Edit Profile (opens in new tab) Itskov, Mikhail Co-Author Distance Author ID: 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 all top 5 Co-Authors 16 single-authored 7 Başar, Yavuz 7 Ehret, Alexander E. 6 Aksel, Nuri 5 Dargazany, Roozbeh 3 Hillgärtner, Markus 2 Hörnes, Karl 2 Linka, Kevin 2 Weinhold, Georg W. 1 Abdolazizi, Kian P. 1 Abdusalamov, Rasul 1 Aydin, Roland Can 1 Azikri de Deus, Hilbeth P. 1 Barbosa Pinto Silva, Thales A. 1 Böl, Markus 1 Cyron, Christian Johannes 1 Duong, Thang X. 1 Eckstein, Andreas 1 Hanskötter, Ulrike 1 Kazakevičiūtė-Makovska, Rasa 1 Khiêm, Vu Ngoc 1 Krätzig, Wilfried B. 1 Sauer, Roger A. 1 Vu Ngoc Khiêm 1 Waluyo, Sugeng all top 5 Serials 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 International Journal for Numerical Methods in Engineering 5 PAMM. Proceedings in Applied Mathematics and Mechanics 4 International Journal of Solids and Structures 4 Mathematics and Mechanics of Solids 3 Computer Methods in Applied Mechanics and Engineering 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Applied Mathematics and Computation 2 Computational Mechanics 2 GAMM-Mitteilungen 2 Mathematical Engineering 1 Acta Mechanica 1 International Journal of Plasticity 1 Journal of Computational Physics 1 Journal of the Mechanics and Physics of Solids 1 Mechanics Research Communications 1 Archive of Applied Mechanics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences all top 5 Fields 38 Mechanics of deformable solids (74-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 7 Differential geometry (53-XX) 6 General and overarching topics; collections (00-XX) 3 Numerical analysis (65-XX) 3 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 22 Fields 249 Mechanics of deformable solids (74-XX) 33 Biology and other natural sciences (92-XX) 32 Numerical analysis (65-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 14 Computer science (68-XX) 13 Fluid mechanics (76-XX) 8 Differential geometry (53-XX) 7 Partial differential equations (35-XX) 5 Statistics (62-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year