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.

Beltempo, A., Zingales, M., Bursi, O.S., Deseri, L. (2018). A fractional-order model for aging materials: An application to concrete. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 138, 13-23 [10.1016/j.ijsolstr.2017.12.024].

A fractional-order model for aging materials: An application to concrete

Zingales, Massimiliano
;
2018-05-01

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.
mag-2018
Settore ICAR/08 - Scienza Delle Costruzioni
Beltempo, A., Zingales, M., Bursi, O.S., Deseri, L. (2018). A fractional-order model for aging materials: An application to concrete. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 138, 13-23 [10.1016/j.ijsolstr.2017.12.024].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/338363
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