Size-dependent vibration and stability of moderately thick functionally graded micro-plates using a differential quadrature-based geometric map** scheme

B Zhang, H Li, L Kong, H Shen, X Zhang - Engineering Analysis with …, 2019 - Elsevier
In this paper, we propose a novel differential quadrature-based geometric map** scheme
to address the C 1-continuity requirements of the in-plane and out-of-plane kinematic …

Nonlinear static and dynamic isogeometric analysis of functionally graded microplates with graphene-based nanofillers reinforcement

NV Nguyen, DH Phan, J Lee - Aerospace Science and Technology, 2022 - Elsevier
The main contribution of this study is to propose an efficient and straightforward numerical
model for exploring size-dependent geometrically nonlinear static and dynamic …

Nonlinear thermal buckling and postbuckling analysis of bidirectional functionally graded tapered microbeams based on Reddy beam theory

MA Attia, SA Mohamed - Engineering with Computers, 2022 - Springer
In the present study, the nonlinear thermal buckling, postbuckling, and snap-through
phenomenon of higher-order shear deformable tapered bidirectional functionally graded …

Vibration frequency and mode localization characteristics of strain gradient variable-thickness microplates

T Deng, B Zhang, J Liu, H Shen, X Zhang - Thin-Walled Structures, 2024 - Elsevier
Based on the modified strain gradient theory and Kirchhoff–Love assumptions, a free
vibration model is established for variable-thickness microplates with three material length …

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 …

Vibration analysis of scale-dependent thin shallow microshells with arbitrary planform and boundary conditions

AM Dehrouyeh-Semnani, H Mostafaei - International Journal of Engineering …, 2021 - Elsevier
The current article presents a thorough investigation into the natural frequencies and mode
shapes of thin doubly curved shallow microshells by taking into account the influence of …

A size-dependent nonlinear isogeometric approach of bidirectional functionally graded porous plates

NV Nguyen, DH Phan - Structures, 2024 - Elsevier
Recent progress in materials science and fabrication technologies, such as additive
manufacturing (AM) or 3D printing, has facilitated the design and production of intricate multi …

Coupling effects of surface energy, strain gradient, and inertia gradient on the vibration behavior of small-scale beams

B Zhang, H Li, L Kong, H Shen, X Zhang - International Journal of …, 2020 - Elsevier
This paper develops three surface energy-enriched gradient elastic beam models,
respectively, in the contexts of Euler-Bernoulli, Timoshenko, and Levinson-Brickford-Reddy …

Size effect in piezoelectric semiconductor nanostructures

J Sladek, V Sladek, M Repka… - Journal of Intelligent …, 2022 - journals.sagepub.com
A gradient theory is applied to the mechanical constitutive equations for piezoelectric
semiconductor nanostructures. This is achieved by considering the strain gradients in the …

Size-dependent thermal bending of bilayer microbeam based on modified couple stress theory and Timoshenko beam theory

X Ye, H Ma, X Liu, Y Wei - European Journal of Mechanics-A/Solids, 2023 - Elsevier
The bilayer microbeam can be assigned with two different thermal expansion coefficients, so
that the microbeam can be used as a thermal actuator, which can provide bending with …