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Author ID: itskov.mikhail Recent zbMATH articles by "Itskov, Mikhail"
Published as: Itskov, Mikhail; Itskov, M.
Documents Indexed: 48 Publications since 1997, including 5 Books
Co-Authors: 24 Co-Authors with 32 Joint Publications
161 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 361 times in 287 Documents Cited by Year
A class of orthotropic and transversely isotropic hyperelastic constitutive models based on a polyconvex strain energy function. Zbl 1079.74516
Itskov, Mikhail; Aksel, Nuri
43
2004
On the theory of fourth-order tensors and their applications in computational mechanics. Zbl 0980.74006
Itskov, Mikhail
24
2000
Constitutive artificial neural networks: a fast and general approach to predictive data-driven constitutive modeling by deep learning. Zbl 07500745
Linka, Kevin; Hillgärtner, Markus; Abdolazizi, Kian P.; Aydin, Roland C.; Itskov, Mikhail; Cyron, Christian J.
24
2021
Tensor algebra and tensor analysis for engineers. With applications to continuum mechanics. Zbl 1116.15027
Itskov, Mikhail
21
2007
Modeling of anisotropic softening phenomena: Application to soft biological tissues. Zbl 1160.74010
Ehret, Alexander E.; Itskov, Mikhail
18
2009
Tensor algebra and tensor analysis for engineers. With applications to continuum mechanics. 4th revised ed. Zbl 1309.15004
Itskov, Mikhail
15
2015
Composite laminates: Nonlinear interlaminar stress analysis by multi-layer shell elements. Zbl 0981.74061
Başar, Y.; Itskov, M.; Eckstein, A.
14
2000
Computation of the exponential and other isotropic tensor functions and their derivatives. Zbl 1037.65041
Itskov, Mikhail
14
2003
On the application of the additive decomposition of generalized strain measures in large strain plasticity. Zbl 1073.74019
Itskov, Mikhail
13
2004
A generalized orthotropic hyperelastic material model with application to incompressible shells. Zbl 0997.74006
Itskov, Mikhail
13
2001
Constitutive model and finite element formulation for large strain elasto-plastic analysis of shells. Zbl 0943.74035
Başar, Y.; Itskov, M.
12
1999
A constitutive model for orthotropic elasto-plasticity at large strains. Zbl 1158.74326
Itskov, M.; Aksel, N.
12
2004
A polyconvex anisotropic free energy function for electro- and magneto-rheological elastomers. Zbl 1370.74056
Itskov, Mikhail; Khiêm, Vu Ngoc
12
2016
Numerical integration on the sphere and its effect on the material symmetry of constitutive equations - a comparative study. Zbl 1183.74352
Ehret, A. E.; Itskov, M.; Schmid, H.
11
2010
A continuum constitutive model for the active behaviour of skeletal muscle. Zbl 1270.74138
Ehret, Alexander E.; Böl, Markus; Itskov, Mikhail
11
2011
Elastic constants and their admissible values for incompressible and slightly compressible anisotropic materials. Zbl 1027.74003
Itskov, M.; Aksel, N.
10
2002
A full-network rubber elasticity model based on analytical integration. Zbl 1257.74020
Itskov, Mikhail; Ehret, Alexander E.; Dargazany, Roozbeh
10
2010
Tensor algebra and tensor analysis for engineers. With applications to continuum mechanics. 5th revised edition. Zbl 1397.00004
Itskov, Mikhail
10
2019
A network evolution model for the anisotropic mullins effect in carbon black filled rubbers. Zbl 1167.74332
Dargazany, Roozbeh; Itskov, Mikhail
9
2009
Finite element formulation of the Ogden material model with application to rubber-like shells. Zbl 0912.73052
Başar, Yavuz; Itskov, Mikhail
8
1998
A closed-form representation for the derivative of non-symmetric tensor power series. Zbl 1032.74532
Itskov, Mikhail; Aksel, Nuri
8
2002
Tensor algebra and tensor analysis for engineers. With applications to continuum mechanics. 2nd ed. Zbl 1159.15010
Itskov, Mikhail
7
2009
On the accuracy of numerical integration over the unit sphere applied to full network models. Zbl 1382.74137
Itskov, Mikhail
7
2016
Tensor algebra and tensor analysis for engineers. With applications to continuum mechanics. 3rd ed. Zbl 1245.15025
Itskov, Mikhail
6
2013
A universal model for the elastic, inelastic and active behaviour of soft biological tissues. Zbl 1177.74281
Itskov, M.; Ehret, A. E.
5
2009
The derivative with respect to a tensor: some theoretical aspects and applications. Zbl 1002.15031
Itskov, M.
5
2002
A thermodynamically consistent phenomenological model of the anisotropic Mullins effect. Zbl 1244.74039
Itskov, Mikhail; Ehret, Alexander E.; Kazakevičiūtė-Makovska, Rasa; Weinhold, Georg W.
4
2010
Application of the Dunford-Taylor integral to isotropic tensor functions and their derivatives. Zbl 1041.74007
Itskov, Mikhail
4
2003
A simple algorithm for the fast calculation of higher order derivatives of the inverse function. Zbl 1329.26009
Dargazany, Roozbeh; Hörnes, Karl; Itskov, Mikhail
3
2013
Electroelasticity of dielectric elastomers based on molecular chain statistics. Zbl 1457.74061
Itskov, Mikhail; Vu Ngoc Khiêm; Waluyo, Sugeng
3
2019
Taylor expansion of the inverse function with application to the Langevin function. Zbl 07278885
Itskov, Mikhail; Dargazany, Roozbeh; Hörnes, Karl
2
2012
A new orthotropic hyperelastic constitutive model with application to incompressible shells. Zbl 1002.74064
Itskov, M.; Başar, Y.
1
2001
A general isogeometric finite element formulation for rotation-free shells with in-plane bending of embedded fibers. Zbl 07767902
Duong, Thang X.; Itskov, Mikhail; Sauer, Roger A.
1
2022
A microstructurally motivated anisotropic viscoelastic model for soft tissues. Zbl 1393.74109
Ehret, Alexander E.; Itskov, Mikhail; Weinhold, Georg
1
2008
A general isogeometric finite element formulation for rotation-free shells with in-plane bending of embedded fibers. Zbl 07767902
Duong, Thang X.; Itskov, Mikhail; Sauer, Roger A.
1
2022
Constitutive artificial neural networks: a fast and general approach to predictive data-driven constitutive modeling by deep learning. Zbl 07500745
Linka, Kevin; Hillgärtner, Markus; Abdolazizi, Kian P.; Aydin, Roland C.; Itskov, Mikhail; Cyron, Christian J.
24
2021
Tensor algebra and tensor analysis for engineers. With applications to continuum mechanics. 5th revised edition. Zbl 1397.00004
Itskov, Mikhail
10
2019
Electroelasticity of dielectric elastomers based on molecular chain statistics. Zbl 1457.74061
Itskov, Mikhail; Vu Ngoc Khiêm; Waluyo, Sugeng
3
2019
A polyconvex anisotropic free energy function for electro- and magneto-rheological elastomers. Zbl 1370.74056
Itskov, Mikhail; Khiêm, Vu Ngoc
12
2016
On the accuracy of numerical integration over the unit sphere applied to full network models. Zbl 1382.74137
Itskov, Mikhail
7
2016
Tensor algebra and tensor analysis for engineers. With applications to continuum mechanics. 4th revised ed. Zbl 1309.15004
Itskov, Mikhail
15
2015
Tensor algebra and tensor analysis for engineers. With applications to continuum mechanics. 3rd ed. Zbl 1245.15025
Itskov, Mikhail
6
2013
A simple algorithm for the fast calculation of higher order derivatives of the inverse function. Zbl 1329.26009
Dargazany, Roozbeh; Hörnes, Karl; Itskov, Mikhail
3
2013
Taylor expansion of the inverse function with application to the Langevin function. Zbl 07278885
Itskov, Mikhail; Dargazany, Roozbeh; Hörnes, Karl
2
2012
A continuum constitutive model for the active behaviour of skeletal muscle. Zbl 1270.74138
Ehret, Alexander E.; Böl, Markus; Itskov, Mikhail
11
2011
Numerical integration on the sphere and its effect on the material symmetry of constitutive equations - a comparative study. Zbl 1183.74352
Ehret, A. E.; Itskov, M.; Schmid, H.
11
2010
A full-network rubber elasticity model based on analytical integration. Zbl 1257.74020
Itskov, Mikhail; Ehret, Alexander E.; Dargazany, Roozbeh
10
2010
A thermodynamically consistent phenomenological model of the anisotropic Mullins effect. Zbl 1244.74039
Itskov, Mikhail; Ehret, Alexander E.; Kazakevičiūtė-Makovska, Rasa; Weinhold, Georg W.
4
2010
Modeling of anisotropic softening phenomena: Application to soft biological tissues. Zbl 1160.74010
Ehret, Alexander E.; Itskov, Mikhail
18
2009
A network evolution model for the anisotropic mullins effect in carbon black filled rubbers. Zbl 1167.74332
Dargazany, Roozbeh; Itskov, Mikhail
9
2009
Tensor algebra and tensor analysis for engineers. With applications to continuum mechanics. 2nd ed. Zbl 1159.15010
Itskov, Mikhail
7
2009
A universal model for the elastic, inelastic and active behaviour of soft biological tissues. Zbl 1177.74281
Itskov, M.; Ehret, A. E.
5
2009
A microstructurally motivated anisotropic viscoelastic model for soft tissues. Zbl 1393.74109
Ehret, Alexander E.; Itskov, Mikhail; Weinhold, Georg
1
2008
Tensor algebra and tensor analysis for engineers. With applications to continuum mechanics. Zbl 1116.15027
Itskov, Mikhail
21
2007
A class of orthotropic and transversely isotropic hyperelastic constitutive models based on a polyconvex strain energy function. Zbl 1079.74516
Itskov, Mikhail; Aksel, Nuri
43
2004
On the application of the additive decomposition of generalized strain measures in large strain plasticity. Zbl 1073.74019
Itskov, Mikhail
13
2004
A constitutive model for orthotropic elasto-plasticity at large strains. Zbl 1158.74326
Itskov, M.; Aksel, N.
12
2004
Computation of the exponential and other isotropic tensor functions and their derivatives. Zbl 1037.65041
Itskov, Mikhail
14
2003
Application of the Dunford-Taylor integral to isotropic tensor functions and their derivatives. Zbl 1041.74007
Itskov, Mikhail
4
2003
Elastic constants and their admissible values for incompressible and slightly compressible anisotropic materials. Zbl 1027.74003
Itskov, M.; Aksel, N.
10
2002
A closed-form representation for the derivative of non-symmetric tensor power series. Zbl 1032.74532
Itskov, Mikhail; Aksel, Nuri
8
2002
The derivative with respect to a tensor: some theoretical aspects and applications. Zbl 1002.15031
Itskov, M.
5
2002
A generalized orthotropic hyperelastic material model with application to incompressible shells. Zbl 0997.74006
Itskov, Mikhail
13
2001
A new orthotropic hyperelastic constitutive model with application to incompressible shells. Zbl 1002.74064
Itskov, M.; Başar, Y.
1
2001
On the theory of fourth-order tensors and their applications in computational mechanics. Zbl 0980.74006
Itskov, Mikhail
24
2000
Composite laminates: Nonlinear interlaminar stress analysis by multi-layer shell elements. Zbl 0981.74061
Başar, Y.; Itskov, M.; Eckstein, A.
14
2000
Constitutive model and finite element formulation for large strain elasto-plastic analysis of shells. Zbl 0943.74035
Başar, Y.; Itskov, M.
12
1999
Finite element formulation of the Ogden material model with application to rubber-like shells. Zbl 0912.73052
Başar, Yavuz; Itskov, Mikhail
8
1998
all top 5

Cited by 523 Authors

19 Itskov, Mikhail
8 Ehret, Alexander E.
8 Montáns, Francisco-Javier
7 Ortigosa, Rogelio
6 Gil, Antonio J.
6 Latorre, Marcos
6 Shutov, Alexey V.
5 Dargazany, Roozbeh
5 Linka, Kevin
5 Shariff, M. H. B. M.
4 Balzani, Daniel
4 Holzapfel, Gerhard Alfred
4 Korobeĭnikov, Sergeĭ Nikolaevich
4 Peña, Estefanía
4 Reese, Stefanie
4 Rubin, Miles B.
4 Schröder, Jörg
4 Sun, WaiChing
4 Wriggers, Peter
3 Başar, Yavuz
3 Brank, Boštjan
3 Brummund, Jörg
3 Cyron, Christian Johannes
3 Dui, Guansuo
3 Golgoon, Ashkan
3 Hartmann, Stefan
3 Johansson, Göran
3 Kalina, Karl A.
3 Kästner, Markus
3 Kreißig, Reiner
3 Kuhl, Ellen
3 Kulikov, Gennady M.
3 Martínez-Frutos, Jesús
3 Meschke, Günther
3 Mosler, Jörn
3 Rudykh, Stephan
3 Sansour, Carlo
3 Sauer, Roger A.
3 Saxena, Prashant
3 Sharma, Basant Lal
3 Šilhavý, Miroslav
3 Weeger, Oliver
3 Yavari, Arash
2 Abali, Bilen Emek
2 Abdolazizi, Kian P.
2 Altenbach, Holm
2 Amabili, Marco
2 Arora, Nitesh
2 Aydin, Roland Can
2 Bargmann, Swantje
2 Boisse, Philippe
2 Böl, Markus
2 Bouklas, Nikolaos
2 Brieu, Mathias
2 Bruhns, Otto Timme
2 Bryant, Eric C.
2 Ciambella, Jacopo
2 Dai, Hui-Hui
2 Doblaré, Manuel
2 Ebbing, V.
2 Ekh, Magnus
2 Federico, Salvatore
2 Fernández, Mauricio
2 Flynn, Cormac
2 Giantesio, Giulia
2 Gruttmann, Friedrich
2 Guo, Theron
2 Hackl, Klaus
2 Hillgärtner, Markus
2 Horgan, Cornelius Oliver
2 Hörnes, Karl
2 Hossain, Mokarram
2 Indelicato, Giuliana
2 Karšaj, Igor
2 Kassab, Ghassan S.
2 Kiendl, Josef
2 Kumar, Ajeet
2 Labed, Nadia
2 Linden, Lennart
2 Liu, Yi
2 Mackerle, Jaroslav
2 Madeo, Angela
2 Mahnken, Rolf
2 Marín, Francisco J.
2 Mejak, George
2 Merodio, Jose
2 Mousavi, Mehdi S.
2 Murphy, Jeremiah G.
2 Musesti, Alessandro
2 Nazarenko, Lidiia
2 Neff, Patrizio
2 Ortiz, Michael
2 Peyraut, François
2 Plotnikova, Svetlana V.
2 Reali, Alessandro
2 Röhrle, Oliver
2 Rokoš, Ondřej
2 Sendov, Hristo S.
2 Singh, Raushan
2 Śloderbach, Zdzisław
...and 423 more Authors
all top 5

Cited in 61 Serials

62 Computer Methods in Applied Mechanics and Engineering
22 International Journal for Numerical Methods in Engineering
21 Mathematics and Mechanics of Solids
19 Computational Mechanics
15 Acta Mechanica
15 Journal of Elasticity
15 European Journal of Mechanics. A. Solids
8 Journal of the Mechanics and Physics of Solids
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 International Journal of Engineering Science
6 Applied Mathematical Modelling
6 Journal of Theoretical Biology
5 International Journal of Solids and Structures
5 Journal of Computational Physics
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Linear and Multilinear Algebra
4 Archive of Applied Mechanics
4 Continuum Mechanics and Thermodynamics
3 International Journal of Plasticity
3 Engineering Computations
2 Journal of Engineering Mathematics
2 Journal of Fluid Mechanics
2 Meccanica
2 Mechanics Research Communications
2 Applied Mathematics and Mechanics. (English Edition)
2 Lobachevskii Journal of Mathematics
2 Archives of Computational Methods in Engineering
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Archive for Rational Mechanics and Analysis
1 Indian Journal of Pure & Applied Mathematics
1 Physica A
1 Physics Letters. B
1 Applied Mathematics and Computation
1 Quarterly of Applied Mathematics
1 Bulletin of the Iranian Mathematical Society
1 Applied Numerical Mathematics
1 SIAM Journal on Matrix Analysis and Applications
1 Applications of Mathematics
1 Russian Mathematics
1 Calculus of Variations and Partial Differential Equations
1 Computational and Applied Mathematics
1 Bernoulli
1 Discrete Dynamics in Nature and Society
1 Optimization and Engineering
1 Mathematical Biosciences and Engineering
1 Oberwolfach Reports
1 Science in China. Series G
1 Waves in Random and Complex Media
1 Inverse Problems in Science and Engineering
1 GAMM-Mitteilungen
1 Computational & Mathematical Methods in Medicine
1 Communications in Computational Physics
1 Electronic Journal of Statistics
1 Banach Journal of Mathematical Analysis
1 Kinetic and Related Models
1 International Journal for Numerical Methods in Biomedical Engineering
1 International Journal of Structural Stability and Dynamics
1 Communications in Applied and Industrial Mathematics
1 Mathematics and Mechanics of Complex Systems
1 Journal of Function Spaces
1 Mechanics of Solids

Citations by Year