Fractional continua for linear elasticity

• Autorzy: Sumelka W. , Blaszczyk T.
• Języki publikacji: EN

Abstrakty

EN

Fractional continua is a generalisation of the classical continuum body. This new concept shows the application of fractional calculus in continuum mechanics. The advantage is that the obtained description is non-local. This natural non-locality is inherently a consequence of fractional derivative definition which is based on the interval, thus variates from the classical approach where the definition is given in a point. In the paper, the application of fractional continua to one-dimensional problem of linear elasticity under small deformation assumption is presented.

Słowa kluczowe

EN

non-local models; fractional calculus

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2014
• Tom: Vol. 66, nr 3
• Strony: 147--172
• Opis fizyczny: Bibliogr. 38 poz., rys.

Twórcy

autor

Sumelka W.

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

autor

Blaszczyk T.

• Institute of Mathematics Częstochowa University of Technology Armii Krajowej 21, 42-201 Częstochowa, Poland

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