Contact Pressure | Python for mechanical engineer | FEA python | Hand Calculation Mechanical

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tumbling image ref : "Experimental and simulation analyses of the stress field of slider-on-block contact for static and slip states"
ScienceDirect "The contact pressure is the ratio of the normal load to the true contact area, which is the sum of the front and rear areas. It may be called the scratch hardness only in the case of plastic contact. Figure 4 shows the mean contact pressure as a function of the contact strain for all three types of polymer sample. As previously seen, there is no large difference in the responses to the two tips. On the uncoated material, scratched by the smooth tip, the contact pressure increases from 90 to 140 MPa and then seems to decline as the ratio a/Rtip exceeds 0.4, whereas on the 4.38 mm coating the contact pressure increases continuously. In view of the evolution of the rear angle, one may assume that the contact behaviour of the thickly coated sample is essentially elastic-plastic."
import numpy as np
import matplotlib.pyplot as plt
E=2.1e5
P=10
R=50
a=2*(((P*R)/(np.pi*E)))**0.5
x=np.linspace(-a,a,100)
p=(((P*E)/(np.pi*R))-(x**2*E**2/(4*R**2)))**0.5
plt.plot(x,p)

[@mohitkhandelwal7671]

numpy and matplotlip is sufficient library for mechanical engineering to do your courses

[@HarikrushnaDodiya]

Yes, may be scipy, my some tutorial contains scipy also, example "equation solving, optimization, integral, differential, etc"