An Engineering Model for the Penetration of a Rigid-Rod into a Cowper -- Symonds Low-Strength Material


The impact of a rigid-rod into a low-strength target is an ubiquitous research problem in many scientific and engineering fields. Typically, this impact has been modeled by the expansion of a pressurized spherical cavity in an unbounded elasto-plastic medium. In this paper, an engineering penetration model was developed using the dynamic spherical cavity expansion theory for an elasto-plastic, compressible, strain-dependent and strain-rate-sensitive material. The material plastic flow behavior was modeled using the Cowper—Symonds strength model. The engineering model was numerically solved, and its predictions were compared with results of computational finite-elements simulations performed in ANSYS/AUTODYN. Additionally, engineering and computational models were validated with experimental data using spherical-nosed, M300 steel projectiles impacting a semi-infinite Al 6061-T651 plate. Comparisons showed good agreement among engineering model results, computational model results and experimental data.


Materials Science and Engineering

Keywords and Phrases

Computation theory; Computational methods; Elastoplasticity; Spheres; Strain rate, Computational model; Dynamic spherical cavity expansion; Engineering fields; Engineering modeling; Finite elements simulation; Penetration models; Rate sensitive material; Spherical cavities, Strength of materials

International Standard Serial Number (ISSN)

0001-5970; 1619-6937

Document Type

Article - Journal

Document Version


File Type





© 2015 Springer-Verlag Wien, All rights reserved.

Publication Date

01 Sep 2015