dell’Isola, FrancescoEugster, Simon R.Fedele, RobertoSeppecher, Pierre2024-10-242024-10-2420221741-30281081-28651908130156http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-151551http://elib.uni-stuttgart.de/handle/11682/15155http://dx.doi.org/10.18419/opus-15136In this paper, we represent second-gradient internal work functionals in Lagrangian (referential) and Eulerian (spatial) descriptions, and we deduce the corresponding expressions for the Piola transformations of stress and double-stress tensors and of external forces and double-forces. We also derive, in both the Eulerian and Lagrangian description, the expression of surface and edge contact interactions (which include forces and double-forces) for second-gradient continua in terms of the normal and the curvature of contact boundary surfaces and edge shapes.eninfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/4.0/510article2023-11-14