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Author ID: martin.robert-j Recent zbMATH articles by "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

Publications by Year

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 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

Citations by Year