EXPERIMENTAL IDENTIFICATION OF THE MEASURE OF INTERNAL FRICTION IN PLATES WITH A TWO-DIMENSIONAL AUXETIC STRUCTURE

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Marina Shitikova
Ivan Soloviev
Artem Levchenko
https://orcid.org/0000-0002-6875-754X

Abstract

The analysis of relaxation processes occurring in metals, alloys and composites is an important problem of modern materials science. This paper presents the results of experiments to determine the measure of internal friction by impulse excitation technique (IET) in samples with different two-dimensional auxetic structures, namely, tetrachiral and re-entrant. IET is an advanced method for measuring material characteristics such as dynamic elastic and shear moduli, dynamic Poisson's ratio and internal friction to study deformation, softening, relaxation mechanisms and phase transformations in various materials. In the present research, five series of specimens of each structure have been made from photopolymer resin by sterlitography technology, which differ from each other in relative density. According to the test results, the dependence of internal friction on the sample density was determined. From the analysis of the obtained data, it was found that the re-entrant structure has a higher measure of internal friction, which indicates more pronounced viscoelastic properties, which in turn means a greater ability of the re-entrant structure to dampen the energy generated by the dynamic excitation. The values of the internal friction measure for the re-entrant structure at the peak point exceed the similar values for the tetrachiral structure by a factor of 6.44, in so doing with the increase in the relative density of the structure, the measure of the internal friction decreases irrespective of the type of the considered structures.

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How to Cite
Shitikova, M., Soloviev, I., & Levchenko, A. (2025). EXPERIMENTAL IDENTIFICATION OF THE MEASURE OF INTERNAL FRICTION IN PLATES WITH A TWO-DIMENSIONAL AUXETIC STRUCTURE. International Journal for Computational Civil and Structural Engineering, 21(1), 177-187. https://doi.org/10.22337/2587-9618-2025-21-1-189-199
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References

Rossikhin Yu.A., Shitikova M.V. Applica-tions of fractional calculus to dynamic prob-lems of linear and nonlinear hereditary me-chanics of solids // Applied Mechanics Re-views, 1997, vol. 50, no. 1, pp. 15–67.

Rossikhin Yu.A., Shitikova M.V. Application of fractional calculus for dynamic problems of solid mechanics: Novel trends and recent results // Applied Mechanics Reviews, 2010, vol. 63, no. 1, pp. 1–52.

Shitikova M.V. Fractional operator viscoelas-tic models in dynamic problems of mechanics of solids: A review // Mechanics of Solids, 2022, vol. 57, pp. 1–33.

Shitikova M.V., Krusser A.I. Models of vis-coelastic materials: A review on historical de-velopment and formulation // Advanced Struc-tured Materials, 2022, vol. 175, pp. 285–326.

Barpi F., Valente S. Creep and fracture in concrete: a fractional order rate approach // Engineering Fracture Mechanics, 2002, vol. 70, no. 5, pp. 611–623.

Huang W., Zhan H., Xu L., Xu Z., Zeng J. Investigation on microstructure and internal friction for low density TiB2/ZL114 compo-sites // Acta Metallurgica Sinica, 2009, vol. 22, pp. 211–218.

GB/T 13665-2007 2007 Test Method for Damping Capacity of Metallic Damping Mate-rials – Torsion Pendulum Method and Bending Vibration Method (Standardization Admin-istration of China)

Zhang С., Zhu Z., Zhu S., He Z., Zhu D., Liu J., Meng S. Nonlinear creep damage con-stitutive model of concrete based on fractional calculus theory // Materials, 2019, vol. 12, no. 9, Article ID 1505.

Yao L., Ren L., Gong G. Time-fractional model of chloride diffusion in concrete: analy-sis using meshless method // Advanced Mate-rials and Science Engineering, 2020, vol. 2020, pp. 1–9.

Shitikova M.V., Popov I.I., Rossikhin Yu.A. Theoretical and experimental evidence of the bulk relaxation peak on the loss tangent versus frequency diagrams for concrete // Mechanics of Advanced Materials and Structures, 2022, vol. 30, no. 2, pp. 332–341.

Oeser M., Pellinen T., Scarpas T., Kasbergen C. Studies on creep and recovery of rheological bodies based upon conventional and fractional formulations and their applica-tion on asphalt mixture // International Journal of Pavement Engineering, 2008, vol. 9, no. 5, pp. 373–386.

Yin Y., Yang Z., Shi M. Circular arc rules of complex plane plot for model parameters de-termination of viscoelastic material // Mechan-ics of Time-Dependent Materials, 2021, vol. 25, no. 4, pp. 631–643.

Olard F., Di Benedetto H. General “2S2P1D” model and relation between the linear viscoe-lastic behaviours of bituminous binders and mixes // Road Materials and Pavement Design, 2003, vol. 4, pp. 185–224.

Yin Y., Yang Z., Shi M. Dynamic mechanical response for bituminous mixtures in wide fre-quency range // IOP Conference. Series Mate-rials and Science Engineering, 2019, vol. 592, ArticleID 012059.

Yin Y., Yang Z., Shi M. Analytical expression of complex modulus for viscoelastic material // International Journal of Applied Mechanics, 2020, vol. 12, no. 5, ArticleID 20500

Katicha S.W., Apeagyei A.K., Flintsch G.W., Loulizi A. Universal linear viscoelastic approximation property of fractional viscoelas-tic models with application to asphalt concrete // Mechanics of Time-Dependent Materials, 2014, vol. 18, no. 3, pp. 555–571.

Quan W., Zhao K., Ma X., Dong Z. Frac-tional viscoelastic models for asphalt concrete: from parameter identification to pavement me-chanics analysis // Journal of Engineering Me-chanics, 2022, vol. 148, ArticleID 04022036.

Popov I.I., Levchenko A.V. Experimental investigation of internal friction in rubber con-crete and fiber-reinforced rubber concrete // Russian Journal of Building Construction and Architecture, 2021, vol. 52, pp. 53–62.

Wang X., Petru M., Xia L. Modeling the dy-namics behavior of flax fiber reinforced com-posite after water aging using a modified Huet-Sayegh viscoelastic model with fraction-al derivatives // Construction and Building Materials, 2021, vol. 290, pp. 122879–122876.

Guo X., Yan G., Benyahia L., Sahraouri F. Fitting stress relaxation experiments with frac-tional Zener model to predict high frequency moduli of polymeric acoustic foams // Me-chanics of Time-Dependent Materials, 2016, vol. 20, no. 4, pp. 523–533.

Pawlak Z.M., Denisiewicz A. Identification of the fractional Zener model parameters for a viscoelastic material over a wide range of fre-quencies and temperatures // Materials, 2021, vol. 14, no. 22, ArticleID 7024.

Popov I.I., Rossikhin Yu.A., Shitikova M.V., Chang T.-P. Impact response of a viscoelastic beam considering the changes of its micro-structure in the contact domain // Mechanics of Time-Dependent Materials, 2015, vol. 19, no. 4, pp. 455–481.

Rossikhin Yu.A., Shitikova M.V. Fractional calculus models in dynamic problems of vis-coelasticity. In: D. Baleanu, A.M. Lopes, (Eds.) // Handbook of Fractional Calculus with Applications. Vol. 7: Applications in Engi-neering, Life and Social Sciences, Part A, De Gruyter, Berlin, Boston, 2019. pp. 139–158.

Yang X., Cai W., Liang Y., Holm S. A novel representation of time-varying viscosity with power-law and comparative study // Interna-tional Journal of Non-Linear Mechanics, 2020, vol. 119, ArticleID 103372.

Prem M. S., Klanner M., Ellermann K. Identification of fractional damping parame-ters in structural dynamics using polynomial chaos expansion // Applied Mechanics, 2021, vol. 2, no. 4, pp. 956–975.

Ren Z., Atalla N., Ghinet S. Optimization based identification of the dynamic properties of linearly viscoelastic materials using vibrating beam techniques // Journal of Vibration and Acoustics, 2011, vol. 133, no. 4, ArticleID 041012.

Roebben G., Bollen B., Brebels A., Van Humbeeck J., Van der Biest O. Impulse ex-citation apparatus to measure resonant fre-quencies, elastic moduli, and internal friction at room and high temperature // Review of Scientific Instruments, 1997, vol. 68, no. 12, pp. 4511–4515.

Popov I.I., Shitikova M.V. Impulse excitation technique and its application for identification of material damping: an overview // IOP Con-ference Series Material Science and Engineer-ing, 2020, vol. 962, ArticleID 022025.

Rossikhin Yu.A., Shitikova M.V. Application of fractional calculus for analysis of non-linear damped vibrations of suspension bridges // Journal of Engineering Mechanics, 1998, vol. 124, pp. 1029–1034.

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