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arXiv · 1502.05492

Lattice with Long-Range Interaction of Power-Law Type for Fractional Non-Local Elasticity

Vasily E. Tarasov
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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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Vasily E. Tarasov. 2015-02-19. Lattice with Long-Range Interaction of Power-Law Type for Fractional Non-Local Elasticity. https://doi.org/10.1016/j.ijsolstr.2014.04.014

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