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Modified failure assessment diagram of three-dimensional solids with notches
https://doi.org/10.26896/1028-6861-2026-92-7-60-67
Abstract
The paper deals with a modified notch failure assessment diagram taking into account in-plane and out-of-plane constraint parameters in terms of nonsingular Txx- and Tzz-stresses in the fracture process zone ahead of the notch tip front. A local failure criterion based on an average maximum tangential stress in the fracture process zone has been proposed to describe notch failure assessment curves. The average maximum tangential stress is assumed to be equal to the local strength in the fracture process zone which is calculated by means of the Huber – Mises plasticity criterion taking into account nonsingular Txx- and Tzz-stresses. To reflect the combined effect of the constraint parameters, it is proposed to use the Tz-parameter, which is a complex parameter of constraint at the notch tip front of a three-dimensional solids and reflects the constraint both perpendicular and along the notch tip front through the components of non-singular Txx- and Tzz-stresses, respectively. It was established that there is the significant effect of the elastic stress concentration factor, out-of-plane notch tip constraints and Tz-parameter on notch failure assessment curves in the case of three-dimensional solids. Notch failure assessment curves shift along the abscissa axis as the theoretical stress concentration factor increases. Besides, notch failure assessment curves for three-dimensional solids are located between the curves corresponding to the conditions of plane stress and plane strain. In the case of an unlimited theoretical stress concentration factor, the notch failure assessment curves for a notched solid transform into the failure assessment curves for a solid with the crack.
About the Author
Y. G. Matvienko
Blagonravov Mechanical Engineering Research Institute of the Russian Academy of Sciences
Russian Federation
Russian Federation
Yury G. Matvienko
4, Malyi Kharitonievskii per., Moscow, 101000
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Review
For citations:
Matvienko Y.G. Modified failure assessment diagram of three-dimensional solids with notches. Industrial laboratory. Diagnostics of materials. 2026;92(7):60-67. (In Russ.) https://doi.org/10.26896/1028-6861-2026-92-7-60-67
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