Determine the stress intensity factor for the center

Question

Question 1 - Determine the stress intensity factor for the edge cracked panel (consider σ_ys = 63 (ksi)) for the following cases:

A) No plastic zone adjustment

B) With plastic zone adjustment for both √(πa) and β for plane stress

C) With plastic zone adjustment for both √(πa) and β for plane strain

Question 2 - Determine the stress intensity factor for the center cracked panel (consider σ_ys = 63 (ksi)) for the following cases:

A) No plastic zone adjustment

B) Plain Strain: plastic zone adjustment only to √(πa)

C) Plane Stress: plastic zone adjustment only to √(πa)

D) Plain Strain: plastic zone adjustment for both √(πa) and β

E) Plain Stress: plastic zone adjustment for both √(πa) and β

Question 3 - Determine the stress intensity factor for the center cracked panel (consider σ_ys = 63 (ksi)) for the following cases:

A) σ = 15 (ksi) in Plane Stress

1- No plastic zone adjustment

2- With plastic zone adjustment for only √(πa)

3- With plastic zone adjustment for both √(πa) and β

B) σ = 30 (ksi) in Plane Stress

4- No plastic zone adjustment

5- With plastic zone adjustment for only √(πa)

6- With plastic zone adjustment for both √(πa) and β

Question 4 - Plot the plastic zone shape r_p vs. θ, according to the Von Mises yield criterion for the edge cracked panel. Use σ_ys = 50 (ksi)

A) Plane Stress

B) Plane Strain