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An Effective Modal Approach to the Dynamic Evaluation of Fracture Toughness of Quasi-Brittle Materials

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Mechanics of Composite Materials Aims and scope

A modal dynamic analysis is used as the tool to evaluate the fracture toughness of concrete from the results of notched-through beam tests. The dimensionless functions describing the relation between the frequencies and specimen geometry used for identifying the variation in the natural frequency as a function of crack depth is first determined for a 150 × 150 × 500-mm notched-through specimen. The frequency decrease resulting from the propagating crack is modeled through a modal/fracture mechanics approach, leading to determination of an effective crack length. This length, obtained numerically, is used to evaluate the fracture toughness of concrete, the critical crack mouth opening displacements, and the brittleness index proposed. The methodology is applied to tests performed on high-strength concrete specimens. The frequency response for each specimen is evaluated before and after each crack propagation step. The methodology is then validated by comparison with results from the application of other methodologies described in the literature and suggested by RILEM.

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Acknowledgements

The authors would like to thank the FAPESP – Fundação de Amparo à Pesquisa do Estado de São Paulo and CNPQ – Conselho Nacional de Pesquisa e Desenvolvimento Tecnológico, Brazilian Funding Agencies, for the continuous support provided.

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Authors and Affiliations

  1. Department of Engineering, Federal University of Lavras, Lavras, MG, Brazil

    L. E. T. Ferreira

  2. School of Engineering of São Carlos, University of São Paulo, São Paulo, Brazil

    L. V. Vareda, J. B. Hanai & A. I. Silva

  3. Faculty of Civil Engineering, Architecture and Urban Planning, State University of Campinas, Campinas, Brazil

    J. L. A. O. Sousa

Authors
  1. L. E. T. Ferreira
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  2. L. V. Vareda
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  3. J. B. Hanai
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  4. J. L. A. O. Sousa
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  5. A. I. Silva
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Corresponding author

Correspondence to L. E. T. Ferreira.

Additional information

Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 53, No. 2, pp. 303-324 , March-April, 2017.

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Ferreira, L.E.T., Vareda, L.V., Hanai, J.B. et al. An Effective Modal Approach to the Dynamic Evaluation of Fracture Toughness of Quasi-Brittle Materials. Mech Compos Mater 53, 211–228 (2017). https://doi.org/10.1007/s11029-017-9655-y

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  • DOI: https://doi.org/10.1007/s11029-017-9655-y

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