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Large elastic deflections of bars based on nonlocal elasticity

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2020
AbstractIn this study, large elastic deflections of beams have been investigated using the theory of nonlocal elasticity. Fundamental equations have been derived for large elastic deflections and small strains in the frame of nonlocal elasticity and the solution has been made by the perturbation method.
Güçlü, Gökhan, Artan, Reha
openaire   +3 more sources

Size-dependent thermoelastic damping analysis in nanobeam resonators based on Eringen’s nonlocal elasticity and modified couple stress theories

Journal of Vibration and Control, 2022
Thermoelastic damping has emerged as a critical issue in the modeling and design of micro and nanomechanical systems. Therefore, an extensive research interest is being devoted towards the reduction in thermoelastic damping for micro and nanomechanical ...
H. Kumar, Santwana Mukhopadhyay
semanticscholar   +1 more source

Integral and differential approaches to Eringen's nonlocal elasticity models accounting for boundary effects with applications to beams in bending

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2021
The Eringen's fully nonlocal elasticity model is known to lead to ill‐posed boundary‐value problems and to suffer some boundary effects arising from particle interactions impeded by the body's boundary surface.
A. Pisano, P. Fuschi, C. Polizzotto
semanticscholar   +1 more source

Calibration of the length scale parameter for the stress-driven nonlocal elasticity model from quasi-static and dynamic experiments

Mechanics of Advanced Materials and Structures, 2022
The available experimental results in the literature on the quasi-static bending and free flexural vibration of microcantilevers and nanocantilevers are used to calibrate the length scale parameter of the stress-driven nonlocal elasticity model.
H. Darban, R. Luciano, M. Basista
semanticscholar   +1 more source

Nonlocal elasticity analysis of moderately thick porous functionally graded plates in a hygro-thermal environment

, 2021
This work proposes a novel quasi three-dimensional (3D) approach for the bending analysis of moderately thick plates with a functionally graded material (FGM), in presence of porosities due to some incorrect manufacturing processes.
S. Dastjerdi   +3 more
semanticscholar   +1 more source

Large amplitude free vibration of porous skew and elliptical nanoplates based on nonlocal elasticity by isogeometric analysis

Mechanics of Advanced Materials and Structures, 2021
The current work presents an investigation on size-dependent nonlinear free vibration of porous skew and elliptical nanoplates. Formulations are based on a four-variable higher-order shear deformation plate theory to satisfy automatically the traction ...
Chang Tao, T. Dai
semanticscholar   +1 more source

Size-dependent vibration of functionally graded rotating nanobeams with different boundary conditions based on nonlocal elasticity theory

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2021
The free vibration of rotating functionally graded nanobeams under different boundary conditions is studied based on nonlocal elasticity theory within the framework of Euler-Bernoulli and Timoshenko beam theories.
J. Fang   +3 more
semanticscholar   +1 more source

Nonlinear free vibrations analysis of geometrically imperfect FG nano-beams based on stress-driven nonlocal elasticity with initial pretension force

, 2021
Size-dependent flexural nonlinear free vibrations of geometrically imperfect straight Bernoulli-Euler functionally graded nano-beams are investigated by the stress-driven nonlocal integral model (SDM).
R. Penna   +3 more
semanticscholar   +1 more source

Nonlocal thermoelasticity based on nonlocal heat conduction and nonlocal elasticity

European Journal of Mechanics - A/Solids, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Y. Jun   +2 more
openaire   +2 more sources

Torsional vibration of functionally graded nano-rod under magnetic field supported by a generalized torsional foundation based on nonlocal elasticity theory

Mechanics based design of structures and machines, 2020
This article contains the nonlocal elasticity theory to capture size effects in functionally graded (FG) nano-rod under magnetic field supported by a torsional foundation.
E. Zarezadeh, V. Hosseini, A. Hadi
semanticscholar   +1 more source

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