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Robert J. Martin
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Geometry of logarithmic strain measures in solid mechanics
P Neff, B Eidel, RJ Martin
Archive for Rational Mechanics and Analysis 222, 507-572, 2016
1142016
The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity
P Neff, ID Ghiba, J Lankeit
Journal of Elasticity 121 (2), 143-234, 2015
1092015
Polyconvex anisotropic hyperelasticity with neural networks
DK Klein, M Fernández, RJ Martin, P Neff, O Weeger
Journal of the Mechanics and Physics of Solids 159, 104703, 2022
902022
Shear, pure and simple
C Thiel, J Voss, RJ Martin, P Neff
International Journal of Non-Linear Mechanics 112, 57-72, 2019
482019
The exponentiated Hencky-logarithmic strain energy. Part II: coercivity, planar polyconvexity and existence of minimizers
P Neff, J Lankeit, ID Ghiba, R Martin, D Steigmann
Zeitschrift für angewandte Mathematik und Physik 66, 1671-1693, 2015
472015
A Riemannian approach to strain measures in nonlinear elasticity
P Neff, B Eidel, F Osterbrink, R Martin
Comptes Rendus. Mécanique 342 (4), 254-257, 2014
322014
Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case
RJ Martin, ID Ghiba, P Neff
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 147 (3 …, 2017
302017
A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes
B Nedjar, H Baaser, RJ Martin, P Neff
Computational Mechanics 62, 635-654, 2018
282018
Rediscovering GF Becker’s early axiomatic deduction of a multiaxial nonlinear stress–strain relation based on logarithmic strain
P Neff, I Münch, R Martin
Mathematics and Mechanics of Solids 21 (7), 856-911, 2016
252016
The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky
P Neff, B Eidel, R Martin
arXiv preprint arXiv:1402.4027, 2014
242014
Minimal geodesics on GL (n) for left-invariant, right-O (n)-invariant Riemannian metrics
R Martin, P Neff
arXiv preprint arXiv:1409.7849, 2014
232014
Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature
M Birsan, ID Ghiba, RJ Martin, P Neff
Mathematics and Mechanics of Solids 24 (12), 4000-4019, 2019
222019
The Hencky strain energy‖ log U‖ 2 measures the geodesic distance of the deformation gradient to SO (n) in the canonical left‐invariant Riemannian metric on GL (n)
P Neff, B Eidel, F Osterbrink, R Martin
PAMM 13 (1), 369-370, 2013
212013
An ellipticity domain for the distortional Hencky logarithmic strain energy
ID Ghiba, P Neff, RJ Martin
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2015
142015
Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity
ID Ghiba, RJ Martin, P Neff
Journal de Mathématiques Pures et Appliquées 116, 88-104, 2018
132018
Numerical approaches for investigating quasiconvexity in the context of Morrey’s conjecture
J Voss, RJ Martin, O Sander, S Kumar, DM Kochmann, P Neff
Journal of Nonlinear Science 32 (6), 77, 2022
112022
More on anti-plane shear
J Voss, H Baaser, RJ Martin, P Neff
Journal of Optimization Theory and Applications 184, 226-249, 2020
112020
The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity
RJ Martin, J Voss, ID Ghiba, O Sander, P Neff
Journal of Nonlinear Science 30 (6), 2885-2923, 2020
92020
A polyconvex extension of the logarithmic Hencky strain energy
RJ Martin, ID Ghiba, P Neff
Analysis and Applications 17 (03), 349-361, 2019
92019
A commented translation of Hans Richter’s early work “The isotropic law of elasticity”
K Graban, E Schweickert, RJ Martin, P Neff
Mathematics and Mechanics of Solids 24 (8), 2649-2660, 2019
82019
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