468 
} 
= |= 
3g 
PRP 
~ 
su 
~~. 
Step 
Baas 
+ Qu 
“—. 
(8.30) 
ae be Pn db, 
ey ee eae (8.31) 
Employing Eqs. 8.20, we obtain 
oe VAR, [ia hny i for] abn} 
5 Ulee Garang. Po | Pm 4k (8.32) 
All quantities in the expression for @ may be expressed in terms of the 
integrals of the equations for the shock wave, Eqs. 8.22 or 8.24, with the 
aid of the Hugoniot relations. 
For ane xponential pressure-time curve consistent with the peak 
approximation and exponential energy-time curve, the impulse is given by 
east) ae (8.33) 
and therefore 
cee a s ’ 
Bias ol L0t3) (mfp) -G6 Upp] BE 4 m) 2 (8.34) 
Eqs. 824 require the specification of two constants of integra- 
tion for their explicit integration, which is to be carried out by numerical 
procedures. The constants of integration may be determined either by the 
theoretica! calculation of the initial peak pressure and energy of the 
generating pulse from thermodynamic information concerning the explosion 
products or from experimental measurements of the shock-wave parameters. 
The former method makes possible an a priori determination of the peak 
te) 
