Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
277648 | International Journal of Solids and Structures | 2014 | 8 Pages |
Abstract
Lattice models with long-range interactions of power-law type are suggested as a new type of microscopic model for fractional non-local elasticity. Using the transform operation, we map the lattice equations into continuum equation with Riesz derivatives of non-integer orders. The continuum equations that are obtained from the lattice model describe fractional generalization of non-local elasticity models. Particular solutions and correspondent asymptotic of the fractional differential equations for displacement fields are suggested for the static case.
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Civil and Structural Engineering
Authors
Vasily E. Tarasov,