Study of Steady Cavitation Assumptions in Strain-Rate-Sensitive Solids for Rigid Projectile Penetrations


Spherical cavity expansion is a well-known theory used to develop penetration models and failure analysis on solids. However, some limitations of this theory have been found, especially when complex materials have been tried to model. In this paper, steady cavitation assumptions are studied for strain-rate-sensitive solids, in order to apply cavity-expansion results to the penetration of rigid projectiles. In this way, this paper is the continuation of our previous paper, where an engineering penetration model was formulated using the dynamic spherical cavity-expansion theory for an elasto-plastic, compressible, Cowper—Symonds solid. In the present work, the assumption of self-similarity transformation was studied and verified for rigid projectile penetration in strain-rate-sensitive solids. The cavity-expansion problem was studied by finite-element simulations performed in ANSYS/AUTODYN for semi-infinite 6061-T651 Al plates. Additionally, engineering and computational penetration models were compared for different M300 steel spheres impacting the semi-infinite 6061-T651 Al targets. It was found that self-similarity transformation cannot be applied to strain-rate-sensitive solids; however, if the spherical cavity is constant, as in a rigid projectile penetration event, assumptions of steady stresses are valid, and the self-similarity transformation can be applied at medium and low penetration velocities.


Materials Science and Engineering

Keywords and Phrases

Aluminum; Bubble columns; Cavitation; Computation theory; Expansion; Finite element method; Projectiles; Spheres; Superconducting tapes, Complex materials; Dynamic spherical cavity expansion; Finite element simulations; Penetration models; Penetration velocity; Self-similarities; Spherical cavities; Spherical cavity expansion, Strain rate

International Standard Serial Number (ISSN)

0001-5970; 1619-6937

Document Type

Article - Journal

Document Version


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© 2016 Springer-Verlag Wien, All rights reserved.

Publication Date

01 Oct 2016