Results 11 to 20 of about 6,336 (161)

Nonlocal integral elasticity for third-order small-scale beams

Acta Mechanica, 2022
AbstractSmall-scale beams are basic structural components of miniaturized electro-mechanical systems whose design requires accurate modeling of size effects. In this research, the size-dependent behavior of nonlocal elastic beams is investigated by adopting the stress-driven elasticity theory.
Vaccaro M. S., Barretta R., Marotti de Sciarra F., Reddy J. N.   +3 more
openaire   +2 more sources

Nonlocal Analysis of Longitudinal Dynamic Behavior of Nanobars with Surface Energy Effect [PDF]

Mechanics of Advanced Composite Structures, 2019
Due to considerable stored energy in surfaces of nano-scales in comparison with the stored energy in their bulk, considering the surface energy is necessary for the analysis of various behaviors of nano-scales for more precise design and manufacturing ...
Reza Nazemnezhad, Mostafa Moazzeni
doaj   +1 more source

The Cauchy Problem for a One Dimensional Nonlinear Peridynamic Model [PDF]

, 2008
This paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an infinitely long elastic bar. The issues of local well-posedness and smoothness of the solutions are discussed.
H.A. Erbay, A. Erkip, G.M. Muslu, Silling, Kunin, Rogula, Eringen, Silling, Weckner, Emmrich, Emmrich, Du, Duruk, Duruk, Erbay, Taylor, Kalantarov   +16 more
core   +2 more sources

On the application of the partition of unity method for nonlocal response of low-dimensional structures

Journal of the Mechanical Behavior of Materials, 2014
The main objectives of the paper are to (1) present an overview of nonlocal integral elasticity and Aifantis gradient elasticity theory and (2) discuss the application of partition of unity methods to study the response of low-dimensional structures.
Natarajan Sundararajan
doaj   +1 more source

Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations [PDF]

, 2010
We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonnegative.
A. Erkip, Alvarez-Samaniego, Christiansen, Constantin, Constantin, Constantin, De Godefroy, Duruk, Duruk, H.A. Erbay, Haddow, Kalantarov, Khusnutdinova, Ladas, Levine, N. Duruk, Rosenau, Runst, Schneider, Wang, Wattis   +20 more
core   +3 more sources

Derivation of the Camassa-Holm equations for elastic waves [PDF]

, 2015
In this paper we provide a formal derivation of both the Camassa-Holm equation and the fractional Camassa-Holm equation for the propagation of small-but-finite amplitude long waves in a nonlocally and nonlinearly elastic medium.
Erbay, Husnu Ata, Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, Albert   +3 more
core   +1 more source

Review of Some Promising Fractional Physical Models [PDF]

, 2015
Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by power-law non-locality, power-law long-term memory or fractal properties by using integrations and ...
Tarasov, Vasily E.
core   +1 more source

Modified Nonlocal Strain Gradient Elasticity for Nano-Rods and Application to Carbon Nanotubes

Applied Sciences, 2019
Nowadays, the modified nonlocal strain gradient theory provides a mathematically well-posed and technically reliable methodology to assess scale effects in inflected nano-structures.
Raffaele Barretta, Marko Čanadija, Francesco Marotti de Sciarra   +2 more
doaj   +1 more source

Fractional Gradient Elasticity from Spatial Dispersion Law [PDF]

, 2014
Non-local elasticity models in continuum mechanics can be treated with two different approaches: the gradient elasticity models (weak non-locality) and the integral non-local models (strong non-locality).
Tarasov, Vasily E.
core   +3 more sources

Concentrated Couple in a Plane and in a Half-Plane in the Framework of Fractional Nonlocal Elasticity

Applied Sciences
In nonlocal elasticity, the constitutive equation for the stress tensor is written in an integral form, with the weight function, referred to as the nonlocality kernel, often being the Green’s function for the partial differential equation. In this paper,
Yuriy Povstenko, Tamara Kyrylych, Bożena Woźna-Szcześniak, Ireneusz Szcześniak, Andrzej Yatsko   +4 more
doaj   +1 more source