Gradient elasticity and nonstandard boundary conditions

By C. Polizzotto. 2003

160 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/b4dd552c472db019214f6d48a5582aad28b6f8fb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Materials Chemistry

1. Francesco dell'Isola
2. Raimondo Luciano
3. S. Ali Faghidian
4. Raffaele Barretta
5. Elias C. Aifantis
6. Markus Lazar
7. G. Maugin
8. Ali Javili

In Mechanics of Materials

1. Francesco dell'Isola
2. Raimondo Luciano
3. S. Ali Faghidian
4. Raffaele Barretta
5. G. Maugin
6. Elias C. Aifantis
7. Paul Steinmann
8. Markus Lazar

Citations in the corpus

• Dislocations in second strain gradient elasticity (2006, background): “The interested reader can find boundary conditions derived in second strain elasticity by Mindlin (1965), Jaunzemis (1967), Wu (1992), Polizzotto (2003).”
• A new damage model based on non‐local displacements (2005, background): “Only very recently the homogeneous Neumann boundary conditions have been interpreted, from a thermodynamical viewpoint, as an insulation condition in the so-called non-locality energy residual [19].”
• Geometrically nonlinear higher-gradient elasticity with energetic boundaries (2013, background): “Charlotte, M., Truskinovsky, L., 2008.”
• Longitudinal vibrations of nano-rods by stress-driven integral elasticity (2019, methodology): “The pioneering continuummechanics based methods, addressing size-dependency of nano-structures, include Eringen strain-driven nonlocal integral theory [5], [6], Mindlin strain gradient theory [7], [8], first-order strain gradient theory [9], [10], second-order strain gradient theory [11]–[13], coupl”