Robert J. Martin
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Geometry of logarithmic strain measures in solid mechanics
P Neff, B Eidel, RJ Martin
arXiv preprint arXiv:1505.02203, 2015
742015
The exponentiated Hencky-logarithmic strain energy
P Neff, ID Ghiba, J Lankeit, RJ Martin, DJ Steigmann
Part II: Coercivity, planar polyconvexity and existence of minimizers. to …, 2015
74*2015
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 (4), 1671-1693, 2015
382015
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
312014
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, 1081286514542296, 2014
212014
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
The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky
P Neff, B Eidel, R Martin
arXiv preprint arXiv:1402.4027, 2014
202014
Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case
RJ Martin, ID Ghiba, P Neff
arXiv preprint arXiv:1507.00266, 2015
192015
Minimal geodesics on GL (n) for left-invariant, right-O (n)-invariant Riemannian metrics
R Martin, P Neff
arXiv preprint arXiv:1409.7849, 2014
192014
An ellipticity domain for the distortional Hencky logarithmic strain energy
ID Ghiba, P Neff, RJ Martin
Proc. R. Soc. A 471 (2184), 20150510, 2015
92015
The isotropic Hencky strain energy measures the geodesic distance of the deformation gradient F∈ GL+(n) to SO (n) in the unique left invariant Riemannian metric on GL (n …
P Neff, B Eidel, F Osterbrink, R Martin
preparation, 2014
82014
Some remarks on the monotonicity of primary matrix functions on the set of symmetric matrices
RJ Martin, P Neff
Archive of Applied Mechanics 85 (12), 1761-1778, 2015
72015
Appropriate strain measures: The Hencky shear strain energy dev log√ FT F2 measures the geodesic distance of the isochoric part of the deformation gradient F∈ SL (3) to SO (3 …
P Neff, B Eidel, F Osterbrink, R Martin
preparation, 2014
62014
Rank‐one convexity and polyconvexity of Hencky‐type energies
P Neff, ID Ghiba, J Lankeit, R Martin
PAMM 14 (1), 735-736, 2014
12014
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Artiklar 1–14