Fractional calculus for continuum mechanics – anisotropic non-locality

• Autorzy: Sumelka W.

Identyfikatory

DOI

10.1515/bpasts-2016-0041

• Języki publikacji: EN

Abstrakty

EN

In this paper, a generalisation of previous author’s formulation of fractional continuum mechanics for the case of anisotropic non-locality is presented. The discussion includes a review of competitive formulations available in literature. The overall concept is based on the fractional deformation gradient which is non-local due to fractional derivative definition. The main advantage of the proposed formulation is its structure, analogous to the general framework of classical continuum mechanics. In this sense, it allows to define similar physical and geometrical meaning of introduced objects. The theoretical discussion is illustrated by numerical examples assuming anisotropy limited to single direction.

Słowa kluczowe

EN

non-local kinematics; fractional calculus; anisotropy

PL

kinematyka; rachunek ułamkowy; anizotropia

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2016
• Tom: Vol. 64, nr 2
• Strony: 361--372
• Opis fizyczny: Bibliogr. 67 poz., wykr., rys.

Twórcy

autor

Sumelka W.

• Institute of Structural Engineering, Poznań University of Technology, Piotrowo 5 St., 60-969 Poznań, Poland

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.