Second-gradient continua: From Lagrangian to Eulerian and back

F dell'Isola, SR Eugster, R Fedele… - … and Mechanics of …, 2022 - journals.sagepub.com
In this paper, we represent second-gradient internal work functionals in Lagrangian
(referential) and Eulerian (spatial) descriptions, and we deduce the corresponding …

Exegesis of the Introduction and Sect. I from “Fundamentals of the Mechanics of Continua”** by E. Hellinger

SR Eugster, F Dell'Isola - ZAMM‐Journal of Applied …, 2017 - Wiley Online Library
The fundamental review article DIE ALLGEMEINEN ANSÄTZE DER MECHANIK DER
KONTINUA in the Encyklopädie der mathematischen Wissenschaften mit Einschluss ihrer …

Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets

A Ciallella, I Giorgio, SR Eugster, NL Rizzi, F dell'Isola - Wave Motion, 2022 - Elsevier
Dynamics of pantographic sheets presents exotic aspects that deserve investigation. In this
paper, we focus the attention on some possible modalities of non-linear wave propagation in …

Dynamics of 1D nonlinear pantographic continua

I Giorgio, A Della Corte, F Dell'Isola - Nonlinear Dynamics, 2017 - Springer
In this paper a mechanical system consisting of a chain of masses connected by nonlinear
springs and a pantographic microstructure is studied. A homogenized form of the energy is …

[HTML][HTML] Generalized beam theory for the analysis of thin-walled structures—A state-of-the-art survey

C Mittelstedt - Thin-Walled Structures, 2024 - Elsevier
Thin-walled prismatic metallic members as well as structures made of laminated composite
materials are routinely employed in engineering branches such as civil engineering or …

Variational study of a Maxwell–Rayleigh-type finite length model for the preliminary design of a tensegrity chain with a tunable band gap

L Placidi, F Di Girolamo, R Fedele - Mechanics Research Communications, 2024 - Elsevier
In this study, a Maxwell–Rayleigh-type model is investigated, describing a unidimensional
lattice with a finite length, where the unit cell includes hosting and resonant masses mutually …

Civil engineering applications of the Asymptotic Expansion Load Decomposition beam model: an overview

A Lebée, G Corre, MK Ferradi, K Sab… - Continuum Mechanics …, 2023 - Springer
Abstract The Asymptotic Expansion Load Decomposition higher-order beam model is based
on the classical two-scale asymptotic expansion in the linear elasticity framework. It was …

Generalised Beam Theory (GBT) for composite beams with partial shear interaction

G Taig, G Ranzi - Engineering Structures, 2015 - Elsevier
This paper presents a theoretical model for the partial interaction analysis of composite steel–
concrete beams within the framework of Generalised Beam Theory (GBT). The main …

Modeling beam-like planar structures by a one-dimensional continuum: an analytical-numerical method

M Ferretti, F D'Annibale, A Luongo - Journal of Applied and …, 2021 - jacm.scu.ac.ir
In this paper, beam-like structures, macroscopically behaving as planar Timoshenko beams,
are considered. Planar frames, made by periodic assemblies of micro-beams and columns …

Nonlinear generalized beam theory for open thin-walled members

G Piccardo, A Ferrarotti… - … and Mechanics of Solids, 2017 - journals.sagepub.com
In the framework of the Generalized Beam Theory (GBT) a new cross-section analysis is
proposed, specifically suited for nonlinear elastic thin-walled beams (TWB). The approach is …