About the structure of the discrete and continuous Eringen’s nonlocal elastica Cresson, Jacky Hariz Belgacem, Khaled Mechanics of Materials General Materials Science General Mathematics <jats:p> The Eringen’s nonlocal elastica equation does not possess a Lagrangian formulation. In this article, we find a variational integrating factor which enables us to provide a Lagrangian and Hamiltonian structure associated to this equation. Explicit expressions of the solutions in terms of elliptic integrals of the first kind are then deduced. We then derive discrete version of the Eringen’s nonlocal elastica preserving the Lagrangian and Hamiltonian structure and compare it with Challamel’s and co-worker definition of a discrete Eringen’s nonlocal elastica. </jats:p> SAGE Publications 2022 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_6501 https://ris.uni-paderborn.de/record/39400 Cresson J, Hariz Belgacem K. About the structure of the discrete and continuous Eringen’s nonlocal elastica. <i>Mathematics and Mechanics of Solids</i>. Published online 2022. doi:<a href="https://doi.org/10.1177/10812865221108094">10.1177/10812865221108094</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1177/10812865221108094 info:eu-repo/semantics/altIdentifier/issn/1081-2865 info:eu-repo/semantics/altIdentifier/issn/1741-3028 info:eu-repo/semantics/closedAccess