Sufficient criterion of fracture in the case with a complex stress state and non-proportional deformation of the material in the pre-fracture zone |
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| Authors: | V M Kornev V D Kurguzov |
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| Institution: | (1) Department of Materials Engineering, University of Salamanca, E.P.S., Campus Viriato, Avda Requejo 33, 49022 Zamora, Spain;(2) Pidstryhach Institute for Applied Mechanics and Mathematics, Lviv, Ukraine |
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| Abstract: | A general case of proportional loading with a complex stress state of the material in the pre-fracture zone, which is typical
for polycrystalline solids with plastic deformation, is considered. A sufficient criterion of fracture is proposed for the
case of a complex stress state with non-proportional deformation of the material in the pre-fracture zone. Critical parameters
of fracture (pre-fracture zone length and load) for cracks propagating in quasi-brittle materials are obtained with the use
of a modified Leonov-Panasyuk-Dugdale model. The pre-fracture zone width is determined by solving the problem of the plasticity
theory in the vicinity of the crack tip. The proposed modification of the Leonov-Panasyuk-Dugdale model makes it possible
to estimate the critical opening of the crack and the critical displacement of the crack flanks. Inequalities that describe
different mechanisms of material fracture under proportional loading (predominantly shear fracture mechanism and fracture
mechanism through cleavage) are derived. |
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