Analysis of micropolar elastic beams

DOI10.1016/J.EUROMECHSOL.2008.06.006zbMath1156.74343OpenAlexW2036814795MaRDI QIDQ1006765

J. Martínez

Publication date: 25 March 2009

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2008.06.006

zbMATH Keywords

couple stressmicro-rotationmicropolar beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Polar materials (74A35)

Related Items (14)

Geometrically nonlinear Euler-Bernoulli and Timoshenko micropolar beam theories ⋮ A combined principal component analysis and energy minimization-based approach to model deformation of web core beams ⋮ Structural analysis using a dipolar elastic Timoshenko beam ⋮ Torsion of elastic anisotropic micropolar cylindrical bars ⋮ Investigation of the size effects in Timoshenko beams based on the couple stress theory ⋮ On the generalization of the Timoshenko beam model based on the micropolar linear theory: static case ⋮ A micropolar shell model for hard‐magnetic soft materials ⋮ Wave propagation analysis of micropolar-Cosserat periodic composite panels: spectral element formulation ⋮ Unified theory of structures based on micropolar elasticity ⋮ An efficient numerical method for the quasi-static behaviour of micropolar viscoelastic Timoshenko beams for couple stress problems ⋮ A size-dependent nonlinear microbeam model based on the micropolar elasticity theory ⋮ Theory of micropolar gyroelastic continua ⋮ The general solution for dynamical problem of rectangular micro-polar beam vibrating at high frequency ⋮ Flexural wave propagation in periodic micropolar-Cosserat panels: spectral element formulation

Cites Work

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• A GEOMETRICALLY EXACT PLANAR COSSERAT SHELL-MODEL WITH MICROSTRUCTURE: EXISTENCE OF MINIMIZERS FOR ZERO COSSERAT COUPLE MODULUS
• MICROPOLAR AND DIRECTOR THEORIES OF PLATES
• Cosserat theories: Shells, rods and points

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