Journal of Theoretical
and Applied Mechanics
0, 0, pp. , Warsaw 0

Stress distribution in front of the crack - analytical solutions vs. numerical. Can the differences be minimized?

Andrzej Neimitz, Sebastian Michał Lipiec
It is shown that it is possible to obtain such parameters as α and Q, which, when used in the analytical formulae proposed by O’Dowd and Shih, can lead to stress distributions similar to those obtained numerically. 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, after correction is also close to the “real” stress distribution. These new values of α and Q can now be used in fracture criteria proposed within the scope of classical nonlinear fracture mechanics.
Keywords: stress distribution in front of crack; HRR; constitutive equation calibration

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