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RESEARCH PRODUCT

Finite element method on fractional visco-elastic frames

G. Fileccia ScimemiMario Di Paola

subject

Finite element methodMechanical EngineeringConstitutive equationMathematical analysis02 engineering and technologyFunction (mathematics)Type (model theory)021001 nanoscience & nanotechnologyFractional calculuPower lawViscoelasticityFinite element methodComputer Science ApplicationsFractional calculus020303 mechanical engineering & transports0203 mechanical engineeringModeling and SimulationFractional viscoelasticityGeneral Materials Science0210 nano-technologySettore ICAR/08 - Scienza Delle CostruzioniQuasistatic processCaputo's fractional derivativeCivil and Structural EngineeringMathematics

description

Viscoelastic behavior is defined by fractional operators.Quasi static FEM analysis of frames with fractional constitutive law is performed.FEM solution is decoupled into a set of fractional Kelvin Voigt elements.Proposed approach could be easily integrated in existing FEM codes. In this study the Finite Element Method (FEM) on viscoelastic frames is presented. It is assumed that the Creep function of the constituent material is of power law type, as a consequence the local constitutive law is ruled by fractional operators. The Euler Bernoulli beam and the FEM for the frames are introduced. It is shown that the whole system is ruled by a set of coupled fractional differential equations. In quasi static setting the coupled fractional differential equations may be decomposed into a set of fractional viscoelastic Kelvin-Voigt units whose solution may be obtained in a very easy way.

yearjournalcountryeditionlanguage
2016-02-01
10.1016/j.compstruc.2015.10.008http://hdl.handle.net/10447/168607