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 …

On geometrically nonlinear mechanics of nanocomposite beams

MS Vaccaro - International Journal of Engineering Science, 2022 - Elsevier
Nowadays, nanocomposite beams undergoing large displacements are effectively
employed as basic structural components of small-scale electro-mechanical systems, such …

Fracture behaviour of nanobeams through two-phase local/nonlocal stress-driven model

D Scorza, R Luciano, S Vantadori - Composite Structures, 2022 - Elsevier
The aim of the present work is to employ the two-phase local/nonlocal Stress-Driven integral
Model (SDM) to analyse the size-dependent Mode I fracture behaviour of Bernoulli-Euler …

Nonlocal elasticity for nanostructures: a review of recent achievements

R Barretta, F Marotti de Sciarra, MS Vaccaro - Encyclopedia, 2023 - mdpi.com
Recent developments in modeling and analysis of nanostructures are illustrated and
discussed in this paper. Starting with the early theories of nonlocal elastic continua, a …

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 …

Well-posed two-phase nonlocal integral models for free vibration of nanobeams in context with higher-order refined shear deformation theory

P Zhang, H Qing - Journal of Vibration and Control, 2022 - journals.sagepub.com
In this article, the well-posedness of several common nonlocal models for higher-order
refined shear deformation beams is studied. Unlike the case of classic beams models, both …

Hygro-thermal vibration study of nanobeams on size-dependent visco-Pasternak foundation via stress-driven nonlocal theory in conjunction with two-variable shear …

P Zhang, P Schiavone, H Qing - Composite Structures, 2023 - Elsevier
This article presents a hygro-thermal-damping vibration analysis of two-variable shear
deformation beams supported by a visco-Pasternak foundation. In contrast to the majority of …

Stress-driven local/nonlocal mixture model for buckling and free vibration of FG sandwich Timoshenko beams resting on a nonlocal elastic foundation

P Zhang, P Schiavone, H Qing - Composite Structures, 2022 - Elsevier
We study the buckling and free vibration of functionally graded (FG) sandwich Timoshenko
beams resting on an elastic foundation. In contrast to the majority of the literature on this …

Local/nonlocal mixture integral models with bi-Helmholtz kernel for free vibration of Euler-Bernoulli beams under thermal effect

P Zhang, P Schiavone, H Qing - Journal of Sound and Vibration, 2022 - Elsevier
We present predictive models of the free vibration of Euler-Bernoulli beams subjected to a
uniformly thermal environment using two-phase local/nonlocal mixture theory of strain-and …

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 …