2017/12/20 by Ali R. Hadjesfandiari, Arezoo Hajesfandiari, Hadjesfandiari, Ali R. +5
Engineering · Materials Science · #Composite Structure Analysis and Optimization #FOS: Physical sciences #General Physics (physics.gen-ph) #Nonlocal and gradient elasticity in micro/nano structures #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.1712.08527
openalex publication_date 2017/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, a new size-dependent Timoshenko beam model is developed based on the consistent couple stress theory. In the present formulation, the governing equations and corresponding boundary conditions are obtained. Afterwards, this formulation is used to investigate size-dependency for several elementary beam problems. Analytical solutions are obtained for pure bending of a beam and for a cantilever beam with partially and fully clamped boundary conditions. These analytical results are then compared to the numerical results from a two-dimensional finite element formulation for the corresponding couple stress continuum problem.