1983
DOI: 10.1063/1.332803
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On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves

Abstract: IIL* OECLASSIFICATION OWNGRADING SIhEDULE 14 DISTRIBUTION STATEMENT f.0 Ih,. P.p.,I) 17 DIST RIOUTIOI ST ATtMENT eof rho ba.i,oc f*do Bloch 20. I11

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Cited by 4,081 publications
(2,370 citation statements)
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References 6 publications
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“…It is clear that Eq. (10) is a generalisation of well known Eringen model [53]. Later, Carpinteri et al [41] considered a material constitutive law in a form…”
mentioning
confidence: 99%
“…It is clear that Eq. (10) is a generalisation of well known Eringen model [53]. Later, Carpinteri et al [41] considered a material constitutive law in a form…”
mentioning
confidence: 99%
“…A Cartesian coordinate system (x, y, z) is used for nanoplate, see Figure 1, with the x, y and z axes along the length, width and thickness of nanoplate, respectively. According to the nonlocal continuum theory Eringen, 1983), the stress at a reference point depends on strain at all points in the body. The nonlocal constitutive equations can be simplified to Latin American Journal of Solids and Structures 11 (2014) 1709-1720…”
Section: Nonlocal Elasticitymentioning
confidence: 99%
“…Under two dimensional cases, the stress-strain relationship based on the Green's function for the nano-switches can be written as [5] ( )…”
Section: The Effective Nonlocal Theory Modelmentioning
confidence: 99%
“…Ordinarily, the classical continuum mechanics is not suitable for interpreting the size-dependent behaviors of nanostructures. Since controlled experiments in nano-scale are difficult and molecular dynamic simulations are computationally expensive [4], the non-classical continuum theories such as nonlocal elasticity [5] or couple-stress [6] had been set up and used to explain the size-dependent behaviors of nanostructures. Y. Tadi Beni, M. R. Abadyan, Manuscript Aminreza Noghrehabadi [7] applied the modified couple-stress theory incorporating with the modified Adomian decomposition solving method to investigate the size dependency of the pull-in characteristics of NEMS.…”
Section: Introductionmentioning
confidence: 99%