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Experimental Study of Concrete Aging Effect on the Contact Force and Contact Time During the Impact Interaction of an Elastic Rod with a Viscoelastic Beam

Published online by Cambridge University Press:  19 September 2016

I. I. Popov ,
T.-P. Chang ,
Yu. A. Rossikhin  and
M. V. Shitikova
I. I. Popov*
Affiliation:
Department of Civil and Construction Engineering National Taiwan University of Science and Technology Taipei, Taiwan Research Center on Dynamics of Solids and Structures Voronezh State University of Architecture and Civil Engineering Voronezh, Russian Federation
T.-P. Chang
Affiliation:
Department of Civil and Construction Engineering National Taiwan University of Science and Technology Taipei, Taiwan
Yu. A. Rossikhin
Affiliation:
Research Center on Dynamics of Solids and Structures Voronezh State University of Architecture and Civil Engineering Voronezh, Russian Federation
M. V. Shitikova
Affiliation:
Research Center on Dynamics of Solids and Structures Voronezh State University of Architecture and Civil Engineering Voronezh, Russian Federation
*
*Corresponding author (89042149140@mail.ru)
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Abstract

In the present paper, the low-velocity impact of an elastic rod with a flat end upon a viscoelastic Timoshenko type beam has been considered. Viscoelastic properties of the beam out of the contact zone are described by the standard linear solid model with integer derivatives, while inside this zone they are governed by the fractional derivative standard linear solid model. The contact force for a concrete target has been defined experimentally at the concrete age of 7, 14, 28, 56, and 91 days. It has been found that an average maximum of the contact force increases with concrete age, whereas the contact duration decreases. Moreover, the most remarkable changes of both, contact force and contact time, occur at the concrete age earlier than 14 days, after that the rate of changes slows down. Experimental results have a good coincidence with theoretical expectations.

Keywords

Contact forceContact timeImpact interactionViscoelastic model
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 3 , June 2017 , pp. 317 - 322
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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References

1. Abrate, S., “Modeling of impacts on composite structures,” Composite Structures, 51, pp. 129–138 (2001).CrossRefGoogle Scholar
2. Rossikhin, Yu. and Shitikova, M., “Transient response of thin bodies subjected to impact: wave approach”, The Shock and Vibration Digest, 39, pp. 273–309 (2007).Google Scholar
3. Rossikhin, Yu. and Shitikova, M., “Application of fractional calculus for dynamic problems of solid mechanics: Novel trends and recent results”, Applied Mechanics Reviews, 63, pp. 1–52 (2010).Google Scholar
4. Popov, I.I., Rossikhin, Yu. A., Shitikova, M.V. and Chang, T.P., “Impact response of a viscoelastic beam considering the changes of its microstructure in the contact domain”, Mechanics of Time-Dependent Materials, 19, pp. 455–481 (2015).Google Scholar
5. Martin, M. and Doyle, J., “Impact force identification from wave propagation responses,” International Journal of Impact Engineering, 18, pp. 65–77 (1996).Google Scholar
6. Doyle, J., “Experimentally deteriming the contact force during the transverse impact of an orthotropic plate,” Journal of Sound and Vibration, 118, pp. 441–448 (1987).Google Scholar
7. Meshkov, S., Viscoelastic Properties of Metals, Metallurgia, Moscow, p. 193 (in Russian) (1974).Google Scholar
8. Zhou, X.Q., Yu, D.Y., Shao, X.Y., Zhang, S.Q. and Wang, S., “Research and applications of viscoelastic vibration damping materials: A Review,” Composite Structures, 136, pp. 460–480 (2016).Google Scholar
9. Oeser, M., “Visco-elastic modeling of virgin and asphalt binders,” Proceedings of The 13th International Conference of the International Association for Computer Methods and Advances in Geomechanics (IACMAG), Melbourne, Australia (2011).Google Scholar
10. Oeser, M. and Pellinien, T., “Computational framework for common visco-elastic models in engineering based on the theory of rheology,” Computers and Geotechnics, 42, pp. 145–156 (2012).Google Scholar
11. Rossikhin, Yu.A., Shitikova, M.V. and Popov, I.I., “Dynamic response of a hereditarily elastic beam with Rabotnov's kernel impacted by an elastic rod”, Recent Advances in Mathematical Methods in Applied Sciences, Proceedings of the 2014 International Conference MMAS, St. Petersburg, Russia (2014).Google Scholar
12. Rabotnov, Yu. N, “Equilibrium of the elastic medium with aftereffect,” (In Russian), Applied Mathematics and Mechanics, 12, pp. 53–62 (In Russian) (1948) (English translation of this paper could be found in Fractional Calculus and Applied Analysis, 17, pp. 684-696 (2014).Google Scholar
13. Rossikhin, Yu.A. and Shitikova, M.V., “The ray method for solving boundary problems of wave dynamics for bodies having curvilinear anisotropy,” Acta Mechanica, 109, pp. 49–64 (1995).Google Scholar
14. Pristov, E., Dalton, W., Piscsalko, G. and Likins, G., “Comparison of Impact-Echo and Broadband Input to Determine Concrete Thickness,” Proceedings of a Joint Conference of the 7th Structural Materials Technology: NDE/NDT for Highway and Bridges and The 6th International Symposium on NDT in Civil Engineering, St. Louis, Missouri, U.S. (2006).Google Scholar