Elastic lattices: equilibrium, invariant laws and homogenization

DOI10.1007/s11565-008-0054-0zbMath1354.74022OpenAlexW2088162114MaRDI QIDQ1041320

Annie Raoult, Denis Caillerie, Ayman Mourad

Publication date: 2 December 2009

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-008-0054-0

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15) Equations linearized about a deformed state (small deformations superposed on large) (74B15)

Related Items (12)

Size dependent static and dynamic behavior of trabecular bone based on micromechanical models of the trabecular architecture ⋮ Homogenization of periodic graph-based elastic structures ⋮ On a nanoscopically-informed shell theory of single-wall carbon nanotubes ⋮ Hexagonal lattices with three-point interactions ⋮ Directional properties of fibre network materials evaluated by means of discrete homogenization ⋮ A homogenized model for honeycomb cellular materials ⋮ Computation of the effective nonlinear mechanical response of lattice materials considering geometrical nonlinearities ⋮ Discrete and continuous models of linear elasticity: history and connections ⋮ Homogenization of linearly elastic honeycombs ⋮ Homogenization of hexagonal lattices ⋮ Strain gradient and generalized continua obtained by homogenizing frame lattices ⋮ Effective anisotropic properties of fibre network sheets

Cites Work

• An introduction to continuum mechanics
• Discrete homogenization in graphene sheet modeling
• Cell-to-Muscle homogenization. Application to a constitutive law for the myocardium

This page was built for publication: Elastic lattices: equilibrium, invariant laws and homogenization