Asymptotic derivation of a higher-order one-dimensional model for tape springs

Autor: Arun Kumar, Basile Audoly, Claire Lestringant

Publikováno v: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 381

We derive a one-dimensional model for tape springs. The derivation starts from nonlinear thin-shell theory and uses a dimension reduction technique that combines a centreline-based parametrization of the tape-spring midsurface with the assumption tha

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::27e5100d32284a0fa851b279084c9840
https://doi.org/10.1098/rsta.2022.0028

Continuum models for stretching- and bending-dominated periodic trusses undergoing finite deformations

Autor: Dennis M. Kochmann, Claire Lestringant, Raphaël N. Glaesener, Bastian Telgen

Publikováno v: International Journal of Solids and Structures. 171:117-134

Advances in additive manufacturing across scales have enabled the creation of random, periodic, or hierarchical truss networks containing millions and more of individual truss members. In order to significantly reduce computational costs while accura

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ff43a42f54c30953f5b452862d832129
https://doi.org/10.1016/j.ijsolstr.2019.04.022

A one-dimensional model for elasto-capillary necking

Autor: Claire Lestringant, Basile Audoly

Publikováno v: Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, Royal Society, The, 2020, 476 (2240), pp.20200337. ⟨10.1098/rspa.2020.0337⟩

We derive a nonlinear one-dimensional (1d) strain gradient model predicting the necking of soft elastic cylinders driven by surface tension, starting from three-dimensional (3d) finite-strain elasticity. It is asymptotically correct: the microscopic

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54de10c4c8aec02a380b736542aaa6f1
https://hal.archives-ouvertes.fr/hal-02990385/document

Asymptotically exact strain-gradient models for nonlinear slender elastic structures: a systematic derivation method

Autor: Claire Lestringant, Basile Audoly

Publikováno v: Journal of the Mechanics and Physics of Solids
Journal of the Mechanics and Physics of Solids, Elsevier, 2020, pp.103730. ⟨10.1016/j.jmps.2019.103730⟩

International audience; We propose a general method for deriving one-dimensional models for nonlinear structures. It captures the contribution to the strain energy arising not only from the macroscopic elastic strain as in classical structural models

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ae601da64ab57c906bf05440e70765b
https://hal.archives-ouvertes.fr/hal-02347666/document

A diffuse interface model for the analysis of propagating bulges in cylindrical balloons

Autor: Claire Lestringant, Basile Audoly

Publikováno v: Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, Royal Society, The, 2018, 474, pp.20180333. ⟨10.1098/rspa.2018.0333⟩

International audience; With the aim to characterize the formation and propagation of bulges in cylindrical rubber balloons, we carry out an expansion of the non-linear axisymmetric membrane model assuming slow axial variations. We obtain a diffuse i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::977fb66b9eb6ddb57140277a5d75fbd8
https://hal.archives-ouvertes.fr/hal-01898162