A review of continuum mechanics models for size-dependent analysis of beams and plates
This paper presents a comprehensive review on the development of higher-order continuum
models for capturing size effects in small-scale structures. The review mainly focus on the …
models for capturing size effects in small-scale structures. The review mainly focus on the …
Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: applications to sandwich beams and auxetics
The present work is devoted to the modelling of strongly size-dependent bending, buckling
and vibration phenomena of 2D triangular lattices with the aid of a simplified first strain …
and vibration phenomena of 2D triangular lattices with the aid of a simplified first strain …
A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory
A new non-classical sinusoidal plate model is developed on the basis of modified strain
gradient theory. This model takes into account the effects of shear deformation without any …
gradient theory. This model takes into account the effects of shear deformation without any …
Nonlinear behaviour of electrically actuated MEMS resonators
The present study investigates the nonlinear size-dependent behaviour of an electrically
actuated MEMS resonator based on the modified couple stress theory; the microbeam is …
actuated MEMS resonator based on the modified couple stress theory; the microbeam is …
[HTML][HTML] Nonlinear dynamics of a microscale beam based on the modified couple stress theory
In the present study, the nonlinear resonant dynamics of a microscale beam is studied
numerically. The nonlinear partial differential equation governing the motion of the system is …
numerically. The nonlinear partial differential equation governing the motion of the system is …
Nonlinear forced vibrations of a microbeam based on the strain gradient elasticity theory
The nonlinear forced vibrations of a microbeam are investigated in this paper, employing the
strain gradient elasticity theory. The geometrically nonlinear equation of motion of the …
strain gradient elasticity theory. The geometrically nonlinear equation of motion of the …
A size-dependent shear deformation beam model based on the strain gradient elasticity theory
A new size-dependent higher-order shear deformation beam model is developed based on
modified strain gradient theory. The model captures both the microstructural and shear …
modified strain gradient theory. The model captures both the microstructural and shear …
Thermo-mechanical buckling behavior of functionally graded microbeams embedded in elastic medium
Thermo-mechanical size-dependent buckling analysis of embedded functionally graded
(FG) microbeams is performed based on sinusoidal shear deformation beam and modified …
(FG) microbeams is performed based on sinusoidal shear deformation beam and modified …
Nonlinear dynamics of a geometrically imperfect microbeam based on the modified couple stress theory
The present study investigates the nonlinear dynamics of a geometrically imperfect
microbeam numerically on the basis of the modified couple stress theory. Hamilton's …
microbeam numerically on the basis of the modified couple stress theory. Hamilton's …
Buckling analysis of functionally graded microbeams based on the strain gradient theory
The buckling behavior of size-dependent microbeams made of functionally graded materials
(FGMs) for different boundary conditions is investigated on the basis of Bernoulli–Euler …
(FGMs) for different boundary conditions is investigated on the basis of Bernoulli–Euler …