Abstract
This paper studies the interaction of elastic wave with shock wave in a multi-material system. Individual interactions of wave with material interface and wave with another wave have been analyzed considering material in the state of uniaxial strain. The nonlinear material behavior for uniaxial strain case has been simplified by considering piecewise linear stress strain relationship in order to avoid rarefaction fan and to make it more feasible to track each wave and their interactions. The model is heterogeneous to both shock and elastic wave. The governing equations reduced in the form of jump equations along with maximal dissipation condition are used to find the solution after each interaction, giving the exact solution of the impact-induced shock wave problem. The study shows that elastic waves generally neglected during shock propagation, results in some changes through its interaction with material interface and shock wave.
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References
Field JE, Walley SM, Proud WG, Goldrein HT, Siviour CR (2004) Review of experimental techniques for high rate deformation and shock studies. Int J Impact Eng 30:725–775. https://doi.org/10.1016/j.ijimpeng.2004.03.005
Sve C (1972) Stress wave attenuation in composite materials. ASME J Appl Mech 39(4):1151–1153. https://doi.org/10.1115/1.3422852
Chen CC, Clifton RJ (1975) Asymptotic solutions for wave propagation in elastic and viscoelastic bilaminates
Chen X, Chandra N, Rajendran AM (2004) Analytical solution to the plate impact problem of layered heterogeneous material systems. Int J Solids Struct 41(16–17):4635–4659. https://doi.org/10.1016/j.ijsolstr.2004.02.064
Chen X, Chandra N (2004) The effect of heterogeneity on plane wave propagation through layered composites. Compos Sci Technol 64(10–11):1477–1493. https://doi.org/10.1016/j.compscitech.2003.10.024
Hui D, Dutta PK (2011) A new concept of shock mitigation by impedance-graded materials. Compos B Eng 42(8):2181–2184. https://doi.org/10.1016/j.compositesb.2011.05.016
Fernando PLN, Mohotti D, Remennikov A, Hazell PJ, Wang H, Amin A (2020) Experimental, numerical and analytical study on the shock wave propagation through impedance-graded multi-metallic systems. Int J Mech Sci 178:105621. https://doi.org/10.1016/j.ijmecsci.2020.105621
Davison L (2008) Fundamentals of shock wave propagation in solids. Springer
Cooper PW (2018) Explosives engineering. Wiley, Hoboken
Agrawal V, Bhattacharya K (2014) Shock wave propagation through a model one dimensional heterogeneous medium. Int J Solids Struct 51(21–22):3604–3618. https://doi.org/10.1016/j.ijsolstr.2014.06.021
Meyers MA (1994) Dynamic behavior of materials. Wiley, Hoboken
Knowles JK (2010) On maximally dissipative shock waves in nonlinear elasticity. J Elast 98(1):13–23. https://doi.org/10.1007/s10659-009-9221-5
Acknowledgments
This work was supported by a start-up research grant (SRG/2020/000480) of the Science and Engineering Research Board of India. The content is solely the responsibility of the authors and does not necessarily represent the official views of the funding organization.
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Singh, S.P., Singh, H., Mahajan, P. (2022). Multi-material System Response to an Impact-Induced Shock. In: Krishnapillai, S., R., V., Ha, S.K. (eds) Composite Materials for Extreme Loading . Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-16-4138-1_27
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DOI: https://doi.org/10.1007/978-981-16-4138-1_27
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