This question is straightforward, and shows an application of the concept of stress state being determined by the ratio of crack tip plastic zone size to specimen thickness. This concept is used in plane strain fracture toughness tests to BS 7448 : Part 1 : 1991 in choosing specimen thickness and checking that plane strain conditions existed in the test (see Problem 6, i.e. Missile Motor Case Fracture). It should take about 10 minutes to complete.
Catastrophic fracture occurred in a thick steel plate during proof testing, at an applied stress of 700 MPa. The initiating defect was an embedded sharp penny-shaped flaw with a radius of 2.5 cm. Calculate the fracture toughness of this steel.
It is desired to check this value by determining the plane strain fracture toughness from standard tests. The yield strength of the steel is 1100 MPa. A sheet of nominally similar steel, 7.5 mm thick, is available. Is this sufficiently thick to obtain a valid K1C value? If not, what thickness of steel should you order?
The stress intensity solution for an embedded circular crack is: