A comprehensive review on the vibration analyses of small-scaled plate-based structures by utilizing the nonclassical continuum elasticity theories

AA Nuhu, B Safaei - Thin-Walled Structures, 2022 - Elsevier
In recent years, mechanical characteristics including vibration, bending, buckling and
postbuckling, stability and instability, etc. of small-scaled structures (such as …

A review on stress-driven nonlocal elasticity theory

M Shariati, M Shishesaz, H Sahbafar… - Journal of …, 2021 - jcamech.ut.ac.ir
The behavior of materials at the nanoscale cannot be studied by classical theories.
Accordingly, new theories have been developed to predict the behavior of materials at the …

Size dependent free vibration analysis of 2D-functionally graded curved nanobeam by meshless method

I Ahmadi, J Sladek, V Sladek - Mechanics of Advanced Materials …, 2024 - Taylor & Francis
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 …

Bi-Helmholtz kernel based stress-driven nonlocal integral model with discontinuity for size-dependent fracture analysis of edge-cracked nanobeam

Y Tang, H Qing - Mechanics of Advanced Materials and Structures, 2024 - Taylor & Francis
Mathematical formulation is proposed to deal with average bi-Helmholtz kernel (BHK) based
stress-driven nonlocal integral model (SDNIM) with discontinuity, which is converted into …

Size-effect analysis on vibrational response of functionally graded annular nano-plate based on nonlocal stress-driven method

M Shishesaz, M Shariati, M Hosseini - International Journal of …, 2022 - World Scientific
Dynamic analysis of functionally graded size-dependent annular nano-plate is the main
concern in this study. To obtain the vibrational behavior of this plate, the stress-driven …

FEA investigation of elastic buckling for functionally graded material (FGM) thin plates with different hole shapes under uniaxial loading

M Elkafrawy, A Alashkar, R Hawileh, M AlHamaydeh - Buildings, 2022 - mdpi.com
In this paper, an investigation of linear eigenvalue buckling of functionally graded material
(FGM) plates under uniaxial loading is carried out. The computer model is analyzed using …

Buckling analysis of functionally graded materials (FGM) thin plates with various circular cutout arrangements

A Alashkar, M Elkafrawy, R Hawileh… - Journal of Composites …, 2022 - mdpi.com
In this paper, several analyses were conducted to investigate the buckling behavior of
Functionally Graded Material (FGM) thin plates with various circular cutout arrangements …

Closed-form solution in bi-Helmholtz kernel based two-phase nonlocal integral models for functionally graded Timoshenko beams

P Zhang, H Qing - Composite Structures, 2021 - Elsevier
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 …

On well-posedness of two-phase nonlocal integral models for higher-order refined shear deformation beams

P Zhang, H Qing - Applied Mathematics and Mechanics, 2021 - Springer
Due to the conflict between equilibrium and constitutive requirements, Eringen's strain-
driven nonlocal integral model is not applicable to nanostructures of engineering interest. As …

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 …