Nonlinear analysis of beams with rotation gradient dependent potential energy for constrained micro-rotation

DOI10.1016/j.euromechsol.2017.04.002zbMath1406.74369OpenAlexW2605328234MaRDI QIDQ1658672

J. N. Reddy, A. Arbind, Arun R. Srinivasa

Publication date: 15 August 2018

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.2017.04.002

zbMATH Keywords

Bernoulli-Euler beam theoryTimoshenko beam theoryfunctionally graded beamsnonlinear finite element modelmoderate rotationgeneral third-order beam theorymicrostructure-dependent beamrotation gradient-dependent beamthe von Kármán nonlinearity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (4)

Refined shear deformation theories for laminated composite arches and beams with variable thickness: natural frequency analysis ⋮ Nonlinear vibration of FG beams subjected to parametric and external excitations ⋮ A general higher-order one-dimensional model for large deformation analysis of solid bodies ⋮ On the strain gradient elasticity theory for isotropic materials

Cites Work

• Unnamed Item
• Unnamed Item
• Microstructure-dependent couple stress theories of functionally graded beams
• A non-classical third-order shear deformation plate model based on a modified couple stress theory
• A general third-order theory of functionally graded plates with modified couple stress effect and the von Kármán nonlinearity: theory and finite element analysis
• A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
• Elastic materials with couple-stresses
• Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates
• Nonlinear finite element analysis of functionally graded circular plates with modified couple stress theory
• Couple stress based strain gradient theory for elasticity
• Nonlinear theory of simple micro-elastic solids. I
• Effects of couple-stresses in linear elasticity
• Micro-structure in linear elasticity

This page was built for publication: Nonlinear analysis of beams with rotation gradient dependent potential energy for constrained micro-rotation