Numerical Simulation of Impact

Ã‰dio Pereira Lima JÃºnior; Wendel Rodrigues Miranda; AndrÃ© Luiz TenÃ³rio Rezende; Arnaldo Ferreira

doi:10.21276/ijirem.2018.5.1.6

Abstract

The dynamic study of colliding objects is an important branch of study in engineering due to recurrence of impacts in real situations such as car crashes, gunshot or bird impacts, for example. The pressure profiles are determined by shock wave propagation phenomena, where the stress tensor determination is necessary for the development of new materials and structures, regarding aspects such as safety. Numerical simulation can be applied to approximate the solution of shock wave problems where materials are submitted to high strain rates. In this paper a methodology to simulate problems involving shock wave propagation is present. To avoid numerical complications associated with highly distorted grid due the large deformation, the numerical meshless method smoothed particle hydrodynamic (SPH) was employed to approximate the derivative governing equations. As the methodology is general this work aims academic objectives, and to be applicable the only changes are in the initial conditions of particles. To evaluate the numerical code a particular case with analytical solution was tested, a one-dimensional plate impact ignoring the deviatory stress showed a percentage error less than 0.1665 % in pressure profiles. Another two-dimensional impact example was presented in this work with the deviatory tensor considered.

Keywords

impact, shock wave propagation, SPH

References

[1] Baêta-Neves, A. P., Ferreira, A. 2015. Shaped charge simulation using SPH in cylindrical coordinates, Engineering Computations. 32, 370-386. DOI= https://doi.org/10.1108/EC-09-2013-0221.

[2] Chou, P. C., Hopkins, A. K. 1972. Dynamic response of materials to intense impulsive loading. Air Force Materials Laboratory, Wright-Patterson AFB, OH.

[3] Kolsky, H. 1963. Stress Waves in Solids. Dover Publications, Mineola, NY.

[4] Lee, W. H. 2006. Computer simulation of shaped charge problems. World Scientific Publishing, Hackensack, NJ.

[5] Libersky, L. F., Petschek, A. G., Carney, T. C., Hipp, J. R., Allahdade, F. A. 1993. High strain lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response”, Journal of Comp Physics. 109, 67-75. DOI= 10.1006/jcph.1993.1199.

[6] Lima, E. P. J., Ferreira, A. 2015. Simulação da onda de pressão gerada pela detonação de explosivos utilizando o método SPH. Revista Militar de Ciência e Tecnologia, 32. 3-12.

[7] Liu, G. R., Liu, M. B. 2003. Smoothed particle hydrodynamics: a meshfree particle method. World Scientific Publishing, Hackensack, NJ.

[8] Liu, M. B., Liu, G. R. 2010. Smoothed particle hydrodynamics (SPH): an overview and recent developments. Arch Computat Methods Eng. 17, 25-76. DOI= https://doi.org/10.1007/s11831-010-9040-7

[9] Lucy, L. B. 1977. A numerical approach to testing of fission hypothesis. Astronomical Journal. 82, 1013-1024. DOI= http://dx.doi.org/10.1086/112164.

[10] Meyers, M. A. 1994. Dynamic Behavior of Materials. Ed. John Wiley & Son, San Diego, CA. DOI= 10.1002/9780470172278.

[11] Monaghan, J. J., Gingold, R. A. 1977. Smoothed Particle Hydrodynamics: Theory and Applications to NonSpherical Star. Monthly Notices of the Royal Astronomical Society. 181, 375-389. DOI= https://doi.org/10.1093/mnras/181.3.375

[12] Monaghan, J. J., Gingold, R. A. 1983. Shock Simulation by the particle method SPH. Journal of Comp Physics. 52, 374-383. DOI= https://doi.org/10.1016/0021- 9991(83)90036-0

[13] Monaghan, J. J., Lattanzio, J. C. 1985. A refined particle method for astrophysical problems. Astronomy and Astrophysics. 149, 135-143.

[14] Zeldovich, Y. B., Raizer, Y. P. 2002. Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Dover Publications, Mineola, NY.

[15] Zukas, J.A., Nicholas, T., Swift, H. F., Greszczuk. L. B., Curran. D. R. 1982. Impact Dynamics. Ed. John Wiley & Son, San Diego, CA

Cites this article as

�. P. L. J. , W. R. M. , A. L. T. Rezende, A. F. , "Numerical Simulation of Impact", International Journal of Innovative Research in Engineering & Management (IJIREM), Vol-5, Issue-1, Page No-24-29, 2018. Available from: https://doi.org/10.21276/ijirem.2018.5.1.6