Lattice with long-range interaction of power-law type for fractional non-local elasticity

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:51

Article

Tarasov, Vasily E.

关键词: Fractional elasticity;    Lattice model;    Long-range interaction;    Fractional dynamics;    Non-local elasticity;   

DOI  :  10.1016/j.ijsolstr.2014.04.014

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier Ltd. All rights reserved.

【 授权许可】

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