9 citations · 10 across the 7 of their papers we have counts for
8 papers
A globally defined compressible polyconvex isotropic energy satisfying the true-stress-true-strain monotonicity condition (TSTS-M++)
Dongxin Bai, Yunhao Wu, Yong Li +2
We construct a compressible isotropic energy on combining polyconvexity and global true-stress-true-strain monotonicity (TSTS-M++), answering a question of Wolln…
Polyconvexity implies Hill's inequality in
Ionel-Dumitrel Ghiba, Maximilian P. Wollner, Patrizio Neff
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…
Polyconvexity does not imply true-stress-true-strain monotonicity in the incompressible three-dimensional case
Dominik K. Klein, Maximilian P. Wollner, Patrizio Neff
We study constitutive conditions of hyperelastic potentials for incompressible material behavior in three dimensions. By means of a counterexample, we show that polyconvexity does…
Concurrent enforcement of polyconvexity and true-stress-true-strain monotonicity in incompressible isotropic hyperelasticity: application to neural network constitutive models
Maximilian P. Wollner, Dominik K. Klein, Herbert Baaser +2
The design of physics-augmented neural networks (PANNs) for the purposes of constitutive modeling has received considerable attention as of late for a variety of material behaviors…
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…
In search of constitutive conditions in isotropic hyperelasticity: polyconvexity versus true-stress-true-strain monotonicity
Maximilian P. Wollner, Gerhard A. Holzapfel, Patrizio Neff
The polyconvexity of a strain-energy function is nowadays increasingly presented as the ultimate material stability condition for an idealized elastic response. While the mathemati…
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…
Defects in unidimensional structures
Mewen Crespo, Guy Casale, Loïc Le Marrec +1
In a previous work of the first authors, a non-holonomic model, generalising the micromorphic models and allowing for curvature (disclinations) to arise from the kinematic values,…