SEMI-EMPIRICAL PROCEDURES FOR ESTIMATION OF RESIDUAL VELOCITY AND BALLISTIC LIMIT FOR IMPACT ON MILD STEEL PLATES BY PROJECTILES

Abstract

<!-- /* FONT DEFINITIONS */ @FONT-FACE {FONT-FAMILY:"CAMBRIA MATH"; PANOSE-1:2 4 5 3 5 4 6 3 2 4; MSO-FONT-CHARSET:1; MSO-GENERIC-FONT-FAMILY:ROMAN; MSO-FONT-FORMAT:OTHER; MSO-FONT-PITCH:VARIABLE; MSO-FONT-SIGNATURE:0 0 0 0 0 0;} /* STYLE DEFINITIONS */ P.MSONORMAL, LI.MSONORMAL, DIV.MSONORMAL {MSO-STYLE-UNHIDE:NO; MSO-STYLE-QFORMAT:YES; MSO-STYLE-PARENT:""; MARGIN:0CM; MARGIN-BOTTOM:.0001PT; MSO-PAGINATION:WIDOW-ORPHAN; FONT-SIZE:10.0PT; FONT-FAMILY:"TIMES NEW ROMAN","SERIF"; MSO-FAREAST-FONT-FAMILY:"TIMES NEW ROMAN"; MSO-ANSI-LANGUAGE:EN-GB; MSO-FAREAST-LANGUAGE:EN-US;} P.MSOBODYTEXT2, LI.MSOBODYTEXT2, DIV.MSOBODYTEXT2 {MSO-STYLE-UNHIDE:NO; MSO-STYLE-LINK:"CORPO DE TEXTO 2 CHAR"; MARGIN-TOP:0CM; MARGIN-RIGHT:0CM; MARGIN-BOTTOM:6.0PT; MARGIN-LEFT:0CM; LINE-HEIGHT:200%; MSO-PAGINATION:WIDOW-ORPHAN; FONT-SIZE:10.0PT; FONT-FAMILY:"TIMES NEW ROMAN","SERIF"; MSO-FAREAST-FONT-FAMILY:"TIMES NEW ROMAN"; MSO-ANSI-LANGUAGE:EN-GB; MSO-FAREAST-LANGUAGE:EN-US;} SPAN.CORPODETEXTO2CHAR {MSO-STYLE-NAME:"CORPO DE TEXTO 2 CHAR"; MSO-STYLE-UNHIDE:NO; MSO-STYLE-LOCKED:YES; MSO-STYLE-LINK:"CORPO DE TEXTO 2"; MSO-ANSI-LANGUAGE:EN-GB; MSO-FAREAST-LANGUAGE:EN-US;} .MSOCHPDEFAULT {MSO-STYLE-TYPE:EXPORT-ONLY; MSO-DEFAULT-PROPS:YES; FONT-SIZE:10.0PT; MSO-ANSI-FONT-SIZE:10.0PT; MSO-BIDI-FONT-SIZE:10.0PT;} @PAGE SECTION1 {SIZE:612.0PT 792.0PT; MARGIN:70.85PT 3.0CM 70.85PT 3.0CM; MSO-HEADER-MARGIN:36.0PT; MSO-FOOTER-MARGIN:36.0PT; MSO-PAPER-SOURCE:0;} DIV.SECTION1 {PAGE:SECTION1;} --> THIS PAPER DEALS WITH THE DEVELOPMENT OF SIMPLIFIED SEMI-EMPIRICAL RELATIONS FOR THE PREDICTION OF RESIDUAL VELOCITIES OF SMALL CALIBRE PROJECTILES IMPACTING ON MILD STEEL TARGET PLATES, NORMALLY OR AT AN ANGLE, AND THE BALLISTIC LIMITS FOR SUCH PLATES. IT HAS BEEN SHOWN, FOR SEVERAL IMPACT CASES FOR WHICH TEST RESULTS ON PERFORATION OF MILD STEEL PLATES ARE AVAILABLE, THAT MOST OF THE EXISTING SEMI-EMPIRICAL RELATIONS WHICH ARE APPLICABLE ONLY TO NORMAL PROJECTILE IMPACT DO NOT YIELD SATISFACTORY ESTIMATIONS OF RESIDUAL VELOCITY. FURTHERMORE, IT IS DIFFICULT TO QUANTIFY SOME OF THE EMPIRICAL PARAMETERS PRESENT IN THESE RELATIONS FOR A GIVEN PROBLEM. WITH AN EYE TOWARDS SIMPLICITY AND EASE OF USE, TWO NEW REGRESSION-BASED RELATIONS EMPLOYING STANDARD MATERIAL PARAMETERS HAVE BEEN DISCUSSED HERE FOR PREDICTING RESIDUAL VELOCITY AND BALLISTIC LIMIT FOR BOTH NORMAL AND OBLIQUE IMPACT. THE LATTER EXPRESSIONS DIFFER IN TERMS OF USAGE OF QUASI-STATIC OR STRAIN RATE-DEPENDENT AVERAGE PLATE MATERIAL STRENGTH. RESIDUAL VELOCITIES YIELDED BY THE PRESENT SEMI-EMPIRICAL MODELS COMPARE WELL WITH THE EXPERIMENTAL RESULTS. ADDITIONALLY, BALLISTIC LIMITS FROM THESE RELATIONS SHOW CLOSE CORRELATION WITH THE CORRESPONDING FINITE ELEMENT-BASED PREDICTIONS.