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Impact Response of a Fractionally Damped Spherical Shell

Published online by Cambridge University Press:  21 October 2014

T.-K. Chang ,
Y. A. Rossikhin ,
M. V. Shitikova  and
C.-K. Chao
T.-K. Chang
Affiliation:
Department of Mechanical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan
Y. A. Rossikhin
Affiliation:
Voronezh State University of Architecture and Civil Engineering, Voronezh, Russia
M. V. Shitikova
Affiliation:
Voronezh State University of Architecture and Civil Engineering, Voronezh, Russia
C.-K. Chao*
Affiliation:
Department of Mechanical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan
*
* Corresponding author ([email protected])
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Abstract

In the present paper, the problem on normal low-velocity impact of a solid upon an isotropic spherical shell is studied without considering the changes in the geometrical dimensions of the contact domain. At the moment of impact, shock waves (surfaces of strong discontinuity) are generated in the target, which then propagate along the shell during the process of impact. Behind the wave fronts up to the boundary of the contact domain, the solution is constructed with the help of the theory of discontinuities and one-term ray expansions. The ray method is used outside the contact spot, but the Laplace transform method is applied within the contact region. As a result, the exact solution of the contact force is determined as a function of time. This model is intended to be used in simulating crash scenarios in frontal impacts, and to provide an effective tool to estimate the severity of effect on the human head and to estimate brain injury risks.

Keywords

Shock waveSpherical shellContact force
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 1 , February 2015 , pp. 47 - 53
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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References

1.Hammel, J., “Aircraft Impact on a Spherical Shell,” Nuclear Engineering and Design, 37, pp. 205–223 (1976).Google Scholar
2.Senitskii, Y. E. “Impact of a viscoelastic solid along a shallow spherical shell,” Mechanics of Solids, 17, pp. 120–124 (1982).Google Scholar
3.Zhu, X. H., Dong, X., Liu, L. and Xiu, W. C., “Study on Viscoelasticity of Human Cranial Bone,” Chinese Journal of Biomedical Engineering, 12, pp. 35–42, (1993).Google Scholar
4.Koller, M. G. and Busenhart, M., “Elastic Impact of Spheres on Thin Shallow Spherical Shells,” International Journal of Impact Engineering, 4, pp. 11–21 (1986).Google Scholar
5.Her, S. C. and Liao, C. C., “Analysis of Elastic Impact on Thin Shell Structures,” International Journal of Modern Physics B, 22, pp. 1349–1354 (2008).Google Scholar
6.Rossikhin, Y. A., Shitikova, M. V. and Shamarin, V., “Dynamic Response of Spherical Shells Impacted by Falling Objects,” International Journal of Mechanics, 5, pp.166-181 (2011).Google Scholar
7.Chang, T. K., Rossikhin, Y. A., Shitikova, M. V. and Chao, C. K., “Application of Fractional-Derivative Standard Linear Solid Model to Impact Response of Human Frontal Bone,” Theoretical and Applied Fracture Mechanics, 56, pp. 148–153 (2011).Google Scholar