Dr. rer. nat. Robert Martin

Forschungsinteressen

  • angewandte Mathematik mit Bezug zu Ingenieurwissenschaften
  • Elastizitätstheorie
  • konstitutive Ungleichungen
  • Geodäten auf Lie-Gruppen

 

Publikationen

Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff
Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case
arXiv:1507.00266 pdf

Patrizio Neff, Bernhard Eidel, Robert J. Martin
Geometry of logarithmic strain measures in solid mechanics
arXiv:1505.02203 pdf

Patrizio Neff, Bernhard Eidel, Robert J. Martin
The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky
arXiv:1402.4027 pdf

Robert J. Martin, Patrizio Neff
Minimal geodesics on GL(n) for left-invariant, right-O(n)-invariant Riemannian metrics
arXiv:1409.7849 pdf

Patrizio Neff, Johannes Lankeit, Ionel-Dumitrel Ghiba, Robert J. Martin, David Steigmann
The exponentiated Hencky-logarithmic strain energy. Part II: Coercivity, planar polyconvexity and existence of minimizers
Zeitschrift für angewandte Mathematik und Physik, published online
arXiv:1408.4430 abstract pdf

Robert J. Martin, Patrizio Neff
Some remarks on the monotonicity of primary matrix functions on the set of symmetric matrices
Archive of Applied Mechanics, published online
arXiv:1409.7847 abstract  pdf

Patrizio Neff, Bernhard Eidel, Frank Osterbrink, Robert J. Martin
A Riemannian approach to strain measures in nonlinear elasticity

Comptes Rendus Mécanique, Volume 342 (4), pp 254–257
arXiv:1305.2393 abstract  pdf

Patrizio Neff, Ingo Münch, Robert J. Martin
Rediscovering G.F. Becker's early axiomatic deduction of a multiaxial nonlinear stress-strain relation based on logarithmic strain

Mathematics and Mechanics of Solids, published online
arXiv:1403.4675
   abstract  pdf

Patrizio Neff, Frank Osterbrink, Robert J. Martin
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)
PAMM Volume 13 (1), pp 369–370
abstract pdf