Results 21 to 30 of about 29,210 (259)

A Note on Reduced Strain Gradient Elasticity [PDF]

, 2018
We discuss the particular class of strain-gradient elastic material models which we called the reduced or degenerated strain-gradient elasticity. For this class the strain energy density depends on functions which have different differential properties in different spatial directions.
Eremeyev V. A., dell'Isola F.
openaire   +4 more sources

Application of gradient elasticity to benchmark problems of beam vibrations

Journal of the Mechanical Behavior of Materials, 2016
The gradient approach, specifically gradient elasticity theory, is adopted to revisit certain typical configurations on mechanical vibrations. New results on size effects and scale-dependent behavior not captured by classical elasticity are derived ...
Kateb K.M., Almitani K.H., Alnefaie K.A., Abu-Hamdeh N.H., Papadopoulos P., Askes H., Aifantis E.C.   +6 more
doaj   +1 more source

A Concise Review of Gradient Models in Mechanics and Physics

Frontiers in Physics, 2020
The various mathematical models developed over the years to interpret the behavior of materials and corresponding processes they undergo were based on observations and experiments made at that time.
Elias C. Aifantis
doaj   +1 more source

Determination of the Appropriate Gradient Elasticity Theory for Bending Analysis of Nano-beams by Considering Boundary Conditions Effect

Latin American Journal of Solids and Structures
In the present paper, a critique study on some models available in the literature for bending analysis of nano-beams using the gradient elasticity theory is accomplished.
Mahmood Mehrdad Shokrieh, Iman Zibaei
doaj   +1 more source

An energy residual-based approach to gradient effects within the mechanics of generalized continua

Journal of the Mechanical Behavior of Materials, 2012
Generalized continua exhibiting gradient effects are addressed through a method grounded on the energy residual (ER)-based gradient theory by the first author and coworkers.
Polizzotto Castrenze, Pisano Aurora A.
doaj   +1 more source

New applications of a generalized Hooke’s law for second gradient materials

Theoretical and Applied Mechanics Letters, 2015
We provide analytical solutions to the problems of a circular bending of a beam in plane strain and the torsion of a non-circular cross-section beam, the beams obeying a second-gradient elasticity law proposed by the author, following a previous ...
K. Enakoutsa
doaj   +1 more source

Higher-order gradient elasticity models applied to geometrically nonlinear discrete systems [PDF]

Theoretical and Applied Mechanics, 2015
The buckling and post-buckling behavior of a nonlinear discrete repetitive system, the discrete elastica, is studied herein. The nonlinearity essentially comes from the geometrical effect, whereas the constitutive law of each component is ...
Challamel Noël, Kocsis Attila, Wang C.M.   +2 more
doaj   +1 more source

General lattice model of gradient elasticity [PDF]

Modern Physics Letters B, 2014
In this paper, new lattice model for the gradient elasticity is suggested. This lattice model gives a microstructural basis for second-order strain-gradient elasticity of continuum that is described by the linear elastic constitutive relation with the negative sign in front of the gradient.
openaire   +2 more sources

Non-local dispersion and ultrasonic tunneling in concentrationally graded solids

Modern Electronic Materials, 2017
The non-local dispersion of longitudinal ultrasonic waves is shown to appear in the heterogeneous solids due to continuous spatial distributions of their density and/or elasticity (gradient solids).
Alexander B. Shvartsburg, Mikhail D. Malinkovich, Alexander M. Kislyuk   +2 more
doaj   +1 more source

Early‐life high‐fat diet exposure increases Achilles tendon stiffness and induces transcriptomic alterations

FEBS Open Bio, EarlyView.
Early‐life exposure to a high‐fat diet altered intact Achilles tendons in rat offspring, making them thinner, stiffer, and molecularly distinct even without injury. These findings suggest that developmental high‐fat diet exposure may impair tendon quality and increase susceptibility to mechanical overload or tendon injury later in life.
Heyong Yin, Ziyang Yuan, Wenli Jiang, Ai Guo   +3 more
wiley   +1 more source