Geodesic
Theory of fatigue fracture under the complex stress state of metals with consideration of structural changes
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2019), pp. 29-34

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A phenomenological model of metal fatigue failure at proportional loading is presented. The model is constructed within the framework of the physico-mechanical approach as a system of hypotheses about a probability of stage-by-stage grow of defects at different scale-structural levels (such as brittle micro- and macrocracks). The constitutive relations are formulated on the basis of this model. A number of fatigue curves are obtained for various failure states of metals. 
@article{VMUMM_2019_2_a4,
     author = {\`E. B. Zavoychinskaya},
     title = {Theory of fatigue fracture under the complex stress state of metals with consideration of structural changes},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {29--34},
     publisher = {mathdoc},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_2_a4/}
}
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È. B. Zavoychinskaya. Theory of fatigue fracture under the complex stress state of metals with consideration of structural changes. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2019), pp. 29-34. http://geodesic.mathdoc.fr/item/VMUMM_2019_2_a4/