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Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results

International Journal of Solids and Structures · 2011 · Vol. 48(13) · pp. 1962–1990
Harm AskesElias C. Aifantis
Nonlocal and gradient elasticity in micro/nano structuresThermoelastic and Magnetoelastic PhenomenaComposite Material MechanicsElasticity (physics)StaticsFinite element methodLength scaleLinear elasticityMathematicsGravitational singularityApplied mathematicsMathematical analysisMathematical optimization

Funding

  • European Commission
  • Engineering and Physical Sciences Research Council
Citations
865
FWCI
18.87
field-weighted impact
References
176
Percentile
100%
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Citations per year
References
On first strain-gradient theories in linear elasticity
International Journal of Solids and Structures · 1968 · 1,600 citations
Subdivision surfaces: a new paradigm for thin-shell finite-element analysis
International Journal for Numerical Methods in Engineering · 2000 · 643 citations
Elasticity theory of materials with long range cohesive forces
International Journal of Solids and Structures · 1967 · 759 citations
Gradient‐dependent plasticity: Formulation and algorithmic aspects
International Journal for Numerical Methods in Engineering · 1992 · 921 citations
Experiments and theory in strain gradient elasticity
Journal of the Mechanics and Physics of Solids · 2003 · 2,964 citations
Damage, gradient of damage and principle of virtual power
International Journal of Solids and Structures · 1996 · 547 citations
Second gradient of strain and surface-tension in linear elasticity
International Journal of Solids and Structures · 1965 · 2,006 citations
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