<jupyter_start><jupyter_text>PBX 9404 from  Roth 1970<jupyter_code>C0 = 2450 #m/s
S = 2.48
rho = 1840 #kg/m^3<jupyter_output><empty_output><jupyter_text>Walker-Wasley<jupyter_code>C = 4.09e12
Pww = np.linspace(1e8,100e9,10000) #Pa
t = wwt(C,Pww) #s
upww = upfromP(rho,C0,S,Pww)<jupyter_output><empty_output><jupyter_text>Modified James<jupyter_code>Pic = 0.0115e13 #GW/cm^2
Ec = 0.0474e7 #kJ/cm^2
Pj = np.linspace(7.8e8,100e9,10000)
upj = upfromP(rho,C0,S,Pj)

tau = (Ec/(1.-(Pic/(Pj*upj))))/(Pj*upj)
fig= plt.figure(figsize=(6,5))
plt.plot(np.log10(t*1e6),np.log10(Pww/1e9),linewidth=4)
plt.plot(np.log10(tau*1e6),np.log10(Pj/1e9),linewidth=4)
plt.xlabel(r'Pulse Duration $\tau$ (log[$\mu$s])')
plt.ylabel(r'Load Pressure $P$ (log[GPa])')
plt.xlim([-3,2])
plt.ylim([-1,2])
plt.show()
fig= plt.figure(figsize=(6,5))
plt.plot(Pww*upww/1e13,Pww*upww*t/1e7,linewidth=4)
plt.plot(Pj*upj/1e13,Pj*upj*tau/1e7,linewidth=4)
plt.xlabel(r'Power flux $\Pi$ (GW/cm$^2$)')
plt.ylabel(r'Energy fluence $E$ (kJ/cm$^2$)')
plt.xlim([0,8])
plt.ylim([0,0.15])
plt.show()<jupyter_output><empty_output>
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