3 papers
math-ph2025
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…
math.AP2025
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…
math-ph2025
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,…