On the advances of computational nonclassical continuum theories of elasticity for bending analyses of small-sized plate-based structures: a review

AA Nuhu, B Safaei - Archives of Computational Methods in Engineering, 2023‏ - Springer
Nonclassical continuum theories of elasticity (NCTE) have been extensively used in the
mechanical analyses of small-sized structures due to their effective and tremendous ability …

Elastic buckling and free vibration analysis of functionally graded Timoshenko beam with nonlocal strain gradient integral model

Y Tang, H Qing - Applied Mathematical Modelling, 2021‏ - Elsevier
In this work, nonlocal strain gradient integral model is applied to study the elastic buckling
and free vibration response of functionally graded (FG) Timoshenko beam which is made of …

Strain gradient viscoelasticity theory of polymer networks

Y Jiang, L Li, Y Hu - International Journal of Engineering Science, 2023‏ - Elsevier
A physically-based strain gradient viscoelasticity theory is proposed specially for polymer
networks, accounting for the strain gradient effect and the history-dependent behavior …

Bending, buckling and vibration analysis of Bi-directional functionally graded circular/annular microplate based on MCST

L Wei, H Qing - Composite Structures, 2022‏ - Elsevier
The modified couple stress theory (MCST) is applied to analyze axisymmetric static bending,
elastic buckling, and free vibration behaviors of circular/annular microplates made of bi …

[HTML][HTML] Nonlinear forced vibration of the FGM piezoelectric microbeam with flexoelectric effect

L Shan, G **ao, A Li, S Zhou, L Wang, W Su… - Alexandria Engineering …, 2025‏ - Elsevier
In this paper, based on the extended dielectric theory, Euler beams theory and von Karman's
geometric nonlinearity, a nonlinear FGM piezoelectric microbeam model is established with …

Electro-mechanical responses of transversely isotropic piezoelectric nano-plate based on the nonlocal strain gradient theory with flexoelectric effect

S Zhou, L Qi, R Zhang, A Li, J Qiao, S Zhou - Acta Mechanica, 2023‏ - Springer
Based on the nonlocal strain gradient theory and flexoelectricity theory, a new model of
transversely isotropic piezoelectric rectangular nano-plate subjected to a distributed load is …

On simplified deformation gradient theory of modified gradient elastic Kirchhoff–Love plate

Y Zhou, K Huang - European Journal of Mechanics-A/Solids, 2023‏ - Elsevier
A concise modified gradient elastic Kirchhoff–Love plate model with two length-scale
parameters is proposed based on simplified deformation gradient theory. A sixth-order basic …

Size Effect on the Axisymmetric Vibrational Response of‎ Functionally Graded Circular Nano-Plate Based on the Nonlocal Stress-Driven Method

M Shariati, M Shishesaz, R Mosalmani… - Journal of Applied and …, 2022‏ - jacm.scu.ac.ir
In this work, the axisymmetric-vibrational behavior of a size-dependent circular nano-plate
with functionally graded material with different types of boundary conditions was …

On some basic aspects of flexoelectricity in the mechanics of materials

A Li, B Wang, S Yang - International Journal of Engineering Science, 2021‏ - Elsevier
Flexoelectricity is an interesting electromechanical coupling that exists in all dielectrics when
the deformation is inhomogeneous. The intensity of flexoelectricity is highly related to the …

Free vibration analysis of graded porous circular micro/nanoplates with various boundary conditions based on the nonlocal elasticity theory

Q Li, S Wang, J Zhang - ZAMM‐Journal of Applied Mathematics …, 2023‏ - Wiley Online Library
In this article, the free vibrations of graded porous circular nanoplates subjected to various
boundary conditions have been investigated. It is assumed that the performance of graded …