A fractional-order model for aging materials: An application to concrete. (1st May 2018)

• Record Type: Journal Article
• Authors: Beltempo, Angela; Zingales, Massimiliano; Bursi, Oreste S.; Deseri, Luca
• Is Part Of: International journal of solids and structures. Volume 138(2018)
• Page Start: 13
• Page End: 23
• Publication Date: 2018-05-01
• Subjects: Variable-order fractional calculus -- Fractional aging concrete -- Concrete relaxation -- Concrete creep -- RILEM database -- Fractional hereditary aging materials; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2017.12.024
• Languages: English
• ISSNs: 0020-7683

Abstract

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.