Stress Distribution in Front of the Crack - Analytical Solutions vs. Numerical. Can the Differences be Minimized?

摘要

It is shown that it is possible to obtain such material parameters as a and Q, which, when used in the analytical formulae proposed by Hutchinson, Rice and Rosengren and O'Dowd and Shih, can lead to stress distributions similar to those obtained numerically (except for the region at the immediate crack front). The numerical solution obtained after calibration of the stress-strain uniaxial curve and assuming large strains is expected to be close to the ""real" stress distribution. Thus, the analytical solution is also close to the "real" stress distribution. These new values of a and Q can now be used in fracture criteria proposed within the scope of classical nonlinear fracture mechanics.