A class of one dimensional periodic microstructures exhibiting effective Timoshenko Beam behavior

DOI10.1051/cocv/2023048MaRDI QIDQ6138482

Jean Jacques Alibert, Francesco dell'Isola, Pierre Seppecher, Emilio Barchiesi

Publication date: 5 September 2023

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

Timoshenko beamhomogenizationEuler-Bernoulli beam\( \Gamma \)-convergence

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Functions of bounded variation, generalizations (26A45) Multiple scale methods for ordinary differential equations (34E13)

Cites Work

• Unnamed Item
• Unnamed Item
• A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium
• Determination of the closure of the set of elasticity functionals
• Strain gradient and generalized continua obtained by homogenizing frame lattices
• A beam model for duoskelion structures derived by asymptotic homogenization and its application to axial loading problems
• Cosserat-Type Rods
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Homogenization of periodic graph-based elastic structures
• In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results
• Homogenization of frame lattices leading to second gradient models coupling classical strain and strain-gradient terms
• Proximité et dualité dans un espace hilbertien

This page was built for publication: A class of one dimensional periodic microstructures exhibiting effective Timoshenko Beam behavior