It is well known that the yield strength of metals is dependent on the size of t

Question

It is well known that the yield strength of metals is dependent on the size of the poly-crystals that make up the microstructure. The yield strength, sigma, can be related to the average grain diameter by the Hall-Petch equation: sigma = sigma_0 + Kd^-1/2 where sigma_0 and K are material-specific constants and d is the average grain size. Create a function called HallPetch. The function should take 3 scalar inputs (sigma_0, K, d) which it then uses to calculate the yield strength. Make a table of yield strengths for grain sizes going from 0.1 to 10 mm in 0.1 mm increments. Your function should not take a vector input. Use a loop to call the function multiple times. Take sigma = 12,000psi and K = 9600psi squareroot mm. The table should have the following form:

Explanation / Answer

Implementation of Hall-Petch function in C++

#include<iostream.h>
#include <iomanip>
#include<math.h>

float HallPetch(int constant, int K, double d){
    double yield_strength;

    yield_strength = constant + K / pow(d, 0.5);
    return yield_strength;
}

void main(){

   double d;
    
   d= 0.1;
   cout << "Grain Size(mm)       " << Yield Strength(psi)
   while (d < 10.1){
      cout << d << "        " << setprecision(2) << HallPetch(12000, 9600,d);
      d = d+0.1;
   }
}

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