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[HTML][HTML] Surface effects in an elastic solid with nanosized surface asperities
MA Grekov, SA Kostyrko - International Journal of Solids and Structures, 2016 - Elsevier
The effects of surface elasticity and surface tension on the stress field near nanosized
surface asperities having at least one dimension in the range 1–100 nm is investigated. The …
surface asperities having at least one dimension in the range 1–100 nm is investigated. The …
Interaction of edge dislocation array with bimaterial interface incorporating interface elasticity
MA Grekov, TS Sergeeva - International Journal of Engineering Science, 2020 - Elsevier
We extend the analytical method developed earlier for constructing periodic Green functions
in the case of a half plane with surface stress to the problem on an interaction between the …
in the case of a half plane with surface stress to the problem on an interaction between the …
Surface–dislocation interaction by various models of surface elasticity
MA Grekov - International Journal of Engineering Science, 2024 - Elsevier
The effect of applying different surface elasticity models related to the Gurtin–Murdoch and
Steigmann–Ogden theories to the problem on an interaction of a dislocation row with a flat …
Steigmann–Ogden theories to the problem on an interaction of a dislocation row with a flat …
General approach to the modified Kirsch problem incorporating surface energy effects
MA Grekov - Continuum Mechanics and Thermodynamics, 2021 - Springer
Within the general approach to the modified Kirsch problem incorporating surface elasticity
and residual surface stress (surface tension) by the original Gurtin–Murdoch model, the …
and residual surface stress (surface tension) by the original Gurtin–Murdoch model, the …
Stress field around cylindrical nanopore by various models of surface elasticity
Surface elasticity models including the Gurtin–Murdoch theory within the framework of
continuum mechanics are analyzed and applied to the 2-D boundary value problem of a …
continuum mechanics are analyzed and applied to the 2-D boundary value problem of a …
A periodic set of edge dislocations in an elastic semi-infinite solid with a planar boundary incorporating surface effects
MA Grekov, TS Sergeeva, YG Pronina… - Engineering Fracture …, 2017 - Elsevier
The 2-D problem of interacting periodic set of edge dislocations and point forces with planar
traction-free surface of semi-infinite elastic solid at the nanoscale is considered. Complex …
traction-free surface of semi-infinite elastic solid at the nanoscale is considered. Complex …
Elastic strain relaxation in interfacial dislocation patterns: I. A parametric energy-based framework
A Vattré - Journal of the Mechanics and Physics of Solids, 2017 - Elsevier
A parametric energy-based framework is developed to describe the elastic strain relaxation
of interface dislocations. By means of the Stroh sextic formalism with a Fourier series …
of interface dislocations. By means of the Stroh sextic formalism with a Fourier series …
[HTML][HTML] Surface/interface effect on the scattering of Love waves by a nano-size surface-breaking crack within an ultra-thin layer bonded to an elastic half-space
Using the mathematical framework of surface/interface elasticity theory, an analytical
solution is presented for the antiplane scattering of Love waves by a surface-breaking crack …
solution is presented for the antiplane scattering of Love waves by a surface-breaking crack …
Torsional surface wave propagation in a transversely isotropic FG substrate with piezoelectric over-layer within surface/interface theory
C Enzevaee, HM Shodja - Acta Mechanica, 2020 - Springer
Propagation of the torsional surface waves in a medium consisting of a functionally graded
(FG) substrate bonded to a thin piezoelectric over-layer has been analytically formulated in …
(FG) substrate bonded to a thin piezoelectric over-layer has been analytically formulated in …
Size dependent free vibration analysis of multicrystalline nanoplates by considering surface effects as well as interface region
This paper, in line with the previous study [23], is concerned with the finite element
implementation of nanoplates. However, in this contribution free vibration responses of …
implementation of nanoplates. However, in this contribution free vibration responses of …