526 



■'m 







is the peak pressure of the shock-wave (assumed exponential) 

 in lbs/in. 2 



is the time (sec) required for the pressure of the shock-wave 

 to fall to Pm/e, where e = 2.718 and 



g is a function of dJO as given in Table II below. 



Table II. Values of g corresponding to various values of 6J0 



Equations (l) and (2) combined with Table II allow a csJ.culation 

 to be made of the diaphreigm deformation to be expected with a UERL 

 damage gauge for given experimental conditions. Further details may be 

 found in reference 9- 



IV. COMPARISON OF THEORY AND EXPERIMENT 



1. Steel Diaphragms 



The Kirkwood eqviations given in Section III have been used to pre- 

 dict damage versus charge weight curves for Lot 3 ancL Lot 5 steel 

 diaphragms in regular UERL damage gauges. These curves are shown in 

 Figiires 6 and 7 where experimental data are also plotted to indicate 

 the excellent agreement between theory and experiment under these 

 conditions . 



For determining the theoretical curves the following data were used. 



a^j = 0.085 in. for Lot 3 diaphragms 



a^ = 0.080 in. for Lot 5 diaphreignis 



f =7.8 gm/cm3 



/*, =1.01 gm/cm3 



ai a 60,000 lb/in. ^ for Lot 3 diaphragms 



O^ = 68,000 lb/in. ^ for Lot 5 diaphragms 



