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Open AccessReview

Spherical Cavity Expansion Approach for the Study of Rigid-Penetrator’s Impact Problems

by Mario Buchely 1,*,† and Alejandro Marañon 2,†
1
Department of Materials Science and Engineering, Missouri University of Science and Technology, Rolla, MO 65409, USA
2
Department of Mechanical Engineering, Universidad de los Andes, CR 1E 19A 40, Bogota DC 111711, Colombia
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Appl. Mech. 2020, 1(1), 20-46; https://doi.org/10.3390/applmech1010003
Received: 13 December 2019 / Revised: 24 January 2020 / Accepted: 27 January 2020 / Published: 5 February 2020
In recent years, Spherical Cavity Expansion (SCE) theory has been extensively utilized to model dynamic deformation processes related to indentation and penetration problems in many fields. In this review, the SCE theory is introduced by explaining the different mathematical features of this theory, its solution, and a potential application to model the penetration of a rigid penetrator into a deformable target. First, a chronologically literature review of the most common models used to study this kind of penetration problems is introduced, focusing on the SCE theory. Then, the engineering model of penetration is presented using the SCE approach. The model is then compared and validated with some FE numerical simulations and with previous penetration results. It is concluded that this engineering model based on the SCE theory can be utilized to predict the projectile deceleration and penetration depth into the semi-infinite and finite targets impacted by rigid penetrators. View Full-Text
Keywords: impact penetration dynamics; spherical cavity expansion; rigid penetrator; deformable target impact penetration dynamics; spherical cavity expansion; rigid penetrator; deformable target
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Buchely, M.; Marañon, A. Spherical Cavity Expansion Approach for the Study of Rigid-Penetrator’s Impact Problems. Appl. Mech. 2020, 1, 20-46.

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