Results 141 to 150 of about 1,345,655 (169)

A research into bi-Helmholtz type of nonlocal elasticity and a direct approach to Eringen’s nonlocal integral model in a finite body

Acta Mechanica, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. Chr. Koutsoumaris, K. G. Eptaimeros
openaire   +1 more source

Reflection, transmission, and dissipation of plane waves in sandwiched functionally graded thermo- electro-elastic nanoplates via nonlocal integral elasticity theory

Composite Structures, 2023
Yanwei Liu, Jiangong Yu, Xianhui Wang
exaly   +2 more sources

Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours

Continuum Mechanics and Thermodynamics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Romano, Giovanni, Luciano, Raimondo, Barretta, Raffaele, Diaco, Marina   +3 more
openaire   +2 more sources

Nonlocal integral elasticity analysis of nanobeams by employing finite element method

AIP Conference Proceedings, 2016
This work revolves around the integral form of nonlocal theory of elasticity by employing finite element method to carry out applications for nanobeams. The integral approach of nonlocal theory takes advantage of deducing energy consistent formulas, while the differential approach does not and reveals inconsistencies giving rise to paradoxes.
K. G. Eptaimeros, C. Chr. Koutsoumaris, G. J. Tsamasphyros   +2 more
openaire   +1 more source

Nonlinear flexure of Timoshenko–Ehrenfest nano-beams via nonlocal integral elasticity

The European Physical Journal Plus, 2020
Nonlinear flexural behavior of elastic nano-beams under static loads is investigated in the framework of the Eringen’s nonlocal integral elasticity. The integro-differential and boundary conditions of equilibrium for inflected Timoshenko–Ehrenfest elastic beams with von Karman nonlinear strains are established by using the minimum total potential ...
Mahdad Fazlali, S. Ali Faghidian, Mohsen Asghari, Hossein M. Shodja   +3 more
openaire   +1 more source

Isogeometric analysis of Mindlin nanoplates based on the integral formulation of nonlocal elasticity

Multidiscipline Modeling in Materials and Structures, 2018
Purpose It has been revealed that application of the differential form of Eringen’s nonlocal elasticity theory to some cases (e.g. cantilevers) leads to paradoxical results, and recourse must be made to the integral version of Eringen’s nonlocal model. The purpose of this paper, within the framework of integral form of Eringen’s nonlocal theory, is to
Amir Norouzzadeh, Reza Ansari, Hessam Rouhi   +2 more
openaire   +1 more source

Integral nonlocal stress gradient elasticity of functionally graded porous Timoshenko nanobeam with symmetrical or anti‐symmetrical condition

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023
AbstractUtilization of symmetrical or anti‐symmetrical condition could improve the calculation efficiency. In this paper, a mathematical formulation is proposed to deal with the symmetrical or anti‐symmetrical condition in an integral nonlocal stress gradient model (INSGM), which is transformed equivalently into differential form with constitutive ...
Chang Li, Hai Qing
openaire   +1 more source

Finite integration method for nonlocal elastic bar under static and dynamic loads

Engineering Analysis with Boundary Elements, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, M., Hon, Y. C., Korakianitis, T., Wen, P. H.   +3 more
openaire   +2 more sources

Free vibration characteristics of nanoscaled beams based on nonlocal integral elasticity theory

Journal of Vibration and Control, 2017
In the present article, the total potential energy principle and the nonlocal integral elasticity theory have been used to develop a novel finite element method for studying the free vibration behavior of nano-scaled beams. The formulations are based on Euler-Bernoulli beam theory and this method is able to properly analyze the free vibration of beams ...
Maysam Naghinejad, Hamid Reza Ovesy
openaire   +1 more source

Theoretical analysis on elastic buckling of nanobeams based on stress-driven nonlocal integral model

Applied Mathematics and Mechanics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Peng, Qing, Hai, Gao, Cunfa
openaire   +1 more source