Edit Profile (opens in new tab) Schröder, Jörg Co-Author Distance Author ID: schroder.jorg Published as: Schröder, Jörg; Schröder, J. Homepage: https://www.uni-due.de/mechanika/personen_joerg_schroeder.shtml External Links: MGP · ORCID · dblp Documents Indexed: 130 Publications since 1994, including 18 Books and 3 Additional arXiv Preprints 10 Contributions as Editor Co-Authors: 80 Co-Authors with 125 Joint Publications 1,778 Co-Co-Authors all top 5 Co-Authors 5 single-authored 22 Gross, Dietmar 20 Miehe, Christian 19 Balzani, Daniel 16 Schwarz, Alexander 14 Hauger, Werner 13 Wriggers, Peter 12 Wall, Wolfgang A. 11 Neff, Patrizio 10 Brands, Dominik 9 Keip, Marc-André 7 Muller, Ralf 6 Romanowski, Holger 6 Starke, Gerhard 6 Viebahn, Nils 5 Igelbüscher, Maximilian 5 Löblein, Joachim 5 Scheunemann, Lisa 5 Schotte, Jan 5 Tanaka, Masato 4 Bayreuther, Claus G. 4 Ehlers, Wolfgang 4 Rheinbach, Oliver 4 Sarhil, Mohammad 4 Steeger, Karl 3 Averweg, Solveigh 3 Ebbing, V. 3 Klawonn, Axel 3 Labusch, Matthias 3 Lupascu, Doru C. 3 Maassen, Sascha Florian 3 Pimenta, Paulo M. 3 Reichel, Maximilian 2 Allix, Olivier 2 Birk, Carolin 2 Bluhm, Joachim 2 Carstensen, Carsten 2 da Costa e Silva, Cátia 2 de Mattos Pimenta, Paulo 2 Fujikawa, Masaki 2 Govindjee, Sanjay 2 Gruttmann, Friedrich 2 Kiefer, Björn 2 Klaas, Ottmar 2 Niekamp, Rainer 2 Niemann, Johanna 2 Nisters, Carina 2 Schrade, David 2 Stein, Erwin 2 Svendsen, Bob 2 von Hoegen, Markus 2 Werner, Ewald A. 2 Wick, Thomas 1 Auricchio, Ferdinando 1 Becker, Martin 1 Bharech, Somnath 1 Bonet, Javier 1 Brändel, Matthias 1 Brinkhues, Sarah 1 Buffa, Annalisa 1 Costa e Silva, Cátia 1 Eidel, Bernhard 1 Etier, Morad 1 Fausten, Simon 1 Fujii, Fumio 1 Gandhi, Ashutosh 1 Gebuhr, G. 1 Heinlein, Alexander 1 Hilgert, Oliver 1 Holzapfel, Gerhard Alfred 1 Kraus, Alex 1 Kurzhöfer, Ingo 1 Lewintan, Peter 1 Lin, Binbin 1 Linder, Christian 1 Maike, Simon 1 Matsubara, Seishiro 1 Müller, Benjamin 1 Omote, Ryuji 1 Pise, M. 1 Rajapakse, Nimal 1 Sasagawa, Takashi 1 Schwarz, Carina 1 Serdas, S. 1 Shchyglo, Oleg 1 Steinbach, Ingo 1 Steinmann, Paul 1 Stoyan, Dietrich Kurt 1 Stumpf, Felipe 1 Xu, Baixiang 1 Yang, Yangyiwei 1 Zhang, Hongbin 1 Zhou, Xiandong all top 5 Serials 21 Computational Mechanics 20 Computer Methods in Applied Mechanics and Engineering 14 PAMM. Proceedings in Applied Mathematics and Mechanics 13 Springer-Lehrbuch 10 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 8 Archive of Applied Mechanics 8 GAMM-Mitteilungen 5 International Journal for Numerical Methods in Engineering 3 International Journal of Solids and Structures 3 CISM International Centre for Mechanical Sciences. Courses and Lectures 2 Acta Mechanica 2 Oberwolfach Reports 1 Journal of the Mechanics and Physics of Solids 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Scientific Computing 1 Lecture Notes in Applied and Computational Mechanics 1 European Mathematical Society Magazine all top 5 Fields 112 Mechanics of deformable solids (74-XX) 21 Numerical analysis (65-XX) 15 General and overarching topics; collections (00-XX) 13 Mechanics of particles and systems (70-XX) 8 Fluid mechanics (76-XX) 6 Optics, electromagnetic theory (78-XX) 6 Biology and other natural sciences (92-XX) 4 Partial differential equations (35-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 1,128 times in 700 Documents Cited by ▼ Year ▼ Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials. Zbl 0982.74068 Miehe, Christian; Schröder, Jörg; Schotte, Jan 178 1999 Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions. Zbl 1033.74005 Schröder, Jörg; Neff, Patrizio 129 2003 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 Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction. Zbl 1099.74517 Miehe, Christian; Schröder, Jörg; Becker, Martin 50 2002 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 Two-scale homogenization of electromechanically coupled boundary value problems. Zbl 1398.74106 Schröder, Jörg; Keip, Marc-André 34 2012 Two-scale computational homogenization of electro-elasticity at finite strains. Zbl 1423.74788 Keip, Marc-André; Steinmann, Paul; Schröder, Jörg 33 2014 A numerical two-scale homogenization scheme: the \(\mathrm{FE}^{2}\)-method. Zbl 1291.74153 Schröder, Jörg 33 2014 Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors. Zbl 1171.74356 Schröder, J.; Neff, P.; Ebbing, V. 33 2008 A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity. Zbl 1006.74091 Miehe, Christian; Schröder, Jörg 26 2001 A simple orthotropic finite elasto-plasticity model based on generalized stress-strain measures. Zbl 1058.74025 Schröder, J.; Gruttmann, F.; Löblein, J. 24 2002 Invariant formulation of the electromechanical enthalpy function on transversely isotropic piezoelectric materials. Zbl 1145.74348 Schröder, J.; Gross, D. 22 2004 A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate-invariant setting. Zbl 1158.74344 Schröder, J.; Romanowski, H. 21 2005 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 Algorithmic two-scale transition for magneto-electro-mechanically coupled problems, FE \({}^2\)-scheme: localization and homogenization. Zbl 1425.74393 Schröder, Jörg; Labusch, Matthias; Keip, Marc-André 18 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 Post-critical discontinuous localization analysis of small-strain softening elastoplastic solids. Zbl 0816.73011 Miehe, C.; Schröder, J. 16 1994 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 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 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 Energy and momentum conserving elastodynamics of a nonlinear brick-type mixed finite shell element. Zbl 0977.74063 Miehe, Christian; Schröder, Jörg 13 2001 On the homogenization analysis of composite materials based on discretized fluctations on the micro-structure. Zbl 1008.74070 Miehe, C.; Schröder, J.; Bayreuther, C. 12 2002 Least-squares mixed finite elements for small strain elasto-viscoplasticity. Zbl 1156.74386 Schwarz, A.; Schröder, J.; Starke, G. 12 2009 A first-order system least squares method for hyperelasticity. Zbl 1429.74090 Müller, Benjamin; Starke, Gerhard; Schwarz, Alexander; Schröder, Jörg 12 2014 A finite element method for contact using a third medium. Zbl 1311.74130 Wriggers, P.; Schröder, J.; Schwarz, A. 12 2013 A regularized dual mixed element for plane elasticity. Implementation and performance of the BDM element. Zbl 0852.73065 Klaas, Ottmar; Schröder, Jörg; Stein, Erwin; Miehe, Christian 11 1995 Analysis of thin shells using anisotropic polyconvex energy densities. Zbl 1169.74475 Balzani, Daniel; Gruttmann, Friedrich; Schröder, Jörg 11 2008 A simple finite element for the geometrically exact analysis of Bernoulli-Euler rods. Zbl 1468.74061 da Costa e Silva, Cátia; Maassen, Sascha F.; Pimenta, Paulo M.; Schröder, Jörg 11 2020 A modified least-squares mixed finite element with improved momentum balance. Zbl 1183.74314 Schwarz, A.; Schröder, J.; Starke, G. 11 2010 On the construction of polyconvex anisotropic free energy functions. Zbl 1037.74005 Schröder, J.; Neff, P. 11 2003 Analysis of a modified first-order system least squares method for linear elasticity with improved momentum balance. Zbl 1237.74190 Starke, Gerhard; Schwarz, Alexander; Schröder, Jörg 10 2011 Weighted overconstrained least-squares mixed finite elements for static and dynamic problems in quasi-incompressible elasticity. Zbl 1311.74017 Schwarz, Alexander; Steeger, Karl; Schröder, Jörg 10 2014 A novel scheme for the approximation of residual stresses in arterial walls. Zbl 1338.74088 Schröder, Jörg; Brinkhues, Sarah 9 2014 Product properties of a two-phase magneto-electric composite: synthesis and numerical modeling. Zbl 1398.74102 Labusch, Matthias; Etier, Morad; Lupascu, Doru C.; Schröder, Jörg; Keip, Marc-André 9 2014 On the stability analysis of hyperelastic boundary value problems using three- and two-field mixed finite element formulations. Zbl 1386.74141 Schröder, Jörg; Viebahn, Nils; Wriggers, Peter; Auricchio, Ferdinando; Steeger, Karl 8 2017 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 A simple triangular finite element for nonlinear thin shells: statics, dynamics and anisotropy. Zbl 1398.74416 Viebahn, Nils; Pimenta, Paulo M.; Schröder, Jörg 7 2017 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 Approximation of anisotropic elasticity tensors at the reference state with polyconvex energies. Zbl 1264.74011 Ebbing, V.; Schröder, J.; Neff, P. 7 2009 The exponentiated Hencky energy: anisotropic extension and case studies. Zbl 1457.74028 Schröder, Jörg; von Hoegen, Markus; Neff, Patrizio 5 2018 A simple and efficient Hellinger-Reissner type mixed finite element for nearly incompressible elasticity. Zbl 1440.74447 Viebahn, Nils; Steeger, Karl; Schröder, Jörg 5 2018 A Prange-Hellinger-Reissner type finite element formulation for small strain elasto-plasticity. Zbl 1439.74067 Schröder, Jörg; Igelbüscher, Maximilian; Schwarz, Alexander; Starke, Gerhard 5 2017 Coordinate-invariant phase field modeling of ferro-electrics. I: Model formulation and single-crystal simulations. Zbl 1525.74062 Schrade, D.; Keip, M.-A.; Thai, H.; Schröder, J.; Svendsen, B.; Müller, R.; Gross, D. 5 2015 Phase-field modeling of fracture in high performance concrete during low-cycle fatigue: numerical calibration and experimental validation. Zbl 1507.74416 Schröder, J.; Pise, M.; Brands, D.; Gebuhr, G.; Anders, S. 5 2022 A physically nonlinear dual mixed finite element formulation. Zbl 0892.73071 Schröder, J.; Klaas, O.; Stein, Erwin; Miehe, C. 4 1997 Coordinate invariant modelling of the ferroelectric hysteresis within a thermodynamically consistent framework. A mesoscopic approach. Zbl 1084.74020 Romanowski, Holger; Schröder, Jörg 4 2005 Plasticity and beyond. Microstructures, crystal-plasticity and phase transitions. Papers based on the presentations at the CISM course, Udine, Italy, June 27 – July 1, 2011. Zbl 1277.74003 4 2014 Finite strain viscoelasticity: how to consistently couple discretizations in time and space on quadrature-point level for full order \(p\geq 2\) and a considerable speed-up. Zbl 1282.74020 Eidel, Bernhard; Stumpf, Felipe; Schröder, Jörg 4 2013 Least-squares mixed finite element formulations for isotropic and anisotropic elasticity at small and large strains. Zbl 1354.74299 Schröder, Jörg; Schwarz, Alexander; Steeger, Karl 4 2016 Lagrange and \(H(\mathrm{curl}, \mathcal{B})\) based finite element formulations for the relaxed micromorphic model. Zbl 1509.74048 Schröder, Jörg; Sarhil, Mohammad; Scheunemann, Lisa; Neff, Patrizio 4 2022 An engineering tool to estimate eigenstresses in three-dimensional patient-specific arteries. Zbl 1436.74043 Schröder, Jörg; von Hoegen, Markus 4 2016 Construction of statistically similar representative volume elements. Zbl 1291.74189 Balzani, Daniel; Brands, Dominik; Schröder, Jörg 3 2014 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 Coordinate-invariant phase field modeling of ferro-electrics. II: Application to composites and poly-crystals. Zbl 1525.74058 Keip, M.-A.; Schrade, D.; Thai, H.; Schröder, J.; Svendsen, B.; Müller, R.; Gross, D. 3 2015 Advanced finite element technologies. Zbl 1348.65008 3 2016 Engineering mechanics 2. Mechanics of materials. Zbl 1217.74001 Gross, Dietmar; Hauger, Werner; Schröder, Jörg; Wall, Wolfgang A.; Bonet, Javier 3 2011 Simulation of polycrystalline ferroelectrics based on discrete orientation distribution functions. Zbl 1391.74080 Kurzhöfer, Ingo; Schröder, Jörg; Romanowski, Holger 2 2005 Texture simulations of polycrystalline materials. Zbl 0942.74545 Miehe, C.; Schröder, J.; Schotte, J. 2 1999 Construction of statistically similar RVEs. Zbl 1403.74078 Scheunemann, Lisa; Balzani, Daniel; Brands, Dominik; Schröder, Jörg 2 2015 Some basic ideas for the reconstruction of statistically similar microstructures for multiscale simulations. Zbl 1393.74243 Balzani, Daniel; Schröder, Jörg 2 2008 A concept for the extension of the assumed stress finite element method to hyperelasticity. Zbl 1445.74053 Viebahn, Nils; Schröder, Jörg; Wriggers, Peter 2 2020 An efficient numerical scheme for the FE-approximation of magnetic stray fields in infinite domains. Zbl 1492.78020 Schröder, Jörg; Reichel, Maximilian; Birk, Carolin 2 2022 An algorithmic scheme for the automated calculation of fiber orientations in arterial walls. Zbl 1398.74025 Fausten, Simon; Balzani, Daniel; Schröder, Jörg 1 2016 Aspects of homogenization techniques and multigrid solving. Zbl 0997.74047 Bayreuther, C. G.; Miehe, C.; Schröder, J. 1 2000 A geometric nonlinear triangular finite element with an embedded discontinuity for the simulation of quasi-brittle fracture. Zbl 1102.74044 Schröder, J.; Löblein, J. 1 2005 Technical mechanics. Vol. 2: Elastostatics. 10th revised ed. (Technische Mechanik. Bd. 2: Elastostatik.) Zbl 1170.74001 Gross, Dietmar; Hauger, Werner; Schröder, Jörg; Wall, Wolfgang 1 2009 A simple model for anisotropic damage with applications to soft tissues. Zbl 1354.74143 Balzani, Daniel; Schröder, Jörg; Gross, Dietmar 1 2004 A thermodynamic consistent model for an assumed transversely isotropic piezoceramic with nonlinear ferroelectric hysteresis. Zbl 1354.74072 Romanowski, H.; Schröder, J. 1 2004 Aspects of computational modeling of discontinuities with enriched triangular finite elements. Zbl 1354.74285 Löblein, J.; Schröder, J. 1 2003 A surrogate model for the prediction of permeabilities and flow through porous media: a machine learning approach based on stochastic Brownian motion. Zbl 1524.76464 Niekamp, Rainer; Niemann, Johanna; Schröder, Jörg 1 2023 Special issue on phase field approaches to fracture: in memory of Professor Christian Miehe (1956–2016). Zbl 1439.74355 1 2016 Thermodynamic consistent modelling of defects and phicrostructures in ferroelectrics. Zbl 1220.82171 Müller, Ralf; Schröder, Jörg; Lupascu, Doru C. 1 2008 Non-standard discretisation methods in solid mechanics. Zbl 1487.74007 1 2022 On the simultaneous use of simple geometrically exact shear-rigid rod and shell finite elements. Zbl 1489.74052 Costa e Silva, Cátia; Maassen, Sascha Florian; Pimenta, Paulo M.; Schröder, Jörg 1 2021 Technical mechanics. Vol. 1: Statics. 9th revised ed. (Technische Mechanik. Bd. 1: Statik.) Zbl 1141.70301 Gross, Dietmar; Hauger, Werner; Schröder, Jörg; Wall, Wolfgang A. 1 2006 Engineering mechanics 3. Dynamics. Zbl 1220.70001 Gross, Dietmar; Hauger, Werner; Schröder, Jörg; Wall, Wolfgang A.; Govindjee, Sanjay 1 2011 Stress-velocity mixed least-squares FEMs for the time-dependent incompressible Navier-Stokes equations. Zbl 1476.65252 Schwarz, Alexander; Nisters, Carina; Averweg, Solveigh; Schröder, Jörg 1 2018 3D modeling of generalized Newtonian fluid flow with data assimilation using the least-squares finite element method. Zbl 1507.76005 Averweg, Solveigh; Schwarz, Alexander; Schwarz, Carina; Schröder, Jörg 1 2022 Effective hyperelastic material parameters from microstructures constructed using the planar Boolean model. Zbl 1505.74186 Brändel, Matthias; Brands, Dominik; Maike, Simon; Rheinbach, Oliver; Schröder, Jörg; Schwarz, Alexander; Stoyan, Dietrich 1 2022 A surrogate model for the prediction of permeabilities and flow through porous media: a machine learning approach based on stochastic Brownian motion. Zbl 1524.76464 Niekamp, Rainer; Niemann, Johanna; Schröder, Jörg 1 2023 Phase-field modeling of fracture in high performance concrete during low-cycle fatigue: numerical calibration and experimental validation. Zbl 1507.74416 Schröder, J.; Pise, M.; Brands, D.; Gebuhr, G.; Anders, S. 5 2022 Lagrange and \(H(\mathrm{curl}, \mathcal{B})\) based finite element formulations for the relaxed micromorphic model. Zbl 1509.74048 Schröder, Jörg; Sarhil, Mohammad; Scheunemann, Lisa; Neff, Patrizio 4 2022 An efficient numerical scheme for the FE-approximation of magnetic stray fields in infinite domains. Zbl 1492.78020 Schröder, Jörg; Reichel, Maximilian; Birk, Carolin 2 2022 Non-standard discretisation methods in solid mechanics. Zbl 1487.74007 1 2022 3D modeling of generalized Newtonian fluid flow with data assimilation using the least-squares finite element method. Zbl 1507.76005 Averweg, Solveigh; Schwarz, Alexander; Schwarz, Carina; Schröder, Jörg 1 2022 Effective hyperelastic material parameters from microstructures constructed using the planar Boolean model. Zbl 1505.74186 Brändel, Matthias; Brands, Dominik; Maike, Simon; Rheinbach, Oliver; Schröder, Jörg; Schwarz, Alexander; Stoyan, Dietrich 1 2022 On the simultaneous use of simple geometrically exact shear-rigid rod and shell finite elements. Zbl 1489.74052 Costa e Silva, Cátia; Maassen, Sascha Florian; Pimenta, Paulo M.; Schröder, Jörg 1 2021 A simple finite element for the geometrically exact analysis of Bernoulli-Euler rods. Zbl 1468.74061 da Costa e Silva, Cátia; Maassen, Sascha F.; Pimenta, Paulo M.; Schröder, Jörg 11 2020 A concept for the extension of the assumed stress finite element method to hyperelasticity. Zbl 1445.74053 Viebahn, Nils; Schröder, Jörg; Wriggers, Peter 2 2020 The exponentiated Hencky energy: anisotropic extension and case studies. Zbl 1457.74028 Schröder, Jörg; von Hoegen, Markus; Neff, Patrizio 5 2018 A simple and efficient Hellinger-Reissner type mixed finite element for nearly incompressible elasticity. Zbl 1440.74447 Viebahn, Nils; Steeger, Karl; Schröder, Jörg 5 2018 Stress-velocity mixed least-squares FEMs for the time-dependent incompressible Navier-Stokes equations. Zbl 1476.65252 Schwarz, Alexander; Nisters, Carina; Averweg, Solveigh; Schröder, Jörg 1 2018 On the stability analysis of hyperelastic boundary value problems using three- and two-field mixed finite element formulations. Zbl 1386.74141 Schröder, Jörg; Viebahn, Nils; Wriggers, Peter; Auricchio, Ferdinando; Steeger, Karl 8 2017 A simple triangular finite element for nonlinear thin shells: statics, dynamics and anisotropy. Zbl 1398.74416 Viebahn, Nils; Pimenta, Paulo M.; Schröder, Jörg 7 2017 A Prange-Hellinger-Reissner type finite element formulation for small strain elasto-plasticity. Zbl 1439.74067 Schröder, Jörg; Igelbüscher, Maximilian; Schwarz, Alexander; Starke, Gerhard 5 2017 Algorithmic two-scale transition for magneto-electro-mechanically coupled problems, FE \({}^2\)-scheme: localization and homogenization. Zbl 1425.74393 Schröder, Jörg; Labusch, Matthias; Keip, Marc-André 18 2016 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 Least-squares mixed finite element formulations for isotropic and anisotropic elasticity at small and large strains. Zbl 1354.74299 Schröder, Jörg; Schwarz, Alexander; Steeger, Karl 4 2016 An engineering tool to estimate eigenstresses in three-dimensional patient-specific arteries. Zbl 1436.74043 Schröder, Jörg; von Hoegen, Markus 4 2016 Advanced finite element technologies. Zbl 1348.65008 3 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 Special issue on phase field approaches to fracture: in memory of Professor Christian Miehe (1956–2016). Zbl 1439.74355 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 Coordinate-invariant phase field modeling of ferro-electrics. I: Model formulation and single-crystal simulations. Zbl 1525.74062 Schrade, D.; Keip, M.-A.; Thai, H.; Schröder, J.; Svendsen, B.; Müller, R.; Gross, D. 5 2015 Coordinate-invariant phase field modeling of ferro-electrics. II: Application to composites and poly-crystals. Zbl 1525.74058 Keip, M.-A.; Schrade, D.; Thai, H.; Schröder, J.; Svendsen, B.; Müller, R.; Gross, D. 3 2015 Construction of statistically similar RVEs. Zbl 1403.74078 Scheunemann, Lisa; Balzani, Daniel; Brands, Dominik; Schröder, Jörg 2 2015 Two-scale computational homogenization of electro-elasticity at finite strains. Zbl 1423.74788 Keip, Marc-André; Steinmann, Paul; Schröder, Jörg 33 2014 A numerical two-scale homogenization scheme: the \(\mathrm{FE}^{2}\)-method. Zbl 1291.74153 Schröder, Jörg 33 2014 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 A first-order system least squares method for hyperelasticity. Zbl 1429.74090 Müller, Benjamin; Starke, Gerhard; Schwarz, Alexander; Schröder, Jörg 12 2014 Weighted overconstrained least-squares mixed finite elements for static and dynamic problems in quasi-incompressible elasticity. Zbl 1311.74017 Schwarz, Alexander; Steeger, Karl; Schröder, Jörg 10 2014 A novel scheme for the approximation of residual stresses in arterial walls. Zbl 1338.74088 Schröder, Jörg; Brinkhues, Sarah 9 2014 Product properties of a two-phase magneto-electric composite: synthesis and numerical modeling. Zbl 1398.74102 Labusch, Matthias; Etier, Morad; Lupascu, Doru C.; Schröder, Jörg; Keip, Marc-André 9 2014 Plasticity and beyond. Microstructures, crystal-plasticity and phase transitions. Papers based on the presentations at the CISM course, Udine, Italy, June 27 – July 1, 2011. Zbl 1277.74003 4 2014 Construction of statistically similar representative volume elements. Zbl 1291.74189 Balzani, Daniel; Brands, Dominik; Schröder, Jörg 3 2014 A finite element method for contact using a third medium. Zbl 1311.74130 Wriggers, P.; Schröder, J.; Schwarz, A. 12 2013 Finite strain viscoelasticity: how to consistently couple discretizations in time and space on quadrature-point level for full order \(p\geq 2\) and a considerable speed-up. Zbl 1282.74020 Eidel, Bernhard; Stumpf, Felipe; Schröder, Jörg 4 2013 Two-scale homogenization of electromechanically coupled boundary value problems. Zbl 1398.74106 Schröder, Jörg; Keip, Marc-André 34 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 Analysis of a modified first-order system least squares method for linear elasticity with improved momentum balance. Zbl 1237.74190 Starke, Gerhard; Schwarz, Alexander; Schröder, Jörg 10 2011 Engineering mechanics 2. Mechanics of materials. Zbl 1217.74001 Gross, Dietmar; Hauger, Werner; Schröder, Jörg; Wall, Wolfgang A.; Bonet, Javier 3 2011 Engineering mechanics 3. Dynamics. Zbl 1220.70001 Gross, Dietmar; Hauger, Werner; Schröder, Jörg; Wall, Wolfgang A.; Govindjee, Sanjay 1 2011 A modified least-squares mixed finite element with improved momentum balance. Zbl 1183.74314 Schwarz, A.; Schröder, J.; Starke, G. 11 2010 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 Least-squares mixed finite elements for small strain elasto-viscoplasticity. Zbl 1156.74386 Schwarz, A.; Schröder, J.; Starke, G. 12 2009 Approximation of anisotropic elasticity tensors at the reference state with polyconvex energies. Zbl 1264.74011 Ebbing, V.; Schröder, J.; Neff, P. 7 2009 Technical mechanics. Vol. 2: Elastostatics. 10th revised ed. (Technische Mechanik. Bd. 2: Elastostatik.) Zbl 1170.74001 Gross, Dietmar; Hauger, Werner; Schröder, Jörg; Wall, Wolfgang 1 2009 Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors. Zbl 1171.74356 Schröder, J.; Neff, P.; Ebbing, V. 33 2008 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 Thermodynamic consistent modelling of defects and phicrostructures in ferroelectrics. Zbl 1220.82171 Müller, Ralf; Schröder, Jörg; Lupascu, Doru C. 1 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 Technical mechanics. Vol. 1: Statics. 9th revised ed. (Technische Mechanik. Bd. 1: Statik.) Zbl 1141.70301 Gross, Dietmar; Hauger, Werner; Schröder, Jörg; Wall, Wolfgang A. 1 2006 A variational approach for materially stable anisotropic hyperelasticity. Zbl 1119.74321 Schröder, J.; Neff, P.; Balzani, D. 64 2005 A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate-invariant setting. Zbl 1158.74344 Schröder, J.; Romanowski, H. 21 2005 Coordinate invariant modelling of the ferroelectric hysteresis within a thermodynamically consistent framework. A mesoscopic approach. Zbl 1084.74020 Romanowski, Holger; Schröder, Jörg 4 2005 Simulation of polycrystalline ferroelectrics based on discrete orientation distribution functions. Zbl 1391.74080 Kurzhöfer, Ingo; Schröder, Jörg; Romanowski, Holger 2 2005 A geometric nonlinear triangular finite element with an embedded discontinuity for the simulation of quasi-brittle fracture. Zbl 1102.74044 Schröder, J.; Löblein, J. 1 2005 Invariant formulation of the electromechanical enthalpy function on transversely isotropic piezoelectric materials. Zbl 1145.74348 Schröder, J.; Gross, D. 22 2004 A simple model for anisotropic damage with applications to soft tissues. Zbl 1354.74143 Balzani, Daniel; Schröder, Jörg; Gross, Dietmar 1 2004 A thermodynamic consistent model for an assumed transversely isotropic piezoceramic with nonlinear ferroelectric hysteresis. Zbl 1354.74072 Romanowski, H.; Schröder, J. 1 2004 Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions. Zbl 1033.74005 Schröder, Jörg; Neff, Patrizio 129 2003 On the construction of polyconvex anisotropic free energy functions. Zbl 1037.74005 Schröder, J.; Neff, P. 11 2003 Aspects of computational modeling of discontinuities with enriched triangular finite elements. Zbl 1354.74285 Löblein, J.; Schröder, J. 1 2003 Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction. Zbl 1099.74517 Miehe, Christian; Schröder, Jörg; Becker, Martin 50 2002 A simple orthotropic finite elasto-plasticity model based on generalized stress-strain measures. Zbl 1058.74025 Schröder, J.; Gruttmann, F.; Löblein, J. 24 2002 On the homogenization analysis of composite materials based on discretized fluctations on the micro-structure. Zbl 1008.74070 Miehe, C.; Schröder, J.; Bayreuther, C. 12 2002 A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity. Zbl 1006.74091 Miehe, Christian; Schröder, Jörg 26 2001 Energy and momentum conserving elastodynamics of a nonlinear brick-type mixed finite shell element. Zbl 0977.74063 Miehe, Christian; Schröder, Jörg 13 2001 Aspects of homogenization techniques and multigrid solving. Zbl 0997.74047 Bayreuther, C. G.; Miehe, C.; Schröder, J. 1 2000 Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials. Zbl 0982.74068 Miehe, Christian; Schröder, Jörg; Schotte, Jan 178 1999 Texture simulations of polycrystalline materials. Zbl 0942.74545 Miehe, C.; Schröder, J.; Schotte, J. 2 1999 A physically nonlinear dual mixed finite element formulation. Zbl 0892.73071 Schröder, J.; Klaas, O.; Stein, Erwin; Miehe, C. 4 1997 A regularized dual mixed element for plane elasticity. Implementation and performance of the BDM element. Zbl 0852.73065 Klaas, Ottmar; Schröder, Jörg; Stein, Erwin; Miehe, Christian 11 1995 Post-critical discontinuous localization analysis of small-strain softening elastoplastic solids. Zbl 0816.73011 Miehe, C.; Schröder, J. 16 1994 all cited Publications top 5 cited Publications all top 5 Cited by 1,158 Authors 55 Schröder, Jörg 29 Miehe, Christian 28 Gil, Antonio J. 28 Wriggers, Peter 27 Ortigosa, Rogelio 23 Balzani, Daniel 19 Steinmann, Paul 17 Neff, Patrizio 15 Keip, Marc-André 12 Menzel, Andreas M. 11 Geers, Marc G. D. 11 Larsson, Fredrik 11 Runesson, Kenneth 11 Schwarz, Alexander 11 Tanaka, Masato 9 Bonet, Javier 9 Gross, Michael B. 8 Betsch, Peter 8 Dietzsch, Julian 8 Kouznetsova, Varvara G. 8 Rheinbach, Oliver 8 Starke, Gerhard 7 Martínez-Frutos, Jesús 7 Reese, Stefanie 7 Sun, WaiChing 6 Aldakheel, Fadi 6 de Souza Neto, Eduardo Alberto 6 Eidel, Bernhard 6 Feijóo, Raúl Antonino 6 Franke, Marlon 6 Holzapfel, Gerhard Alfred 6 Klawonn, Axel 6 Lee, Chun Hean 6 Linder, Christian 6 Mosler, Jörn 6 Pimenta, Paulo M. 6 Rosato, Daniele 6 Viebahn, Nils 6 Yvonnet, Julien 5 Blanco, Pablo Javier 5 Brands, Dominik 5 Ghiba, Ionel-Dumitrel 5 Hesch, Christian 5 Hudobivnik, Blaž 5 Igelbüscher, Maximilian 5 Itskov, Mikhail 5 Kaiser, Tobias 5 Svendsen, Bob 5 Temizer, Ilker 5 Wagner, Werner 5 Zäh, Dominic 5 Zahrouni, Hamid 4 Areias, Pedro M. A. 4 Arockiarajan, Arunachalakasi 4 Chatzigeorgiou, George 4 De, Suvranu 4 Fischer, Andreas 4 Fujii, Fumio 4 Fujikawa, Masaki 4 Gross, Dietmar 4 Guilleminot, Johann 4 Heinlein, Alexander 4 Ibrahimbegović, Adnan 4 Janz, Alexander 4 Javili, Ali 4 Kiefer, Björn 4 Klinkel, Sven 4 Larsson, Ragnar 4 Löhnert, Stefan 4 Madeo, Angela 4 Marino, Michele 4 Martin, Robert J. 4 Muller, Ralf 4 Peyraut, François 4 Poya, Roman 4 Rachowicz, Waldemar 4 Rahul 4 Rambausek, Matthias 4 Ricoeur, Andreas 4 Sánchez, Pablo Javier 4 Sansour, Carlo 4 Steeger, Karl 4 Sultanov, Lenar U. 4 Vallicotti, Daniel 4 Wall, Wolfgang A. 4 Weinberg, Kerstin 4 Zdunek, Adam 3 Anand, Lallit 3 Andrianov, Igor Vasil’evich 3 Augustin, Christoph M. 3 Auricchio, Ferdinando 3 Bertrand, Fleurianne 3 Bilgen, Carola 3 Boisse, Philippe 3 Böl, Markus 3 Bosco, E. 3 Breitkopf, Piotr 3 Brekelmans, W. A. M. 3 Coenen, E. W. C. 3 Dal, Hüsnü ...and 1,058 more Authors all top 5 Cited in 77 Serials 206 Computer Methods in Applied Mechanics and Engineering 110 Computational Mechanics 58 International Journal for Numerical Methods in Engineering 36 European Journal of Mechanics. A. Solids 25 Journal of the Mechanics and Physics of Solids 20 GAMM-Mitteilungen 18 Mathematics and Mechanics of Solids 15 Acta Mechanica 12 Archives of Computational Methods in Engineering 11 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 10 International Journal of Engineering Science 10 Archive of Applied Mechanics 9 Applied Mathematical Modelling 9 Journal of Elasticity 8 International Journal of Plasticity 7 International Journal of Solids and Structures 6 Computers & Mathematics with Applications 6 Journal of Computational Physics 5 Engineering Analysis with Boundary Elements 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Continuum Mechanics and Thermodynamics 4 SIAM Journal on Scientific Computing 4 Journal of Theoretical Biology 3 Journal of Engineering Mathematics 3 Journal of Computational and Applied Mathematics 3 Lobachevskii Journal of Mathematics 3 PAMM. Proceedings in Applied Mathematics and Mechanics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Archive for Rational Mechanics and Analysis 2 Applied Mathematics and Computation 2 Mathematics and Computers in Simulation 2 Meccanica 2 Numerische Mathematik 2 SIAM Journal on Control and Optimization 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 Communications in Numerical Methods in Engineering 2 Engineering Computations 2 International Journal for Numerical Methods in Biomedical Engineering 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Physica A 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Mechanics Research Communications 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Computational and Applied Mathematics 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Journal of Applied Mechanics and Technical Physics 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 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Milan Journal of Mathematics 1 International Journal of Computational Methods 1 Acta Numerica 1 International Journal of Fracture 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Complex Variables and Elliptic Equations 1 Communications in Computational Physics 1 Advances in Fuzzy Systems 1 JSIAM Letters 1 Mathematics and Mechanics of Complex Systems 1 SMAI Journal of Computational Mathematics all top 5 Cited in 27 Fields 654 Mechanics of deformable solids (74-XX) 156 Numerical analysis (65-XX) 47 Biology and other natural sciences (92-XX) 35 Partial differential equations (35-XX) 30 Fluid mechanics (76-XX) 25 Statistical mechanics, structure of matter (82-XX) 23 Optics, electromagnetic theory (78-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 9 Computer science (68-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Real functions (26-XX) 4 Mechanics of particles and systems (70-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year