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gradient elasticity
Description:
A continuum mechanics theory that incorporates spatial gradients of deformation or strain to model material behavior at small scales.
Primary topic:
Nonlocal and gradient elasticity in micro/nano structures (69%)
Related topic:
Nonlocal and gradient elasticity in micro/nano structures (69%)
OpenAlex ID:
keywords/gradient-elasticity
Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results
2011
·
Harm Askes
, Elias C. Aifantis
·
International Journal of Solids and Structures
·
901
PDF
Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage
2009
·
Samuel Forest
·
Journal of Engineering Mechanics
·
646
The small length scale effect for a non-local cantilever beam: a paradox solved
2008
·
N Challamel
, C M Wang
·
Nanotechnology
·
531
Update on a class of gradient theories
2003
·
E.C. Aifantis
·
Mechanics of Materials
·
519
On Some Aspects in the Special Theory of Gradient Elasticity
1997
·
B.S. Altan,
, E.C. Aifantis,
·
Journal of the Mechanical Behavior of Materials
·
479
A simple approach to solve boundary-value problems in gradient elasticity
1993
·
C. Q. Ru
, E. C. Aifantis
·
Acta Mechanica
·
445
On the structure of the mode III crack-tip in gradient elasticity
1992
·
S.B. Altan
, E.C. Aifantis
·
Scripta Metallurgica et Materialia
·
336
Bending and stability analysis of gradient elastic beams
2003
·
S. Papargyri-Beskou
, K.G. Tsepoura
, et al.
·
International Journal of Solids and Structures
·
327
On the gradient approach – Relation to Eringen’s nonlocal theory
2011
·
Elias C. Aifantis
·
International Journal of Engineering Science
·
241
One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure
2002
·
Andrei V. Metrikine
, Harm Askes
·
European Journal of Mechanics - A/Solids
·
222
Gradient elasticity and flexural wave dispersion in carbon nanotubes
2009
·
Harm Askes
, Elias C. Aifantis
·
Physical Review B
·
215
A Two-Dimensional Gradient-Elasticity Theory for Woven Fabrics
2014
·
Francesco dell’Isola
, David Steigmann
·
Journal of Elasticity
·
203
PDF
Wave Processes in Solids with Microstructure
2003
·
Vladimir I Erofeyev
·
Series on stability, vibration and control of systems - Series A
·
197
Wave dispersion in gradient elastic solids and structures: A unified treatment
2009
·
S. Papargyri-Beskou
, D. Polyzos
, et al.
·
International Journal of Solids and Structures
·
188
Static, stability and dynamic analysis of gradient elastic flexural Kirchhoff plates
2007
·
S. Papargyri-Beskou
, D. E. Beskos
·
Archive of Applied Mechanics
·
167
Some links between recent gradient thermo-elasto-plasticity theories and the thermomechanics of generalized continua
2010
·
Samuel Forest
, Elias C. Aifantis
·
International Journal of Solids and Structures
·
158
Torsional surface waves in a gradient-elastic half-space
2000
·
H.G. Georgiadis
, I. Vardoulakis
, et al.
·
Wave Motion
·
156
Gradient elasticity and nonstandard boundary conditions
2003
·
Castrenze Polizzotto
·
International Journal of Solids and Structures
·
155
Dislocations in the theory of gradient elasticity
1999
·
M.Yu. Gutkin
, E.C. Aifantis
·
Scripta Materialia
·
144
Isogeometric analysis of 2D gradient elasticity
2010
·
Paul Fischer
, Markus Klassen
, et al.
·
Computational Mechanics
·
141
Integral equations with hypersingular kernels––theory and applications to fracture mechanics
2003
·
Youn-Sha Chan
, Albert C. Fannjiang
, et al.
·
International Journal of Engineering Science
·
133
PDF
Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage
2016
·
Samuel Forest
·
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
·
132
Static and dynamic analysis of a gradient-elastic bar in tension
2002
·
K. G. Tsepoura
, S. Papargyri-Beskou
, et al.
·
Archive of Applied Mechanics
·
131
Exploring the applicability of gradient elasticity to certain micro/nano reliability problems
2008
·
Elias C. Aifantis
·
Microsystem Technologies
·
122
One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure
2002
·
Harm Askes
, Andrei V. Metrikine
·
European Journal of Mechanics - A/Solids
·
122
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Works count:
698
Citation count:
15,840
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