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

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:138

Article

Beltempo, Angela¹  Zingales, Massimiliano²  Bursi, Oreste S.¹  Deseri, Luca^1,3,4,5 

[1] Univ Trento, Dept Civil Environm & Mech Engn, Trento, Italy

[2] Univ Palermo, Dept Civil Environm Aerosp & Mat Engn, Palermo, Italy

[3] Univ Pittsburgh, MEMS Swanson Sch Engn, Pittsburgh, PA USA

[4] Carnegie Mellon Univ, Dept Civil & Environm Engn, Dept Mech Engn, Pittsburgh, PA 15213 USA

[5] Methodist Hosp Res Inst, TMHRI Dept Nanomed, Houston, TX USA

关键词: Variable-order fractional calculus;    Fractional aging concrete;    Concrete relaxation;    Concrete creep;    RILEM database;    Fractional hereditary aging materials;   

DOI  :  10.1016/j.ijsolstr.2017.12.024

来源: Elsevier

【 摘 要 】

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. (C) 2018 Elsevier Ltd. All rights reserved.

【 授权许可】

Free