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Non-local Kirchhoff-Love plates in terms of fractional calculus
Modern continuum mechanics needs new mathematical techniques to describe the complexity of real physical processes. Recently fractional calculus, a branch of mathematical analysis that studies differential operators of an arbitrary (real or complex) order, emerged as a powerful tool for modelling complex systems. It is due to the fact that fractional differential operators introduce non-locality to the description considered in a natural way. In this sense they generalize classical (local) formulations and make the description more realistic.
This paper deals with the generalisation of the Kirchhoff-Love plates theory using fractional calculus. This new formulation in non-local, thus all common fields like e.g. internal forces or displacements at a specific point contain somehow information from its finite surroundings, which is in agreement with experimental observations.
Non-local Kirchhoff-Love plates in terms of fractional calculus
Modern continuum mechanics needs new mathematical techniques to describe the complexity of real physical processes. Recently fractional calculus, a branch of mathematical analysis that studies differential operators of an arbitrary (real or complex) order, emerged as a powerful tool for modelling complex systems. It is due to the fact that fractional differential operators introduce non-locality to the description considered in a natural way. In this sense they generalize classical (local) formulations and make the description more realistic.
This paper deals with the generalisation of the Kirchhoff-Love plates theory using fractional calculus. This new formulation in non-local, thus all common fields like e.g. internal forces or displacements at a specific point contain somehow information from its finite surroundings, which is in agreement with experimental observations.
Non-local Kirchhoff-Love plates in terms of fractional calculus
Archiv.Civ.Mech.Eng
Sumelka, W. (Autor:in)
Archives of Civil and Mechanical Engineering ; 15 ; 231-242
01.03.2015
12 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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