Lattice model with power-law spatial dispersion for fractional elasticity

• Autorzy: Vasily Tarasov
• Języki publikacji: EN

Abstrakty

EN

A lattice model with a spatial dispersion corresponding to a power-law type is suggested. This model serves as a microscopic model for elastic continuum with power-law non-locality. We prove that the continuous limit maps of the equations for the lattice with the power-law spatial dispersion into the continuum equations with fractional generalizations of the Laplacian operators. The suggested continuum equations, which are obtained from the lattice model, are fractional generalizations of the integral and gradient elasticity models. These equations of fractional elasticity are solved for two special static cases: fractional integral elasticity and fractional gradient elasticity.

Słowa kluczowe

EN

fractional derivatives; lattice model; spatial dispersion; elasticity; fractional elasticity

• Czasopismo: Open Physics
• Rocznik: 2013
• Tom: 11
• Numer: 11
• Strony: 1580-1588

Daty

wydano

2013-11-01

online

2013-12-10

Twórcy

autor

Vasily Tarasov

• Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, 119991, Russia,

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Identyfikatory

DOI

10.2478/s11534-013-0308-z