Edit Profile (opens in new tab) Martin, Robert J. Co-Author Distance Author ID: martin.robert-j Published as: Martin, Robert J.; Martin, Robert Homepage: https://www.uni-due.de/mathematik/ag_neff/martin External Links: MGP Documents Indexed: 40 Publications since 2013, including 1 Book and 11 Additional arXiv Preprints Co-Authors: 22 Co-Authors with 31 Joint Publications 350 Co-Co-Authors all top 5 Co-Authors 1 single-authored 31 Neff, Patrizio 14 Ghiba, Ionel-Dumitrel 12 Voss, Jendrik 4 Baaser, Herbert 3 Eidel, Bernhard 3 Schweickert, Eva 2 Chappell, David J. 2 Chuzhanova, N. A. 2 Crofts, Jonathan J. 2 Eckhardt, Daniel Q. 2 Graban, Kai 2 Sander, Oliver 2 Thiel, Christian 2 Yang, Yunan 1 Abrantes, R. J. E. 1 Alekseenko, Alexander M. 1 Bernardini, Davide 1 Bilyeu, David L. 1 Bîrsan, Mircea 1 Botvinick-Greenhouse, Jonah 1 Chakmak, Ryan M. 1 Chan, Colleen E. 1 d’Agostino, Marco Valerio 1 Danescu, Alexandre 1 Dimand, Gal 1 Falcon, Claudia 1 George, Erin 1 Kochmann, Dennis M. 1 Kumar, Siddhant 1 Lankeit, Johannes 1 Lewintan, Peter 1 Lin, Alex Tong 1 Mihai, L. Angela 1 Münch, Ingo 1 Nedjar, Boumediene 1 Negrini, Elisa 1 Nurbekyan, Levon 1 Osher, Stanley Joel 1 Osterbrink, Frank 1 Pasha, Mirjeta 1 Steigmann, David J. 1 Wong, Adrian S. 1 Wood, Aihua W. all top 5 Serials 4 Mathematics and Mechanics of Solids 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Nonlinear Science 2 Journal of Computational Physics 2 SIAM Journal on Applied Dynamical Systems 1 Archive for Rational Mechanics and Analysis 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Optimization Theory and Applications 1 Computational Mechanics 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Archive of Applied Mechanics 1 Journal of Computational Neuroscience 1 Analysis and Applications (Singapore) 1 Journal of Geometric Mechanics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 28 Mechanics of deformable solids (74-XX) 7 Real functions (26-XX) 4 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Numerical analysis (65-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 135 times in 71 Documents Cited by ▼ Year ▼ Geometry of logarithmic strain measures in solid mechanics. Zbl 1348.74039 Neff, Patrizio; Eidel, Bernhard; Martin, Robert J. 36 2016 The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers. Zbl 1320.74022 Neff, Patrizio; Lankeit, Johannes; Ghiba, Ionel-Dumitrel; Martin, Robert; Steigmann, David 16 2015 Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case. Zbl 1369.74016 Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio 13 2017 A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes. Zbl 1459.74179 Nedjar, Boumediene; Baaser, Herbert; Martin, Robert J.; Neff, Patrizio 9 2018 Minimal geodesics on \(\mathrm{GL}(n)\) for left-invariant, right-\(\mathrm O(n)\)-invariant Riemannian metrics. Zbl 1366.53028 Neff, Patrizio; Martin, Robert J. 8 2016 Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity. Zbl 1426.74047 Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio 8 2018 More on anti-plane shear. Zbl 1431.74026 Voss, Jendrik; Baaser, Herbert; Martin, Robert J.; Neff, Patrizio 7 2020 Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature. Zbl 07273403 Bîrsan, Mircea; Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio 6 2019 An ellipticity domain for the distortional Hencky-logarithmic strain energy. Zbl 1371.74042 Ghiba, Ionel-Dumitrel; Neff, Patrizio; Martin, Robert J. 5 2015 Rediscovering GF Becker’s early axiomatic deduction of a multiaxial nonlinear stress-strain relation based on logarithmic strain. Zbl 1379.74005 Neff, Patrizio; Münch, Ingo; Martin, Robert 5 2016 Some remarks on the monotonicity of primary matrix functions on the set of symmetric matrices. Zbl 1357.47092 Martin, Robert J.; Neff, Patrizio 3 2015 The axiomatic introduction of arbitrary strain tensors by Hans Richter – a commented translation of ‘Strain tensor, strain deviator and stress tensor for finite deformations’. Zbl 1481.74008 Neff, Patrizio; Graban, Kai; Schweickert, Eva; Martin, Robert J. 3 2020 A commented translation of Hans Richter’s early work “The isotropic law of elasticity”. Zbl 07254374 Graban, Kai; Schweickert, Eva; Martin, Robert J.; Neff, Patrizio 3 2019 Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split. Zbl 1465.74028 Voss, Jendrik; Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio 3 2021 A numerical simulation of neural fields on curved geometries. Zbl 1402.92102 Martin, R.; Chappell, D. J.; Chuzhanova, N.; Crofts, Jonathan J. 3 2018 A polyconvex extension of the logarithmic Hencky strain energy. Zbl 1416.74018 Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio 3 2019 The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity. Zbl 1475.74012 Martin, Robert J.; Voss, Jendrik; Ghiba, Ionel-Dumitrel; Sander, Oliver; Neff, Patrizio 2 2020 Morrey’s conjecture for the planar volumetric-isochoric split: least rank-one convex energy functions. Zbl 1497.74004 Voss, Jendrik; Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio 2 2022 Fast evaluation of the Boltzmann collision operator using data driven reduced order models. Zbl 07599591 Alekseenko, Alexander; Martin, Robert; Wood, Aihua 2 2022 Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity. Zbl 1462.74024 Martin, Robert J.; Voss, Jendrik; Neff, Patrizio; Ghiba, Ionel-Dumitrel 2 2020 Decomposing signals from dynamical systems using shadow manifold interpolation. Zbl 1485.37070 George, Erin; Chan, Colleen E.; Dimand, Gal; Chakmak, Ryan M.; Falcon, Claudia; Eckhardt, Daniel; Martin, Robert 1 2021 Numerical approaches for investigating quasiconvexity in the context of Morrey’s conjecture. Zbl 07590569 Voss, Jendrik; Martin, Robert J.; Sander, Oliver; Kumar, Siddhant; Kochmann, Dennis M.; Neff, Patrizio 1 2022 Morrey’s conjecture for the planar volumetric-isochoric split: least rank-one convex energy functions. Zbl 1497.74004 Voss, Jendrik; Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio 2 2022 Fast evaluation of the Boltzmann collision operator using data driven reduced order models. Zbl 07599591 Alekseenko, Alexander; Martin, Robert; Wood, Aihua 2 2022 Numerical approaches for investigating quasiconvexity in the context of Morrey’s conjecture. Zbl 07590569 Voss, Jendrik; Martin, Robert J.; Sander, Oliver; Kumar, Siddhant; Kochmann, Dennis M.; Neff, Patrizio 1 2022 Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split. Zbl 1465.74028 Voss, Jendrik; Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio 3 2021 Decomposing signals from dynamical systems using shadow manifold interpolation. Zbl 1485.37070 George, Erin; Chan, Colleen E.; Dimand, Gal; Chakmak, Ryan M.; Falcon, Claudia; Eckhardt, Daniel; Martin, Robert 1 2021 More on anti-plane shear. Zbl 1431.74026 Voss, Jendrik; Baaser, Herbert; Martin, Robert J.; Neff, Patrizio 7 2020 The axiomatic introduction of arbitrary strain tensors by Hans Richter – a commented translation of ‘Strain tensor, strain deviator and stress tensor for finite deformations’. Zbl 1481.74008 Neff, Patrizio; Graban, Kai; Schweickert, Eva; Martin, Robert J. 3 2020 The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity. Zbl 1475.74012 Martin, Robert J.; Voss, Jendrik; Ghiba, Ionel-Dumitrel; Sander, Oliver; Neff, Patrizio 2 2020 Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity. Zbl 1462.74024 Martin, Robert J.; Voss, Jendrik; Neff, Patrizio; Ghiba, Ionel-Dumitrel 2 2020 Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature. Zbl 07273403 Bîrsan, Mircea; Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio 6 2019 A commented translation of Hans Richter’s early work “The isotropic law of elasticity”. Zbl 07254374 Graban, Kai; Schweickert, Eva; Martin, Robert J.; Neff, Patrizio 3 2019 A polyconvex extension of the logarithmic Hencky strain energy. Zbl 1416.74018 Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio 3 2019 A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes. Zbl 1459.74179 Nedjar, Boumediene; Baaser, Herbert; Martin, Robert J.; Neff, Patrizio 9 2018 Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity. Zbl 1426.74047 Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio 8 2018 A numerical simulation of neural fields on curved geometries. Zbl 1402.92102 Martin, R.; Chappell, D. J.; Chuzhanova, N.; Crofts, Jonathan J. 3 2018 Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case. Zbl 1369.74016 Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio 13 2017 Geometry of logarithmic strain measures in solid mechanics. Zbl 1348.74039 Neff, Patrizio; Eidel, Bernhard; Martin, Robert J. 36 2016 Minimal geodesics on \(\mathrm{GL}(n)\) for left-invariant, right-\(\mathrm O(n)\)-invariant Riemannian metrics. Zbl 1366.53028 Neff, Patrizio; Martin, Robert J. 8 2016 Rediscovering GF Becker’s early axiomatic deduction of a multiaxial nonlinear stress-strain relation based on logarithmic strain. Zbl 1379.74005 Neff, Patrizio; Münch, Ingo; Martin, Robert 5 2016 The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers. Zbl 1320.74022 Neff, Patrizio; Lankeit, Johannes; Ghiba, Ionel-Dumitrel; Martin, Robert; Steigmann, David 16 2015 An ellipticity domain for the distortional Hencky-logarithmic strain energy. Zbl 1371.74042 Ghiba, Ionel-Dumitrel; Neff, Patrizio; Martin, Robert J. 5 2015 Some remarks on the monotonicity of primary matrix functions on the set of symmetric matrices. Zbl 1357.47092 Martin, Robert J.; Neff, Patrizio 3 2015 all cited Publications top 5 cited Publications all top 5 Cited by 111 Authors 33 Neff, Patrizio 16 Martin, Robert J. 12 Ghiba, Ionel-Dumitrel 8 Voss, Jendrik 5 Fischle, Andreas 4 Bîrsan, Mircea 3 Baaser, Herbert 3 Sander, Oliver 3 Sky, Adam 2 Borisov, Lev A. 2 Chen, Robin Ming 2 Eidel, Bernhard 2 Klein, Dominik K. 2 Lewintan, Peter 2 Mihai, L. Angela 2 Montáns, Francisco-Javier 2 Münch, Ingo 2 Nedjar, Boumediene 2 Neunteufel, Michael 2 Ortigosa, Rogelio 2 Shachar, Asaf 2 Walsh, Samuel 2 Weeger, Oliver 2 Wheeler, Miles H. 1 Ahzi, Saïd 1 Alam, Meraj 1 Basu, Somnath 1 Benešová, Barbora 1 Bernard, C. A. 1 Betsch, Peter 1 Bilgen, Carola 1 Bleiler, Christian 1 Boussaid, Omar 1 Brieu, Mathias 1 Bronsard, Lia 1 Chen, Xiaoli 1 Connolly, Stephen John 1 Crespo, José Luis 1 Desmorat, Boris 1 Desmorat, Rodrigue 1 Dey, Bibaswan 1 Fiala, Zdeněk 1 Franke, Marlon 1 Freed, Alan David 1 George, Daniel 1 Gil, Antonio J. 1 Gonçalves, Paulo Batista 1 Gorash, Yevgen 1 Graban, Kai 1 Grandi, Diego 1 Guerra, André 1 Hale, Jack S. 1 Harris, Terence L. J. 1 Hogancamp, Thomas 1 Kirchheim, Bernd 1 Kirichevsky, Rostislav Viktorovich 1 Kochmann, Dennis M. 1 Kreisbeck, Carolin 1 Kristensen, Jan 1 Kružík, Martin 1 Kumar, Siddhant 1 Kupferman, Raz 1 Lankeit, Johannes 1 Latorre, Marcos 1 Li, Jiajin 1 Lin, Chun-Chi 1 Ljulj, Matko 1 MacKenzie, Donald 1 Martínez-Frutos, Jesús 1 Miñano, Mar 1 Morch, Annie 1 Nebel, Lisa Julia 1 Pompe, Waldemar 1 Poya, Roman 1 Prasad, Sachchidanand 1 Raabe, Dierk 1 Rémond, Yves 1 Rezaee-Hajidehi, M. 1 Rizzi, Gianluca 1 Röhrle, Oliver 1 Rosakis, Phoebus 1 Saem, Maryam Mohammadi 1 Santana, Murillo V. B. 1 Schlömerkemper, Anja 1 Schöberl, Joachim 1 Schröder, Jörg 1 Schweickert, Eva 1 Sekhar, G. P. Raja 1 Silveira, Ricardo A. M. 1 Skrinnikova, A. V. 1 Solomon, Justin 1 Sra, Suvrit 1 Stefanelli, Ulisse 1 Stein, Oded 1 Stupkiewicz, Stanisław 1 Székelyhidi, László jun. 1 Tambača, Josip 1 Tang, Xiong 1 Thomas, Marita 1 Tonegawa, Yoshihiro ...and 11 more Authors all top 5 Cited in 35 Serials 7 Computational Mechanics 7 Journal of Elasticity 5 Computer Methods in Applied Mechanics and Engineering 5 Journal of Nonlinear Science 4 Mathematics and Mechanics of Solids 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Archive for Rational Mechanics and Analysis 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Continuum Mechanics and Thermodynamics 2 Calculus of Variations and Partial Differential Equations 2 Journal of Geometric Mechanics 1 International Journal of Engineering Science 1 Nonlinearity 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Proceedings of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Archive of Applied Mechanics 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 European Journal of Mechanics. A. Solids 1 Algebraic & Geometric Topology 1 Archives of Computational Methods in Engineering 1 Theoretical and Applied Mechanics 1 Analysis and Applications (Singapore) 1 Oberwolfach Reports 1 SIAM Journal on Imaging Sciences 1 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 1 Mathematics and Mechanics of Complex Systems 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 26 Fields 60 Mechanics of deformable solids (74-XX) 12 Partial differential equations (35-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Numerical analysis (65-XX) 8 Real functions (26-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Differential geometry (53-XX) 3 Computer science (68-XX) 2 Topological groups, Lie groups (22-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year