Results 1 to 10 of about 429 (115)

Toward fractional gradient elasticity [PDF]

Journal of the Mechanical Behavior of Materials, 2014
The use of an extension of gradient elasticity through the inclusion of spatial derivatives of fractional order to describe the power law type of non-locality is discussed. Two phenomenological possibilities are explored. The first is based on the Caputo
Tarasov Vasily E., Aifantis Elias C.
doaj   +3 more sources

A Proposition for a "Self-Consistent" Gradient Elasticity [PDF]

Journal of the Mechanical Behavior of Materials, 2009
The notion of “self-consistent” boundary conditions in gradient elasticity is explored. They are introduced in the place of the “standard” boundary conditions commonly used in the formulation of gradient elasticity problems derived through corresponding variational principles.
Efremidis, G., Pugno, N., Aifantis, E.G.   +2 more
doaj   +3 more sources

Gradient elasticity applied to a crack [PDF]

Journal of the Mechanical Behavior of Materials, 2013
The aim of this paper is to investigate the stress and the displacement field of a crack within a robust version of gradient elasticity, focusing at the standard Mode I, II, III problems.
Konstantopoulos Iason, Aifantis Elias
doaj   +2 more sources

On gradient field theories: gradient magnetostatics and gradient elasticity [PDF]

Philosophical Magazine, 2014
40 pages, to appear in: Philosophical ...
Markus Lazar
exaly   +3 more sources

A new gradient elasticity model for the elastic boreholes [PDF]

IOP Conference Series: Earth and Environmental Science, 2021
Abstract A new gradient elasticity model is employed to discuss strain gradient effects and its ability in predicting size effects on an elastic rock mass with microstructure, around an axisymmetric borehole under internal pressure and remote isotropic compressive stress.
G Efremidis, I Tsagrakis
openaire   +1 more source

Gradient-enriched linear-elastic tip stresses to perform the highcycle fatigue assessment of notched plain concrete [PDF]

Fracture and Structural Integrity, 2015
Gradient Elasticity (GE) allows the stress analysis to be performed by taking into account the size of the dominant source of microstructural heterogeneity via a suitable length scale parameter.
C. Bagni, H. Askes, L. Susmel
doaj   +4 more sources

Gradient elasticity solutions of 2D nano-beams

Applications in Engineering Science, 2023
In this study, the exact analytical solutions of a two-dimensional linear homogeneous isotropic nano-beam in gradient elasticity are studied. Four different types of two-dimensional cantilever beams and related boundary conditions are considered.
Teoman Özer
doaj   +1 more source

Gradient Elasticity with Interfaces as Surfaces of Discontinuity for the Strain Gradient

Journal of the Mechanical Behavior of Materials, 2007
Aifantis, K.E., Askes, H.
doaj   +2 more sources

A new microcellular foaming strategy to develop structure-gradient thermoplastic polyurethane foams with enhanced elasticity

Materials & Design, 2023
Functionally graded polymer foams are advanced materials that exhibit great potential for applications in energy absorption, electromagnetic interference shielding, and high-elasticity due to the graded cellular structure for mechanical performance and ...
Lijun Zhu, Guilong Wang, Zhaorui Xu, Xinyang Li, Chengming Yang, Guoqun Zhao   +5 more
doaj   +1 more source

Weak Solutions within the Gradient-Incomplete Strain-Gradient Elasticity [PDF]

Lobachevskii Journal of Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eremeyev V. A., dell'Isola F.
openaire   +1 more source