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Polyconvexity implies Hill's inequality in
Ionel-Dumitrel Ghiba, Patrizio Neff, Maximilian P. Wollner
For compressible nonlinear isotropic elasticity it is well known that rank-one convexity, polyconvexity and the monotonicity of the Cauchy stress tensor with respect to the logarit…
Testing Hooke-like isotropic hyper-/hypo-elastic material models under finite simple shear deformations
Sergey N. Korobeynikov, Alexey Yu. Larichkin, Patrizio Neff
We test some Hooke-like isotropic hyper-/hypo-elastic material models under finite simple shear deformations (cf., Thiel et al. Int. J. Non-linear Mech. 112: 57--72, 2019) and show…
A New Framework for Unidimensional Structures Based on Generalised Continua
Mewen Crespo, Casale Guy, Loïc Le Marrec +1
The present work introduces a family of beam models derived from a three-dimensional higher-order elasticity framework. By incorporating three kinematic fields - the macroscopic di…