Verification of Analytical Solution for a Problem of High-Velocity Transversal Impact on a Prismatic Beam

Abstract:

In the present article ray method application for a problem of high-velocity transversal impact on a prismatic beam is considered. The problem is solved for an elastic spherical projectile and elastoplastic destructible targets for velocities up to 500 m/sec. For the targets rate-dependence of the material properties and structural inhomogeneity are taken into consideration. Verification is aimed to prove principal opportunity of receiving accurate analytical solution for the problem, if contact law is known. As a reference solution results of finite element modelling are considered.

• Periodical: Applied Mechanics and Materials (Volume 467)
• Pages: 343-348
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.467.343
• Online since: December 2013
• Authors: Vladislav V. Vershinin
• Keywords: Analytical Solution, High-Velocity Impact, Prismatic Beam, Ray Method

References

[1] Y.A. Rossikhin, M.V. Shitikova: Impact of an elastic sphere on Timoshenko beam and Uflyand-Mindlin plate with consideration for extension of a middle surface (in Russian). Proceedings of Institutions of Higher Education. Civil Engineering. Vol. 6 (1996).

[2] J.D. Achenbach, D.P. Reddy: Note on wave propagation in linearly viscoelastic media. ZAMP 18, 141 – 144 (1967).

DOI: 10.1007/bf01593905

[3] T.Y. Thomas: Plastic flow and fracture in solids. N.Y.; L.: Academic Press, (1961).

[4] A.P. Filippov: Vibration of deformable systems (in Russian), 2nd edition. Moscow: Mashinostroenie, (1970).