Matlab
Given a hall-petch equation σ= σo+Kd^(-1/2) and the data given K=9600 psi sqrt mm, σo = 12,000 psi. We would like to find out what σ is in psi when the diameter of the average grain is 1mm.
a) Create a function called HallPetch that requires three inputs σo, K and d and calculates the value of yield strength. Call this function from MATLAB program that supplies values σo of and K then plots the value of yield strength for values of d from 0.1 to 10 mm with increments of 0.1 mm.
b) Then create a table with diameter in the first column and the calculated yield stress in the second column for diameters 0.1 to 10 mm with 0.1 mm increments.
c) Then plot a graph with the calculated yield strength versus diameter in MATLAB.