Development of size-dependent consistent couple stress theory of Timoshenko beams

DOI10.1016/j.apm.2019.10.058zbMath1481.74010OpenAlexW2982423532WikidataQ126834813 ScholiaQ126834813MaRDI QIDQ2174385

Mojtaba Sadighi, Mitra Danesh Pazhooh, Seyed Ehsan Alavi, Jean-François Ganghoffer

Publication date: 21 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.10.058

zbMATH Keywords

Timoshenko beamsize-dependentconsistent couple-stressfinite elements solutionlinear static

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stress (74A10)

Related Items (7)

Free vibration analysis of nonlocal nanobeams: a comparison of the one-dimensional nonlocal integral Timoshenko beam theory with the two-dimensional nonlocal integral elasticity theory ⋮ Phenomenon of sharp change and concise solutions for Timoshenko beam based on modified couple stress theory ⋮ Penalty \(\mathrm{C}^0 8\)-node quadrilateral and 20-node hexahedral elements for consistent couple stress elasticity based on the unsymmetric finite element method ⋮ Finite element models with node-dependent kinematics based on Legendre polynomials for the global-local analysis of compact and thin walled beams ⋮ Non-conforming Trefftz finite element implementation of orthotropic Kirchhoff plate model based on consistent couple stress theory ⋮ An asymptotic consistent couple stress theory for the three‐dimensional free vibration analysis of functionally graded microplates resting on an elastic medium ⋮ Elastic buckling and free vibration analysis of functionally graded Timoshenko beam with nonlocal strain gradient integral model

Cites Work

• Unnamed Item
• Unnamed Item
• Investigation of the size effects in Timoshenko beams based on the couple stress theory
• The size-dependent natural frequency of Bernoulli-Euler micro-beams
• A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
• Size dependent static and dynamic behavior of trabecular bone based on micromechanical models of the trabecular architecture
• On size-dependent Timoshenko beam element based on modified couple stress theory
• Couple stress based strain gradient theory for elasticity
• Effects of couple-stresses in linear elasticity
• An improved two-node timoshenko beam finite element
• A variant of the linear isotropic indeterminate couple-stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and orthogonal boundary conditions

This page was built for publication: Development of size-dependent consistent couple stress theory of Timoshenko beams