Determination of Complex Modulus from a Back-Analysis Process of Frequency Response Functions for Asphalt Mixtures Using FEM Modeling

Thamires Ximenes Cavalcante; Ana Karoliny Lemos Bezerra; Mauro José da Silva Filho; Lucas Feitosa de Albuquerque Lima Babadopulos; Jean Claude Carret

doi:10.1007/978-3-032-14652-6_48

Determination of Complex Modulus from a Back-Analysis Process of Frequency Response Functions for Asphalt Mixtures Using FEM Modeling

Thamires Ximenes Cavalcante
, Ana Karoliny Lemos Bezerra
, Mauro José da Silva Filho
, Lucas Feitosa de Albuquerque Lima Babadopulos
, Jean Claude Carret

École de technologie supérieure
LTDS UMR 5513 CNRS
Universidade Federal do Ceará

Research output: Contribution to Book/Report types › Book Chapter › peer-review

Abstract

This paper presents a method to determine the complex modulus of asphalt mixtures (AM) from Frequency Response Functions (FRFs) using a back-analysis approach. The main objective was to optimize the process for obtaining the linear viscoelastic (LVE) properties of AM based on non-destructive impact resonance test (IRT) data. The methodology combines an optimization code developed in MATLAB with numerical simulations in COMSOL, using the Finite Element Method (FEM) in 2D and the 2S2P1D rheological model to simulate the LVE behavior. The combined use of MATLAB and COMSOL allowed for efficient integration between numerical simulation and the optimization process, resulting in a more robust and automated methodology for analyzing viscoelastic materials. The results obtained from the IRT were compared with those from the Tension-Compression test (TCT). A good agreement was observed between the results of both tests, demonstrating the effectiveness of the proposed method. The expected impact of this research is to contribute to the advancement of computational tools for material characterization in engineering, with potential applications in road infrastructure projects and other related fields.

Original language	English
Title of host publication	RILEM Bookseries
Publisher	Springer Science and Business Media B.V.
Pages	677-690
Number of pages	14
DOIs	https://doi.org/10.1007/978-3-032-14652-6_48
Publication status	Published - 2026

Publication series

Name	RILEM Bookseries
Volume	67
ISSN (Print)	2211-0844
ISSN (Electronic)	2211-0852

!!!Keywords

Asphalt mixture
Back-analysis
Frequency Response Function (FRF)
Impact resonance tests (IRT)
Optimization

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10.1007/978-3-032-14652-6_48

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Cavalcante, T. X., Bezerra, A. K. L., da Silva Filho, M. J., de Albuquerque Lima Babadopulos, L. F., & Carret, J. C. (2026). Determination of Complex Modulus from a Back-Analysis Process of Frequency Response Functions for Asphalt Mixtures Using FEM Modeling. In RILEM Bookseries (pp. 677-690). (RILEM Bookseries; Vol. 67). Springer Science and Business Media B.V.. https://doi.org/10.1007/978-3-032-14652-6_48

@inbook{95da2050056d4737910be0c8f36778f4,

title = "Determination of Complex Modulus from a Back-Analysis Process of Frequency Response Functions for Asphalt Mixtures Using FEM Modeling",

abstract = "This paper presents a method to determine the complex modulus of asphalt mixtures (AM) from Frequency Response Functions (FRFs) using a back-analysis approach. The main objective was to optimize the process for obtaining the linear viscoelastic (LVE) properties of AM based on non-destructive impact resonance test (IRT) data. The methodology combines an optimization code developed in MATLAB with numerical simulations in COMSOL, using the Finite Element Method (FEM) in 2D and the 2S2P1D rheological model to simulate the LVE behavior. The combined use of MATLAB and COMSOL allowed for efficient integration between numerical simulation and the optimization process, resulting in a more robust and automated methodology for analyzing viscoelastic materials. The results obtained from the IRT were compared with those from the Tension-Compression test (TCT). A good agreement was observed between the results of both tests, demonstrating the effectiveness of the proposed method. The expected impact of this research is to contribute to the advancement of computational tools for material characterization in engineering, with potential applications in road infrastructure projects and other related fields.",

keywords = "Asphalt mixture, Back-analysis, Frequency Response Function (FRF), Impact resonance tests (IRT), Optimization",

author = "Cavalcante, \{Thamires Ximenes\} and Bezerra, \{Ana Karoliny Lemos\} and \{da Silva Filho\}, \{Mauro Jos{\'e}\} and \{de Albuquerque Lima Babadopulos\}, \{Lucas Feitosa\} and Carret, \{Jean Claude\}",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2026.",

year = "2026",

doi = "10.1007/978-3-032-14652-6\_48",

language = "English",

series = "RILEM Bookseries",

publisher = "Springer Science and Business Media B.V.",

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booktitle = "RILEM Bookseries",

}

Cavalcante, TX, Bezerra, AKL, da Silva Filho, MJ, de Albuquerque Lima Babadopulos, LF & Carret, JC 2026, Determination of Complex Modulus from a Back-Analysis Process of Frequency Response Functions for Asphalt Mixtures Using FEM Modeling. in RILEM Bookseries. RILEM Bookseries, vol. 67, Springer Science and Business Media B.V., pp. 677-690. https://doi.org/10.1007/978-3-032-14652-6_48

Determination of Complex Modulus from a Back-Analysis Process of Frequency Response Functions for Asphalt Mixtures Using FEM Modeling. / Cavalcante, Thamires Ximenes; Bezerra, Ana Karoliny Lemos; da Silva Filho, Mauro José et al.
RILEM Bookseries. Springer Science and Business Media B.V., 2026. p. 677-690 (RILEM Bookseries; Vol. 67).

Research output: Contribution to Book/Report types › Book Chapter › peer-review

TY - CHAP

T1 - Determination of Complex Modulus from a Back-Analysis Process of Frequency Response Functions for Asphalt Mixtures Using FEM Modeling

AU - Cavalcante, Thamires Ximenes

AU - Bezerra, Ana Karoliny Lemos

AU - da Silva Filho, Mauro José

AU - de Albuquerque Lima Babadopulos, Lucas Feitosa

AU - Carret, Jean Claude

PY - 2026

Y1 - 2026

N2 - This paper presents a method to determine the complex modulus of asphalt mixtures (AM) from Frequency Response Functions (FRFs) using a back-analysis approach. The main objective was to optimize the process for obtaining the linear viscoelastic (LVE) properties of AM based on non-destructive impact resonance test (IRT) data. The methodology combines an optimization code developed in MATLAB with numerical simulations in COMSOL, using the Finite Element Method (FEM) in 2D and the 2S2P1D rheological model to simulate the LVE behavior. The combined use of MATLAB and COMSOL allowed for efficient integration between numerical simulation and the optimization process, resulting in a more robust and automated methodology for analyzing viscoelastic materials. The results obtained from the IRT were compared with those from the Tension-Compression test (TCT). A good agreement was observed between the results of both tests, demonstrating the effectiveness of the proposed method. The expected impact of this research is to contribute to the advancement of computational tools for material characterization in engineering, with potential applications in road infrastructure projects and other related fields.

AB - This paper presents a method to determine the complex modulus of asphalt mixtures (AM) from Frequency Response Functions (FRFs) using a back-analysis approach. The main objective was to optimize the process for obtaining the linear viscoelastic (LVE) properties of AM based on non-destructive impact resonance test (IRT) data. The methodology combines an optimization code developed in MATLAB with numerical simulations in COMSOL, using the Finite Element Method (FEM) in 2D and the 2S2P1D rheological model to simulate the LVE behavior. The combined use of MATLAB and COMSOL allowed for efficient integration between numerical simulation and the optimization process, resulting in a more robust and automated methodology for analyzing viscoelastic materials. The results obtained from the IRT were compared with those from the Tension-Compression test (TCT). A good agreement was observed between the results of both tests, demonstrating the effectiveness of the proposed method. The expected impact of this research is to contribute to the advancement of computational tools for material characterization in engineering, with potential applications in road infrastructure projects and other related fields.

KW - Asphalt mixture

KW - Back-analysis

KW - Frequency Response Function (FRF)

KW - Impact resonance tests (IRT)

KW - Optimization

UR - https://www.scopus.com/pages/publications/105036156937

U2 - 10.1007/978-3-032-14652-6_48

DO - 10.1007/978-3-032-14652-6_48

M3 - Book Chapter

AN - SCOPUS:105036156937

T3 - RILEM Bookseries

SP - 677

EP - 690

BT - RILEM Bookseries

PB - Springer Science and Business Media B.V.

ER -

Determination of Complex Modulus from a Back-Analysis Process of Frequency Response Functions for Asphalt Mixtures Using FEM Modeling

Abstract

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!!!Keywords

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