Size dependent free vibration analysis of 2D-functionally graded curved nanobeam by meshless method
The free vibration of two-directional functionally graded (2D-FG) thick curved nanobeam with
concentrated mass is investigated for various boundary conditions. Hamilton's principle is …
concentrated mass is investigated for various boundary conditions. Hamilton's principle is …
Size-dependent nonlinear post-buckling analysis of functionally graded porous Timoshenko microbeam with nonlocal integral models
Y Tang, H Qing - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
Strain-driven (ɛ D) and stress-driven (σ D) two-phase local/nonlocal integral models
(TPNIM) are applied to study the size-dependent nonlinear post-buckling behaviors of …
(TPNIM) are applied to study the size-dependent nonlinear post-buckling behaviors of …
Integral and differential approaches to Eringen's nonlocal elasticity models accounting for boundary effects with applications to beams in bending
AA Pisano, P Fuschi, C Polizzotto - ZAMM‐Journal of Applied …, 2021 - Wiley Online Library
The Eringen's fully nonlocal elasticity model is known to lead to ill‐posed boundary‐value
problems and to suffer some boundary effects arising from particle interactions impeded by …
problems and to suffer some boundary effects arising from particle interactions impeded by …
Buckling analysis of curved sandwich microbeams made of functionally graded materials via the stress-driven nonlocal integral model
Size-dependent buckling analysis for slightly curved sandwich microbeams made of
functionally graded (FG) materials is performed via a stress-driven nonlocal model. The …
functionally graded (FG) materials is performed via a stress-driven nonlocal model. The …
A new finite element method framework for axially functionally-graded nanobeam with stress-driven two-phase nonlocal integral model
Nano-structures always show size effects. In the paper, a new FEM framework is developed
to analyze the mechanical responses of nanobeams made of axially functionally-graded …
to analyze the mechanical responses of nanobeams made of axially functionally-graded …
Closed-form solution in bi-Helmholtz kernel based two-phase nonlocal integral models for functionally graded Timoshenko beams
Static bending behavior of functionally graded (FG) Timoshenko beams is studied via both
strain-and stress-driven two-phase local/nonlocal mixed integral models based on the bi …
strain-and stress-driven two-phase local/nonlocal mixed integral models based on the bi …
Bending and buckling analysis of functionally graded Euler–Bernoulli beam using stress-driven nonlocal integral model with bi-Helmholtz Kernel
YM Ren, H Qing - International Journal of Applied Mechanics, 2021 - World Scientific
Static bending and elastic buckling of Euler–Bernoulli beam made of functionally graded
(FG) materials along thickness direction is studied theoretically using stress-driven integral …
(FG) materials along thickness direction is studied theoretically using stress-driven integral …
Exact solutions for size-dependent bending of Timoshenko curved beams based on a modified nonlocal strain gradient model
Size-dependent bending analysis of Timoshenko curved beams is performed with a
modified nonlocal strain gradient integral model, in which the integral constitutive equation …
modified nonlocal strain gradient integral model, in which the integral constitutive equation …
Finite element formulation for free vibration of the functionally graded curved nonlocal nanobeam resting on nonlocal elastic foundation
In this work, the influence of elastic foundation on a size-dependent free vibration of
functionally graded (FG) curved Euler-Bernoulli nanobeam is investigated on the basis of …
functionally graded (FG) curved Euler-Bernoulli nanobeam is investigated on the basis of …
Well-posedness of two-phase local/nonlocal integral polar models for consistent axisymmetric bending of circular microplates
H Qing - Applied Mathematics and Mechanics, 2022 - Springer
Previous studies have shown that Eringen's differential nonlocal model would lead to the ill-
posed mathematical formulation for axisymmetric bending of circular microplates. Based on …
posed mathematical formulation for axisymmetric bending of circular microplates. Based on …