Mechanical, Mathematical, and Computer Modeling in Penetration Mechanics - IV (Hybrid Models for Nanostructured Ceramics - II)

摘要

Penetration of non-deformable projectiles in continuum with various rheological properties has been of interest to researchers for a long time. The first modeling representations of penetration were formulated in XVIII-XIX centuries in Euler's, Poncelet's, Wuich's works, etc. Analysis of these results can be found in A.J. Sagomonjan's monographs. In conjunction with development of more exact and effective technical means in the last two decades, the interest in this problem has considerably increased, and this is proved by works of Voejkova and Sagomonjan (1985), Alojan (1985), Liapykhin et al. (1993), Bahrah et al. (1992), Forrestal et al. (1988), (1992), (2000), Dikshit and Sundararajan (1992), Piekutowski et al. (1999), Warren and Forrestal (1998), Warren (2000), Yossifon et al. (2001), Chen and Li (2002). The analysis of the modern state of the problem of analytical modeling of high-velocity penetration of non-deformable projectiles in targets can be found in works by Forrestal et al., Warren and Forrestal, Yarin et al., Yossifon, Chen and Li. From this analysis, it follows that at present there is a deficiency of relatively simple analytical models using natural, physical, and geometrical parameters of projectiles and targets and with a small number of fitting parameters. In this study, we have built and investigated a new model of penetration of non- deformable projectiles of various shapes in elastic-plastic and elastic-brittle materials.