Journal ArticleDOI
Free vibration analysis of axially functionally graded tapered Bernoulli–Euler microbeams based on the modified couple stress theory
Bekir Akgöz,Ömer Civalek +1 more
TLDR
In this article, the vibration response of non-homogenous and non-uniform microbeams is investigated in conjunction with Bernoulli-Euler beam and modified couple stress theory, where boundary conditions of the microbeam are considered as fixed at one end and free at the other end.About:
This article is published in Composite Structures.The article was published on 2013-04-01. It has received 321 citations till now. The article focuses on the topics: Microbeam.read more
Citations
More filters
Journal ArticleDOI
Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory
Omid Rahmani,O. Pedram +1 more
TL;DR: In this article, the effects of the gradient index, length scale parameter and length-to-thickness ratio on the vibration of functionally graded material (FGM) nanobeams were examined.
Journal ArticleDOI
A review of continuum mechanics models for size-dependent analysis of beams and plates
TL;DR: In this paper, a comprehensive review on the development of higher-order continuum models for capturing size effects in small-scale structures is presented, mainly focusing on the size-dependent beam, plate and shell models developed based on the nonlocal elasticity theory, modified couple stress theory and strain gradient theory.
Journal ArticleDOI
Nonlinear dynamics of a microscale beam based on the modified couple stress theory
TL;DR: In this paper, the nonlinear resonant dynamics of a microscale beam is studied numerically by means of the pseudo-arclength continuation technique, which is capable of continuing both the stable and unstable solution branches as well as determining different types of bifurcations.
Journal ArticleDOI
Flexural wave propagation in small-scaled functionally graded beams via a nonlocal strain gradient theory
TL;DR: In this article, an analytic model of small-scaled functionally graded (FG) beams for the flexural wave propagation analysis is developed based on the nonlocal strain gradient theory, in which the stress accounts for not only the non-local elastic stress field but also the strain gradients stress field.
Journal ArticleDOI
A size-dependent shear deformation beam model based on the strain gradient elasticity theory
Bekir Akgöz,Ömer Civalek +1 more
TL;DR: In this article, a new size-dependent higher-order shear deformation beam model based on modified strain gradient theory is developed, which captures both the microstructural and shear-deformation effects without the need for any shear correction factors.
References
More filters
Journal ArticleDOI
Strain gradient plasticity: Theory and experiment
TL;DR: In this paper, a deformation theory of plasticity is introduced to represent in a phenomenological manner the relative roles of strain hardening and strain gradient hardening, which is a non-linear generalization of Cosserat couple stress theory.
Journal ArticleDOI
Couple stress based strain gradient theory for elasticity
TL;DR: In this paper, an equilibrium relation is developed to govern the behavior of the couples, which constrained the couple stress tensor to be symmetric, and the symmetric curvature tensor became the only properly conjugated high order strain measures in the theory to have a real contribution to the total strain energy of the system.
Journal ArticleDOI
Experiments and theory in strain gradient elasticity
TL;DR: In this paper, a new set of higher-order metrics is developed to characterize strain gradient behaviors in small-scale structures and a strain gradient elastic bending theory for plane-strain beams is developed.
Journal ArticleDOI
A microbend test method for measuring the plasticity length scale
TL;DR: In this paper, a microbend test method for determining the plasticity length scale has been developed and described, which involves the bending of a thin annealed foil around a small diameter cylindrical mandril, followed by measurement of the unloaded and loaded radii of curvature.
Journal ArticleDOI
Analysis of functionally graded plates
TL;DR: In this paper, Navier's solutions of rectangular plates, and finite element models based on the third-order shear deformation plate theory are presented for the analysis of through-thickness functionally graded plates.