Abstract
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.
Highlights
Impact-Penetration Dynamics (IPD) is the mechanics of deformation caused by two or more colliding bodies when one of them permanently changes its shape, or its integrity, due to the high forces developed during impact
The main objective of this review is to introduce the Spherical Cavity Expansion (SCE) theory and formulation by explaining the different mathematical features of this approach, its solution, and potential application in penetration problems
An engineering model of penetration to predict the final penetration depth when a soft target was impacted by a rigid projectile was formulated
Summary
Impact-Penetration Dynamics (IPD) is the mechanics of deformation caused by two or more colliding bodies when one of them permanently changes its shape, or its integrity, due to the high forces developed during impact. Hopkins and Kolsky [3] categorized penetration processes by the different physical mechanisms that come into play, which determine the nature of the penetration process. Adding more variables in the classification makes the analysis more confused This schematic only shows a wide concept for the study of IPD, and it could involve different scenarios, from low velocity impacts to high energy projectiles
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