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On fractional peridynamic deformations

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Abstract

Peridynamic theory is a new framework concerning materials that may form discontinuities, such as cracks, as a result of deformation. Nevertheless, fractional calculus is a mathematical branch dealing with non-smooth functions too. The present study introduces fractional calculus in the description of peridynamic deformation. Only one-dimensional fractional peridynamic deformations (bars) are considered. The theory is applied to a homogeneous and non-homogeneous strain deformation of a bar.

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  1. Mathematical Sciences Department, Hellenic Army Academy, Vari, 16673, Greece

    A. K. Lazopoulos

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Lazopoulos, A.K. On fractional peridynamic deformations. Arch Appl Mech 86, 1987–1994 (2016). https://doi.org/10.1007/s00419-016-1163-3

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  • DOI: https://doi.org/10.1007/s00419-016-1163-3

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