ARTICLE
Stress distribution in front of the crack – analytical solutions vs. numerical. Can the differences be minimized?
 
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Kielce University of Technology, Faculty of Mechatronics and Mechanical Engineering, Kielce, Poland
Online publish date: 2019-07-15
Publish date: 2019-07-15
Submission date: 2018-07-10
Acceptance date: 2019-03-31
 
Journal of Theoretical and Applied Mechanics 2019;57(3):713–721
KEYWORDS
ABSTRACT
It is shown that it is possible to obtain such parameters as 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 and Q can now be used in fracture criteria proposed within the scope of classical nonlinear fracture mechanics.
 
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