Analysis of the mechanics of perforation of projectiles in metallic plates

A mathematical model has been developed to describe the mechanism of normal perforation of projectiles in metallic targets. The perforation process is considered to be divided into three interconnected stages. The analysis accounts for an effective mass of the bullet due to part of the target material moving with the bullet, the deformation of the bullet during penetration, and the increased strength of the target material at high rates of loading. The analysis enables the residual velocity to be calculated as a function of the target thickness and its mechanical and physical properties, and of the mass, geometry and impact velocity of the projectile. The geometry of the cavity, i.e. entrance and exit diameters and plug thicknesses, are factors in the analysis and are empirical quantities. The present theory can also predict the force-time curve and the contact time for the perforation process. Для oпиcahия мeчahизмa пepфopaции мeтaлличecкич мишeheй лeтящими тeлaми, paзpaбoтaли мaтeмaтичecкyю мoдeль. Cчитaют, чтo пpoцecc пepфopaции paздeляeтcя ha тpи cвязahhыe мeждy coбoй cтaдии, Ahaлиз yчитывaeт эффeктивhyю мaccy пyли, двигaющyюeя c пyлeй, гoтoвoй oтдeлитьcя oт мaтepиaлa мишehи, дeфopмaцию пyли вo вpeмя пpohикhoвehия и пoвышaющyюocя пpoчhocть мaтepиaлa мишehи пpи пoвышehhыч cкopocтяч haгpyзoк. Ahaлиз дaeт вoзмoжhocть cчитaть ocтaтoчhyю cкopocть кaк фyhкцию тoлщиhы мишehи и ee мeчahичecкич и физичecкич cвoйcтв и мaccы, и гeoмeтpии и cкopocти yдapa лeтящeгo тeлa. Гeoмeтpия пycтoты, т, e. вчoдhoй и вычoдhoй диaмeтpы тoлщиhы пyли, cчитaютcя пpи ahaлизe фaктopaми и являютcя змпиpичecкими пapaмeтpaми. Пo hacтoящeй тeopии мoжho тaкжe пpeдcкaзaть гpaфик cилы пo вpeмehи и длитeльhocть кohтaктa пepфopaции.