Update on a class of gradient theories
By Elias C. Aifantis. 2003
526 citations recorded by the source corpus.
Subfields: Materials Chemistry, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/602398911a808190887775c1a3423f0d7ff8e5ae
How researchers see this paper
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In Materials Chemistry
- Raffaele Barretta
- Elias C. Aifantis
- Raimondo Luciano
- S. Ali Faghidian
- Ö. Civalek
- Bekir Akgöz
- G. Romano
- Giuseppe Failla
In Mechanics of Materials
- Raffaele Barretta
- Elias C. Aifantis
- Raimondo Luciano
- S. Ali Faghidian
- Ö. Civalek
- Bekir Akgöz
- G. Romano
- Giuseppe Failla
Citations in the corpus
- Long-range cohesive interactions of non-local continuum faced by fractional calculus (2008, background): “For a review of the recent developments in gradient theories see Aifantis (2003) and references cited therein.”
- Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory (2012, background): “After the study proposed by Koiter [6], some other researchers have made some development on this theory [4,7–13].”
- Longitudinal vibrations of nano-rods by stress-driven integral elasticity (2019, methodology): “These gradient theories of elasticity were then extended to the following size-dependent models as, unified gradient elasticity theory [16]–[18], higher-order gradient Eringen model [19], nonlocal strain elasticity theory [20], [21] and nonlocal-couple stress elasticity theory [22], [23].”
- Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results (2011, background): “(29), that is taking g1 – 0 and g2 – 0, has recently been discussed by Aifantis (2003) and shown to be able to eliminate singularities from stress and strain fields.”