title: ÐÑÐµÐ½ÐºÐ° ÑÐµÑÑÑÑÐ° ÑÑÐ°ÑÑÐºÐ¾Ð² ÑÑÑÐ±Ð¾Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¾Ð², Ð¿Ð¾Ð´Ð²ÐµÑÐ¶ÐµÐ½Ð½ÑÑ Ð¸Ð½ÑÐµÐ½ÑÐ¸Ð²Ð½Ð¾Ð¹ Ð¿ÑÐ»ÑÑÐ°ÑÐ¸ÐµÐ¹ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ð¹
title: Ð¼Ð°Ð³Ð¸ÑÑÐµÑÑÐºÐ°Ñ Ð´Ð¸ÑÑÐµÑÑÐ°ÑÐ¸Ñ
titleType: Subtitle
Creators: name: Ð¡Ð¸Ð´Ð¾ÑÐµÐ½ÐºÐ¾, ÐÐ°Ð»ÐµÐ½ÑÐ¸Ð½Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2016
Subjects: Ð¢ÑÑÐ±Ð¾Ð¿ÑÐ¾Ð²Ð¾Ð´Ñ
Ð¾ÑÑÐ°ÑÐ¾ÑÐ½ÑÐ¹ ÑÐµÑÑÑÑ
Ð¿ÑÐ»ÑÑÐ°ÑÐ¸Ñ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ
ÑÑÑÐ°Ð»Ð¾ÑÑÐ½Ð°Ñ ÑÑÐµÑÐ¸Ð½Ð°
ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÑ Ð¸Ð½ÑÐµÐ½ÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸

description: Ð Ð½Ð°ÑÑÐ¾ÑÑÐµÐµ Ð²ÑÐµÐ¼Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¿Ð¾Ð´ÑÐ°ÑÑÐ°Ð½Ð¸Ñ ÑÑÑÐ°Ð»Ð¾ÑÑÐ½ÑÑ ÑÑÐµÑÐ¸Ð½ Ð´Ð»Ñ Ð¾ÑÐµÐ½ÐºÐ¸ Ð¾ÑÑÐ°ÑÐ¾ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÑÑÑÐ° ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð²Ð½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð¿Ð¾ÑÑÐ¸ Ð¿Ð¾Ð»Ð½Ð¾ÑÑÑÑ Ð¾Ð¿Ð¸ÑÐ°ÐµÑÑÑ Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ Ð¼ÐµÑÐ°Ð½Ð¸ÐºÐ¸ ÑÐ°Ð·ÑÑÑÐµÐ½Ð¸Ñ (ÐÐÐ ) ÑÐ²ÐµÑÐ´Ð¾Ð³Ð¾ ÑÐµÐ»Ð° (Ð´Ð»Ñ ÑÑÐ¾Ð³Ð¾ ÑÑÐµÐ±ÑÐµÑÑÑ Ð½Ð°ÑÐ°Ð»ÑÐ½Ð°Ñ ÑÑÐµÑÐ¸Ð½Ð°). ÐÐ¾Ð´ÑÐ¾Ð´ ÐÐÐ  Ð½Ðµ Ð¼Ð¾Ð¶ÐµÑ Ð±ÑÑÑ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½ Ð¿ÑÐ¸ ÑÐ°Ð·Ð²Ð¸ÑÐ¾Ð¹ Ð¿Ð»Ð°ÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸, ÐºÐ¾ÑÐ¾ÑÐ°Ñ ÑÐ²Ð»ÑÐµÑÑÑ Ð¾Ð´Ð½Ð¸Ð¼ Ð¸Ð· Ð²ÐµÐ´ÑÑÐ¸Ñ ÑÐ°ÐºÑÐ¾ÑÐ¾Ð², ÑÐ²ÑÐ·Ð°Ð½Ð½ÑÑ Ñ ÑÐ°Ð·ÑÑÑÐµÐ½Ð¸ÐµÐ¼, Ð° Ð¾ÑÐµÐ½ÐºÐ° ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð² Ð¸Ð½ÑÐµÐ½ÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ (ÐÐÐ) Ð¿Ð¾ ÑÑÐ¾Ð½ÑÑ Ð²ÑÑÑÐµÑÐ°ÐµÑ ÑÑÑÐ´Ð½Ð¾ÑÑÐ¸, ÑÐ²ÑÐ·Ð°Ð½Ð½ÑÐµ Ñ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ Ð²Ð´Ð¾Ð»Ñ ÑÑÐ¾Ð½ÑÐ° ÑÑÐµÑÐ¸Ð½Ñ. Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ Ð¿Ð¾Ð´ÑÐ¾Ð´ Ð´Ð»Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸ Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐ½Ð¾Ð¹ ÑÑÐµÑÐ¸Ð½Ñ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ ÐºÑÐ¸ÑÐµÑÐ¸Ñ ÑÑÑÐ°Ð»Ð¾ÑÑÐ½Ð¾Ð³Ð¾ ÑÐ°Ð·ÑÑÑÐµÐ½Ð¸Ñ Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð½Ð°ÐºÐ¾Ð¿Ð»ÐµÐ½Ð¸Ñ Ð¿Ð¾Ð²ÑÐµÐ¶Ð´ÐµÐ½Ð¸Ð¹. ÐÐ¾Ð´ÑÐ¾Ð´ Ð¿ÑÐ¸Ð½Ð¸Ð¼Ð°ÐµÑ Ð²Ð¾ Ð²Ð½Ð¸Ð¼Ð°Ð½Ð¸Ðµ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½ÑÐ¹ ÑÐ°ÑÐ°ÐºÑÐµÑ Ð½Ð°ÐºÐ¾Ð¿Ð»ÐµÐ½Ð¸Ñ Ð¿Ð¾Ð²ÑÐµÐ¶Ð´ÐµÐ½Ð¸Ð¹, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ ÑÑÐ¸ÑÑÐ²Ð°ÑÑ ÑÑÑÐµÐºÑ ÑÐ°ÑÐºÑÑÑÐ¸Ñ ÑÑÐµÑÐ¸Ð½Ñ Ð¸ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ðµ Ð¿Ð¾Ð´Ð°ÑÐ»Ð¸Ð²Ð¾ÑÑÐ¸ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð° Ð¿ÑÐ¸ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ð¸ Ð¿Ð¾Ð²ÑÐµÐ¶Ð´ÐµÐ½Ð¸Ñ. ÐÐ¾ÑÐ²Ð»ÑÐµÑÑÑ ÑÐ°ÐºÐ¶Ðµ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑ Ð¾ÑÐµÐ½Ð¸Ð²Ð°ÑÑ Ð¿ÑÐ¾Ð³ÑÐµÑÑ Ð¿Ð¾Ð²ÑÐµÐ¶Ð´ÐµÐ½Ð¸Ñ Ð¿ÑÐ¸ ÑÑÐµÑÐ¸Ð½Ð°Ñ, Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð½ÑÑ Ð»ÑÐ±ÑÐ¼ Ð½Ð°ÑÐ°Ð»ÑÐ½ÑÐ¼ Ð´ÐµÑÐµÐºÑÐ¾Ð¼ Ð¸Ð»Ð¸ Ð´Ð°Ð¶Ðµ Ð¿ÑÐ¸ Ð¾ÑÑÑÑÑÑÐ²Ð¸Ð¸ Ð½Ð°ÑÐ°Ð»ÑÐ½Ð¾Ð¹ ÑÑÐµÑÐ¸Ð½Ñ. Ð¢Ð°ÐºÐ¶Ðµ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ ÐºÑÐ¸ÑÐµÑÐ¸Ñ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ Ð¸Ð·ÑÑÐ°ÑÑ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ðµ ÑÑÐµÑÐ¸Ð½Ñ Ð¿ÑÐ¸ ÑÐ°Ð·Ð²Ð¸ÑÐ¾Ð¹ Ð¿Ð»Ð°ÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸.
description: Currently, modeling of fatigue crack growth check for assessing the residual life of structural elements is almost entirely based on the use of linear fracture mechanics (LRM) solid (this requires an initial crack). LRM approach can not be applied when the developed plastic deformation, which is one of the leading factors related to the destruction, and the evaluation of the stress intensity factors (SIF) on the front faces obstacles related to changes in the state of stress along the crack front. In this paper we propose an approach for modeling the evolution of surface crack based on the criterion of fatigue failure strain and finite element modeling of damage accumulation. The approach takes into account the non-linear nature of the accumulation of damage, takes into account the effect of the crack opening and increase compliance with material damage development. It appears as an opportunity to assess the progress of damage in crevices formed by any initial defect, or even in the absence of the initial crack. Also, the use of strain criterion allows us to study the spread of the cracks developed during plastic deformation.