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 | 159 | 2022 |
Geometry of logarithmic strain measures in solid mechanics P Neff, B Eidel, RJ Martin Archive for Rational Mechanics and Analysis 222, 507-572, 2016 | 140 | 2016 |
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 | 124 | 2015 |
Shear, pure and simple C Thiel, J Voss, RJ Martin, P Neff International Journal of Non-Linear Mechanics 112, 57-72, 2019 | 59 | 2019 |
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 | 54 | 2015 |
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 | 33 | 2018 |
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 | 33 | 2017 |
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 | 33 | 2014 |
The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky P Neff, B Eidel, R Martin arXiv preprint arXiv:1402.4027, 2014 | 29 | 2014 |
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 | 28 | 2019 |
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 | 27 | 2016 |
Minimal geodesics on GL (n) for left-invariant, right-O (n)-invariant Riemannian metrics R Martin, P Neff arXiv preprint arXiv:1409.7849, 2014 | 26 | 2014 |
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 | 22 | 2013 |
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 | 16 | 2018 |
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 | 16 | 2015 |
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 | 12 | 2022 |
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 | 12 | 2019 |
More on anti-plane shear J Voss, H Baaser, RJ Martin, P Neff Journal of Optimization Theory and Applications 184, 226-249, 2020 | 11 | 2020 |
A polyconvex extension of the logarithmic Hencky strain energy RJ Martin, ID Ghiba, P Neff Analysis and Applications 17 (03), 349-361, 2019 | 11 | 2019 |
A non-ellipticity result, or the impossible taming of the logarithmic strain measure RJ Martin, ID Ghiba, P Neff International Journal of Non-Linear Mechanics 102, 147-158, 2018 | 11 | 2018 |