, Isaac
4 Humphrey, Jay D.
4 Ji, Xia
4 Kou, Jisheng
4 Lamichhane, Bishnu Prasad
4 Li, Hao
4 Menzel, Andreas M.
4 Molari, Luisa
4 Neilan, Michael
4 Park, Eun-Jae
4 Peña, Estefanía
4 Safadi, M. M.
4 Samaniego, Esteban
4 Schillinger, Dominik
4 Wang, Junping
4 Yang, Yidu
3 Abeyaratne, Rohan C.
3 Alfaiate, Jorge
3 An, Rong
3 Areias, Pedro M. A.
3 Arroyo, Marino
3 Bazilevs, Yuri
3 Calve, Sarah
3 Cottrell, J. Austin
3 Dehghan Takht Fooladi, Mehdi
3 Dutra do Carmo, Eduardo Gomes
3 Ebobisse, François Bille
3 Gasser, Thomas C.
3 Grosh, Karl
3 Huang, Ruoyu
3 Ji, Huidi
3 Jiang, Wen
3 Júlio, E. N. B. S.
3 Liu, Hailiang
3 Liu, Ruijie
3 Masud, Arif
3 Miehe, Christian
3 Millán, Daniel
3 Mourad, Hashem M.
3 Mozolevsky, Igor E.
3 Mu, Lin
3 Oden, John Tinsley
3 Oñate Ibáñez de Navarra, Eugenio
3 Porwal, Kamana
3 Reali, Alessandro
3 Rosolen, Adrian
...and 956 more Authors
all top 5

Cited in 96 Serials

175 Computer Methods in Applied Mechanics and Engineering
47 International Journal for Numerical Methods in Engineering
40 Journal of the Mechanics and Physics of Solids
34 Journal of Computational Physics
31 Computational Mechanics
26 Journal of Scientific Computing
14 International Journal of Engineering Science
13 Computers & Mathematics with Applications
12 Numerical Methods for Partial Differential Equations
11 Journal of Theoretical Biology
10 Journal of Computational and Applied Mathematics
9 SIAM Journal on Numerical Analysis
9 Mathematics and Mechanics of Solids
8 International Journal of Solids and Structures
8 Engineering Analysis with Boundary Elements
8 European Journal of Mechanics. A. Solids
8 Archives of Computational Methods in Engineering
6 Journal of Elasticity
6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Acta Mechanica
5 Mathematics of Computation
4 Archive for Rational Mechanics and Analysis
4 Journal of Mathematical Biology
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Applied Mathematics and Computation
4 Numerische Mathematik
4 Applied Numerical Mathematics
4 Communications in Numerical Methods in Engineering
4 International Journal of Fracture
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 International Journal of Plasticity
3 Bulletin of Mathematical Biology
3 Calcolo
3 Meccanica
3 Journal of Nonlinear Science
3 Engineering Computations
2 Numerical Functional Analysis and Optimization
2 Applied Mathematical Modelling
2 Continuum Mechanics and Thermodynamics
2 SIAM Journal on Scientific Computing
2 Advances in Computational Mathematics
2 Mathematical Problems in Engineering
2 Journal of Inequalities and Applications
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Communications in Nonlinear Science and Numerical Simulation
2 International Journal of Computational Methods
2 Communications in Computational Physics
2 Advances in Applied Mathematics and Mechanics
2 Science China. Mathematics
2 AIMS Mathematics
2 Communications on Applied Mathematics and Computation
2 Results in Applied Mathematics
1 Applicable Analysis
1 Computers and Fluids
1 International Journal for Numerical Methods in Fluids
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Rocky Mountain Journal of Mathematics
1 BIT
1 Mathematics and Computers in Simulation
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Applied Mathematics and Mechanics. (English Edition)
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 SIAM Journal on Applied Mathematics
1 Archive of Applied Mechanics
1 Numerical Linear Algebra with Applications
1 Computational and Applied Mathematics
1 Computing and Visualization in Science
1 International Journal of Computational Fluid Dynamics
1 Abstract and Applied Analysis
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Analysis (München)
1 Computational Geosciences
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Discrete and Continuous Dynamical Systems. Series B
1 Computational Methods in Applied Mathematics
1 Milan Journal of Mathematics
1 Analysis and Applications (Singapore)
1 Mathematical Biosciences and Engineering
1 Science in China. Series G
1 GAMM-Mitteilungen
1 Acta Mechanica Sinica
1 Journal of Biological Dynamics
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 Communications in Applied and Industrial Mathematics
1 ISRN Applied Mathematics
1 Open Mathematics
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SMAI Journal of Computational Mathematics

Citations by Year