Abstract
The linear dynamic response of a simply supported orthotropic sandwich beam/wide panel subjected to a concentrated blast load is studied. The point-wise load is expressed as a Fourier sinusoidal series, i.e., a summation of distributed loads over the beam span, for which closed-form elasticity solutions can be derived. For the elasticity, the Laplace transform is used on the dynamic elasticity equations, and as a result, a closed-form solution is obtained in the Laplace domain. Then the numerical inverse Laplace transform and, in particular, the Euler method, is applied to obtain the time domain solution. The simply supported solution of the dynamic Extended High order Sandwich Panel Theory (EHSAPT) is also obtained for the terms of the load Fourier series and on the basis of the superposition principle, and the results are compared with the dynamic elasticity solution. Results are presented on both the deformation and stress fields at the transient phase of blast. The dynamic EHSAPT shows very good agreement with the dynamic elasticity and provides useful insight on the sandwich core failure mechanisms.
This is a preview of subscription content, log in via an institution.
References
Carlsson, L., & Kardomateas, G. A. (2011). Structural and failure mechanics of sandwich composites. Springer.
Wang, E., Gardner, N., & Shukla, A. (2009). The blast resistance of sandwich composites with stepwise graded cores. International Journal of Solids and Structures, 46, 3492–3502.
Gardner, N., Wang, E., Kumar, P., & Shukla, A. (2012). Blast mitigation in a sandwich composite using graded core and polyurea interlayer. Experimental Mechanics, 52, 119–133. https://doi.org/10.1007/s11340-011-9517-9.
Pagano, N. J. (1970). Exact solutions for rectangular bidirectional composites and sandwich plates. Journal of Composite Materials, 4, 20–34. Jan.
Kardomateas, G. A. (2009) Three dimensional elasticity solution for sandwich plates with orthotropic phases: The positive discriminant case. Journal of Applied Mechanics (ASME), 76, 014505-1–014505-4.
Kardomateas, G. A., Frostig, Y., & Phan, C. N. (2013). Dynamic elasticity solution for the transient blast response of sandwich beams/wide plates. AIAA Journal, 51(2), 485–491. https://doi.org/10.2514/1.J051885.
Kardomateas, G. A., Rodcheuy, N., & Frostig, Y. (2015) Transient Blast Response of Sandwich Plates by Dynamic Elasticity. AIAA Journal, 53(6), 1424–1432. https://doi.org/10.2514/1.J052865. June.
Frostig, Y., Baruch, M., Vilnay, O., & Sheinman, I. (1992). High-order theory for sandwich beam behavior with transversely flexible core. Journal of Engineering Mechanics, 118, 1026.
Phan, C. N., Frostig, Y., & Kardomateas, G. A. (2012). Analysis of sandwich panels with a compliant core and with in-plane rigidity-extended high-order sandwich panel theory versus elasticity. Journal of Applied Mechanics (ASME), 79(041001), 041001-1–041001-11.
Phan, C. N., Kardomateas, G. A., & Frostig, Y. (2012). Blast response of a sandwich beam/wide plate based on the extended high-order sandwich panel theory (EHSAPT) and comparison with elasticity. Journal of Applied Mechanics (ASME), 80(061005), 061005-1–061005-11. https://doi.org/10.1115/1.4023619.
Abate, J., & Whitt, W. (1995). Numerical inversion of Laplace transforms of probability distributions. ORSA Journal on Computing, 7(1), 38–43.
Acknowledgements
The financial support of the Office of Naval Research, Grant N00014-16-1-2831, and the interest and encouragement of the Grant Monitor, Dr. Y.D.S. Rajapakse, are both gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Rodcheuy, N., Kardomateas, G.A. (2018). Concentrated Load Impulse Response of a Sandwich Beam/Wide Plate: Dynamic Elasticity and Extended High Order Sandwich Panel Theory Solutions. In: Gopalakrishnan, S., Rajapakse, Y. (eds) Blast Mitigation Strategies in Marine Composite and Sandwich Structures. Springer Transactions in Civil and Environmental Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-7170-6_5
Download citation
DOI: https://doi.org/10.1007/978-981-10-7170-6_5
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-7169-0
Online ISBN: 978-981-10-7170-6
eBook Packages: EngineeringEngineering (R0)