Edit Profile (opens in new tab) Balzani, Daniel Co-Author Distance Author ID: balzani.daniel Published as: Balzani, Daniel; Balzani, D. Documents Indexed: 41 Publications since 2004, including 6 Additional arXiv Preprints Co-Authors: 48 Co-Authors with 40 Joint Publications 936 Co-Co-Authors all top 5 Co-Authors 0 single-authored 19 Schröder, Jörg 5 Brands, Dominik 5 Riesselmann, Johannes 4 Tanaka, Masato 3 Holzapfel, Gerhard Alfred 3 Klawonn, Axel 3 Köhler, Maximilian 3 Miska, Niklas 3 Rheinbach, Oliver 2 Fujikawa, Masaki 2 Gross, Dietmar 2 Heinlein, Alexander 2 Junker, Philipp 2 Ketteler, Jonas Wilhelm 2 Neff, Patrizio 2 Neumeier, Timo 2 Peter, Malte Andreas 2 Peterseim, Daniel 2 Schedensack, Mira 2 Scheunemann, Lisa 2 Wriggers, Peter 1 Brinkhues, Sarah 1 Edler, Philipp 1 Fausten, Simon 1 Freitag, Steffen 1 Gandhi, Ashutosh 1 Graf, Wolfgang 1 Gruttmann, Friedrich 1 Kaliske, Michael 1 Knepper, Jascha 1 Kremer, Katharina 1 Leichsenring, Ferenc 1 Melchior, Jan 1 Meschke, Günther 1 Muench, Stefan 1 Ogiermann, Dennis 1 Omote, Ryuji 1 Ortiz, Michael 1 Perotti, Luigi E. 1 Ramesh, Sharan Nurani 1 Roellig, Mike 1 Sasagawa, Takashi 1 Sassmannshausen, Lea 1 Tamsen, Erik 1 Uhlmann, Klemens 1 Viebahn, Nils 1 Wingender, Dennis 1 Zahn, Anna all top 5 Serials 8 Computer Methods in Applied Mechanics and Engineering 8 Computational Mechanics 3 PAMM. Proceedings in Applied Mathematics and Mechanics 2 International Journal of Solids and Structures 2 International Journal for Numerical Methods in Engineering 2 Archive of Applied Mechanics 2 GAMM-Mitteilungen 1 Acta Mechanica 1 Mathematics and Mechanics of Solids 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 International Journal for Uncertainty Quantification Fields 36 Mechanics of deformable solids (74-XX) 7 Numerical analysis (65-XX) 7 Biology and other natural sciences (92-XX) 2 Statistics (62-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 355 times in 230 Documents Cited by ▼ Year ▼ A polyconvex framework for soft biological tissues. Adjustment to experimental data. Zbl 1120.74632 Balzani, D.; Neff, P.; Schröder, J.; Holzapfel, G. A. 88 2006 A variational approach for materially stable anisotropic hyperelasticity. Zbl 1119.74321 Schröder, J.; Neff, P.; Balzani, D. 64 2005 A new mixed finite element based on different approximations of the minors of deformation tensors. Zbl 1239.74012 Schröder, Jörg; Wriggers, Peter; Balzani, Daniel 36 2011 Constitutive framework for the modeling of damage in collagenous soft tissues with application to arterial walls. Zbl 1243.74119 Balzani, Daniel; Brinkhues, Sarah; Holzapfel, Gerhard A. 22 2012 Robust numerical calculation of tangent moduli at finite strains based on complex-step derivative approximation and its application to localization analysis. Zbl 1296.74129 Tanaka, Masato; Fujikawa, Masaki; Balzani, Daniel; Schröder, Jörg 19 2014 A highly accurate 1st- and 2nd-order differentiation scheme for hyperelastic material models based on hyper-dual numbers. Zbl 1423.74922 Tanaka, Masato; Sasagawa, Takashi; Omote, Ryuji; Fujikawa, Masaki; Balzani, Daniel; Schröder, Jörg 16 2015 Construction of two- and three-dimensional statistically similar RVEs for coupled micro-macro simulations. Zbl 1311.74109 Balzani, D.; Scheunemann, L.; Brands, D.; Schröder, J. 15 2014 Approximation of random microstructures by periodic statistically similar representative volume elements based on lineal-path functions. Zbl 1271.74056 Schröder, Jörg; Balzani, Daniel; Brands, Dominik 15 2011 A novel mixed finite element for finite anisotropic elasticity: the SKA-element simplified kinematics for anisotropy. Zbl 1439.74086 Schröder, Jörg; Viebahn, Nils; Balzani, Daniel; Wriggers, Peter 15 2016 Relaxed incremental variational formulation for damage at large strains with application to fiber-reinforced materials and materials with truss-like microstructures. Zbl 1352.74067 Balzani, Daniel; Ortiz, Michael 12 2012 Analysis of thin shells using anisotropic polyconvex energy densities. Zbl 1169.74475 Balzani, Daniel; Gruttmann, Friedrich; Schröder, Jörg 11 2008 Implementation of incremental variational formulations based on the numerical calculation of derivatives using hyper dual numbers. Zbl 1425.74492 Tanaka, Masato; Balzani, Daniel; Schröder, Jörg 8 2016 Numerical calculation of thermo-mechanical problems at large strains based on complex step derivative approximation of tangent stiffness matrices. Zbl 1329.74068 Balzani, Daniel; Gandhi, Ashutosh; Tanaka, Masato; Schröder, Jörg 7 2015 Statistical approach for a continuum description of damage evolution in soft collagenous tissues. Zbl 1423.74632 Schmidt, Thomas; Balzani, Daniel; Holzapfel, Gerhard A. 5 2014 Construction of statistically similar representative volume elements. Zbl 1291.74189 Balzani, Daniel; Brands, Dominik; Schröder, Jörg 3 2014 Quantification of uncertain macroscopic material properties resulting from variations of microstructure morphology based on statistically similar volume elements: application to dual-phase steel microstructures. Zbl 1468.74050 Miska, Niklas; Balzani, Daniel 3 2019 On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies. Zbl 1271.74314 Balzani, D.; Brands, D.; Klawonn, A.; Rheinbach, O.; Schröder, J. 3 2010 Robust and efficient finite element discretizations for higher-order gradient formulations. Zbl 1505.74202 Riesselmann, Johannes; Ketteler, Jonas Wilhelm; Schedensack, Mira; Balzani, Daniel 3 2022 Construction of statistically similar RVEs. Zbl 1403.74078 Scheunemann, Lisa; Balzani, Daniel; Brands, Dominik; Schröder, Jörg 2 2015 A new variational approach for the thermodynamic topology optimization of hyperelastic structures. Zbl 07360513 Junker, Philipp; Balzani, Daniel 2 2021 Some basic ideas for the reconstruction of statistically similar microstructures for multiscale simulations. Zbl 1393.74243 Balzani, Daniel; Schröder, Jörg 2 2008 Comparative analysis of damage functions for soft tissues: properties at damage initialization. Zbl 1327.74013 Balzani, D.; Schmidt, T. 1 2015 An algorithmic scheme for the automated calculation of fiber orientations in arterial walls. Zbl 1398.74025 Fausten, Simon; Balzani, Daniel; Schröder, Jörg 1 2016 A simple model for anisotropic damage with applications to soft tissues. Zbl 1354.74143 Balzani, Daniel; Schröder, Jörg; Gross, Dietmar 1 2004 A combined growth and remodeling framework for the approximation of residual stresses in arterial walls. Zbl 07804240 Zahn, Anna; Balzani, Daniel 1 2018 Robust and efficient finite element discretizations for higher-order gradient formulations. Zbl 1505.74202 Riesselmann, Johannes; Ketteler, Jonas Wilhelm; Schedensack, Mira; Balzani, Daniel 3 2022 A new variational approach for the thermodynamic topology optimization of hyperelastic structures. Zbl 07360513 Junker, Philipp; Balzani, Daniel 2 2021 Quantification of uncertain macroscopic material properties resulting from variations of microstructure morphology based on statistically similar volume elements: application to dual-phase steel microstructures. Zbl 1468.74050 Miska, Niklas; Balzani, Daniel 3 2019 A combined growth and remodeling framework for the approximation of residual stresses in arterial walls. Zbl 07804240 Zahn, Anna; Balzani, Daniel 1 2018 A novel mixed finite element for finite anisotropic elasticity: the SKA-element simplified kinematics for anisotropy. Zbl 1439.74086 Schröder, Jörg; Viebahn, Nils; Balzani, Daniel; Wriggers, Peter 15 2016 Implementation of incremental variational formulations based on the numerical calculation of derivatives using hyper dual numbers. Zbl 1425.74492 Tanaka, Masato; Balzani, Daniel; Schröder, Jörg 8 2016 An algorithmic scheme for the automated calculation of fiber orientations in arterial walls. Zbl 1398.74025 Fausten, Simon; Balzani, Daniel; Schröder, Jörg 1 2016 A highly accurate 1st- and 2nd-order differentiation scheme for hyperelastic material models based on hyper-dual numbers. Zbl 1423.74922 Tanaka, Masato; Sasagawa, Takashi; Omote, Ryuji; Fujikawa, Masaki; Balzani, Daniel; Schröder, Jörg 16 2015 Numerical calculation of thermo-mechanical problems at large strains based on complex step derivative approximation of tangent stiffness matrices. Zbl 1329.74068 Balzani, Daniel; Gandhi, Ashutosh; Tanaka, Masato; Schröder, Jörg 7 2015 Construction of statistically similar RVEs. Zbl 1403.74078 Scheunemann, Lisa; Balzani, Daniel; Brands, Dominik; Schröder, Jörg 2 2015 Comparative analysis of damage functions for soft tissues: properties at damage initialization. Zbl 1327.74013 Balzani, D.; Schmidt, T. 1 2015 Robust numerical calculation of tangent moduli at finite strains based on complex-step derivative approximation and its application to localization analysis. Zbl 1296.74129 Tanaka, Masato; Fujikawa, Masaki; Balzani, Daniel; Schröder, Jörg 19 2014 Construction of two- and three-dimensional statistically similar RVEs for coupled micro-macro simulations. Zbl 1311.74109 Balzani, D.; Scheunemann, L.; Brands, D.; Schröder, J. 15 2014 Statistical approach for a continuum description of damage evolution in soft collagenous tissues. Zbl 1423.74632 Schmidt, Thomas; Balzani, Daniel; Holzapfel, Gerhard A. 5 2014 Construction of statistically similar representative volume elements. Zbl 1291.74189 Balzani, Daniel; Brands, Dominik; Schröder, Jörg 3 2014 Constitutive framework for the modeling of damage in collagenous soft tissues with application to arterial walls. Zbl 1243.74119 Balzani, Daniel; Brinkhues, Sarah; Holzapfel, Gerhard A. 22 2012 Relaxed incremental variational formulation for damage at large strains with application to fiber-reinforced materials and materials with truss-like microstructures. Zbl 1352.74067 Balzani, Daniel; Ortiz, Michael 12 2012 A new mixed finite element based on different approximations of the minors of deformation tensors. Zbl 1239.74012 Schröder, Jörg; Wriggers, Peter; Balzani, Daniel 36 2011 Approximation of random microstructures by periodic statistically similar representative volume elements based on lineal-path functions. Zbl 1271.74056 Schröder, Jörg; Balzani, Daniel; Brands, Dominik 15 2011 On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies. Zbl 1271.74314 Balzani, D.; Brands, D.; Klawonn, A.; Rheinbach, O.; Schröder, J. 3 2010 Analysis of thin shells using anisotropic polyconvex energy densities. Zbl 1169.74475 Balzani, Daniel; Gruttmann, Friedrich; Schröder, Jörg 11 2008 Some basic ideas for the reconstruction of statistically similar microstructures for multiscale simulations. Zbl 1393.74243 Balzani, Daniel; Schröder, Jörg 2 2008 A polyconvex framework for soft biological tissues. Adjustment to experimental data. Zbl 1120.74632 Balzani, D.; Neff, P.; Schröder, J.; Holzapfel, G. A. 88 2006 A variational approach for materially stable anisotropic hyperelasticity. Zbl 1119.74321 Schröder, J.; Neff, P.; Balzani, D. 64 2005 A simple model for anisotropic damage with applications to soft tissues. Zbl 1354.74143 Balzani, Daniel; Schröder, Jörg; Gross, Dietmar 1 2004 all cited Publications top 5 cited Publications all top 5 Cited by 427 Authors 25 Balzani, Daniel 25 Gil, Antonio J. 23 Ortigosa, Rogelio 21 Schröder, Jörg 11 Tanaka, Masato 9 Bonet, Javier 9 Gross, Michael B. 9 Wriggers, Peter 8 Dietzsch, Julian 7 Betsch, Peter 7 Holzapfel, Gerhard Alfred 7 Neff, Patrizio 7 Rheinbach, Oliver 6 Klawonn, Axel 6 Lee, Chun Hean 5 Franke, Marlon 5 Martínez-Frutos, Jesús 5 Menzel, Andreas M. 4 Eidel, Bernhard 4 Fujii, Fumio 4 Fujikawa, Masaki 4 Heinlein, Alexander 4 Madeo, Angela 4 Rachowicz, Waldemar 4 Zdunek, Adam 3 Augustin, Christoph M. 3 Boisse, Philippe 3 Brands, Dominik 3 Fischer, Andreas 3 Ghiba, Ionel-Dumitrel 3 Janz, Alexander 3 Junker, Philipp 3 Kaliske, Michael 3 Omote, Ryuji 3 Poya, Roman 3 Reese, Stefanie 3 Riesselmann, Johannes 3 Sasagawa, Takashi 3 Viebahn, Nils 3 Wall, Wolfgang A. 3 Wick, Thomas 2 Aguirre, Miquel 2 Arya, Kriti 2 Auricchio, Ferdinando 2 Bacciocchi, Michele 2 Barbagallo, Gabriele 2 Bartels, Alexander 2 Bartelt, Matthias 2 Brinkhues, Sarah 2 Cai, Xiao-Chuan 2 Dal, Hüsnü 2 dell’Isola, Francesco 2 Doškář, Martin 2 Du, Xiuli 2 Ebbing, V. 2 Ferretti, Manuel 2 Fischer, Julian 2 Garcia-Blanco, Emilio 2 Gong, Shihua 2 Gruttmann, Friedrich 2 Guilleminot, Johann 2 Gültekin, Osman 2 Haase, Gundolf 2 Hesch, Christian 2 Hudobivnik, Blaž 2 Imoto, Yusuke 2 Jabareen, Mahmood 2 Karabelas, Elias 2 Klein, Dominik K. 2 Kružík, Martin 2 Labed, Nadia 2 Lankeit, Johannes 2 Lanser, Martin 2 Larsson, Fredrik 2 Lu, Dechun 2 Mang, Katrin 2 Marín, Francisco J. 2 Martin, Robert J. 2 Miska, Niklas 2 Mitsume, Naoto 2 Montáns, Francisco-Javier 2 Mosler, Jörn 2 Novák, Jan 2 Ortiz, Michael 2 Peyraut, François 2 Pimenta, Paulo M. 2 Plank, Gernot 2 Quarteroni, Alfio M. 2 Röbiger, Chris 2 Röhrle, Oliver 2 Runesson, Kenneth 2 Sarangi, Somnath 2 Scheunemann, Lisa 2 Schwarz, Alexander 2 Sevilla, Ruben 2 Steeger, Karl 2 Sun, WaiChing 2 Tarantino, Angelo Marcello 2 Taylor, Robert Leroy 2 von Hoegen, Markus ...and 327 more Authors all top 5 Cited in 42 Serials 82 Computer Methods in Applied Mechanics and Engineering 39 Computational Mechanics 13 International Journal for Numerical Methods in Engineering 10 European Journal of Mechanics. A. Solids 6 Acta Mechanica 5 Journal of Elasticity 5 Archive of Applied Mechanics 5 Mathematics and Mechanics of Solids 4 Journal of the Mechanics and Physics of Solids 4 Archives of Computational Methods in Engineering 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Computers & Mathematics with Applications 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Archive for Rational Mechanics and Analysis 2 Journal of Computational Physics 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 SIAM Journal on Scientific Computing 2 GAMM-Mitteilungen 1 International Journal of Engineering Science 1 International Journal of Plasticity 1 International Journal of Solids and Structures 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Physica A 1 Applied Mathematics and Computation 1 Meccanica 1 Mechanics Research Communications 1 Acta Applicandae Mathematicae 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Continuum Mechanics and Thermodynamics 1 Engineering Analysis with Boundary Elements 1 Acta Numerica 1 Mathematical Biosciences and Engineering 1 Oberwolfach Reports 1 International Journal for Numerical Methods in Biomedical Engineering 1 Journal of Theoretical Biology 1 JSIAM Letters all top 5 Cited in 20 Fields 209 Mechanics of deformable solids (74-XX) 67 Numerical analysis (65-XX) 36 Biology and other natural sciences (92-XX) 15 Partial differential equations (35-XX) 11 Fluid mechanics (76-XX) 7 Statistical mechanics, structure of matter (82-XX) 3 Real functions (26-XX) 3 Optics, electromagnetic theory (78-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Citations by Year