Calculate (a) the critical stress intensity factor for a plate containing a single-edge crack of 10-mm long at fracture, (b) the fracture stress if...

Calculate (a) the critical stress intensity factor for a plate containing a single-edge crack of 10-mm long at fracture, (b) the fracture stress if the plate is 20-mm wide, (c) the critical crack tip opening displacement, (d) the plastic zone size, and (e) interpret the results with regard to plane strain condition. (f) Assume that isotropic solid material having a single-edge crack is subjected to a remote tensile stress at room temperature. Let the properties of the material be, 500 MPa σ, Poisson’s ratio 3/1=v and 72 MPa E. Use the Tresca yielding criterion to derive (i) an expression for the critical plastic zone angle (cθ) and its magnitude when minimum principal stresses are equal (32σ=σ), (ii) determine when 2σ=σ and 3σ=σ by knowing the value of cθ, (iii) the plastic zone size at cθ and 20 MPa KI. (g) Consider a ductile steel plate containing a 50-mm through-thickness central crack subjected to a remote tensile stress of 40 MPa. If the yield strength of the steel is 300 MPa, then calculate IK as per LEFM, Irwin’s approximation and the Dugdale’s strip yield criterion. Compare results. Repeat all calculations for 290 MPa remote stress. Explain.