The method of creep estimation of polymer composite materials based on the rheological characteristics obtained in vibration tests is considered. Difficulties of application of short-term vibration test results for the creep prediction are analyzed. The type of experimental dependencies for the complex modulus components required for the application of viscoelastic creep theory is substantiated. Convenient analytical approximations of these dependencies are proposed, which allow one to restore the creep kernel in the form of an exponential kernels. Stability of the restored creep kernel paramet0065rs to inaccuracy of experimental determination of frequency dependencies of complex modulus of carbon fiber-reinforced plastic is analyzed.
Similar content being viewed by others
References
Yu. N. Rabotnov, Creep of Structural Members, [in Russian], Nauka, Moscow (2014).
Yu. N. Rabotnov, Elements of Hereditary Solids Mechanics, Мir Publishers, Moscow (1980).
Yu. N. Rabotnov, Mechanics of a Deformable Solid Body, [in Russian], Nauka, Moscow (1987).
A. N. Polilov, Studies in the Mechanics of Composites, [in Russian], Nauka, FIZMATLIT, Moscow (2015).
J. D. Ferry, Viscoelastic Properties of Polymers, Wiley, New York (1980).
B. Gross, Mathematical Structure of the Theories of Viscoelasticity, Hermann and Cie, Paris, (1953).
R. S. Lakes, Viscoelastic Solids, CRC Press LLC, London (1999).
J. Betten, Creep Mechanics, Springer-Verlag, Berlin, Heidelberg (2008).
A. V. Khokhlov, “Long-term strength curves generated by the linear theory of viscoelasticity in combination with failure criteria taking into account the history of deformation,” Proc. MAI, No. 91 (2016); http://trudymai.ru/published.php?ID=75559
D. W. Mead, “Numerical interconversion of linear viscoelastic material functions,” J. Rheol., 38, 1769-1795 (1994).
S. W. Park and R. A. Schapery, “Methods of interconversion between linear viscoelastic material functions. Part I. A numerical method based on Prony series,” Int. J. Solids Struct., No. 36, 1653-1675 (1999).
R. A. Schapery and S. W. Park, “Methods of interconversion between linear viscoelastic material functions. Part II. An approximate analytical method,” Int. J. Solids Struct., No. 36, 1677-1699 (1999).
V. Dacol, E. Caetano, and J. R. Correia, “A new viscoelasticity dynamic fitting method applied for polymeric and polymer-based composite materials,” Materials, 2020, 13, 5213 (2020).
L. Rouleau, R. Prik, P. Bert, and D. Wim, “Characterization and modeling of the viscoelastic behavior of a self-adhesive rubber using dynamic mechanical analysis tests // J. Aerospace Technol. Management., 7, No. 2, 200-208 (2015).
D. D. Vlasov and G. V. Malysheva, “Determination of creep and relaxation characteristics of polymer fibrous composites using material dynamic characteristics,” Proc. Int. Sci. Conf. Students, Aspirants, and Young Scientists “PERSPEKTIVA, 4, 60-63 (2021).
Yu. V. Suvorova, S. I. Alekseeva, and D. Ya. Kupriyanov, “Simulation of long-term creep of FO RTRAC geogrids based on polyethylene tetrephthalate,” Polymer Science, Ser. B, 47, No. 6, 1058-1061 (2005).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Mekhanika Kompozitnykh Materialov, Vol. 58, No. 1, pp. 43-58, January-February, 2021. Russian DOI: 10.22364/mkm.58.1.03.
Rights and permissions
About this article
Cite this article
Vlasov, D.D., Polilov, A.N. The Possibility of Creep Prediction of Viscoelastic Polymer Composites Using Frequency Dependences of Complex Modulus Components. Mech Compos Mater 58, 31–42 (2022). https://doi.org/10.1007/s11029-022-10009-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11029-022-10009-2