On fractional peridynamic deformations

On fractional peridynamic deformations

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...

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Veröffentlicht in:Archive of applied mechanics (1991) 2016-12, Vol.86 (12), p.1987-1994
1. Verfasser: Lazopoulos, A. K.
Format: Artikel
Sprache:eng
Schlagworte:
Bars
Classical Mechanics
Deformation
Engineering
Fractional calculus
Functions (mathematics)
Mathematical analysis
Original
Theoretical and Applied Mechanics
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Beschreibung
Zusammenfassung: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.
ISSN:0939-1533
1432-0681
DOI:10.1007/s00419-016-1163-3