6533b839fe1ef96bd12a5a24
RESEARCH PRODUCT
A fractional-order model for aging materials: An application to concrete
Angela BeltempoLuca DeseriMassimiliano ZingalesOreste S. Bursisubject
Concrete creep020101 civil engineering02 engineering and technologyCondensed Matter Physic0201 civil engineeringRILEM database0203 mechanical engineeringApplied mathematicsGeneral Materials ScienceMechanics of MaterialVariable-order fractional calculuMathematicsMechanical EngineeringApplied MathematicsFractional hereditary aging materialCondensed Matter PhysicsFractional calculusFormalism (philosophy of mathematics)020303 mechanical engineering & transportsFractional aging concreteCreepMechanics of MaterialsIterated functionConcrete relaxationModeling and SimulationMaterials Science (all)Settore ICAR/08 - Scienza Delle Costruzionidescription
Abstract In this paper, the hereditariness of aging materials is modeled within the framework of fractional calculus of variable order. A relevant application is made for the long-term behavior of concrete, for which the creep function is evaluated with the aid of Model B3. The corresponding relaxation function is derived through the Volterra iterated kernels and a comparison with the numerically-obtained relaxation function of Model B3 is also reported. The proposed fractional hereditary aging model (FHAM) for concretes leads to a relaxation function that fully agrees with the well-established Model B3. Furthermore, the FHAM takes full advantage of the formalism of fractional-order calculus to yield semi-analytic expressions in terms of material parameters.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-05-01 |