title: ÐÐ½Ð°Ð»Ð¸Ð· Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¼ÐµÑ Ð°Ð½Ð¸ÐºÐ¸ ÑÐ°Ð·ÑÑÑÐµÐ½Ð¸Ñ Ð¿ÑÐ¸ ÑÐµÑÐ¼Ð¾Ð¼ÐµÑ Ð°Ð½Ð¸ÑÐµÑÐºÐ¸Ñ Ð½Ð°Ð³ÑÑÐ·ÐºÐ°Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Analysis of fracture mechanics parameters under thermomechanical loads
Creators: name: ÐÐ¾ÑÐ´ÐµÐµÐ², ÐÐ»ÐµÐºÑÐ°Ð½Ð´Ñ
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: 2021
Subjects: Ð¼ÐµÑ Ð°Ð½Ð¸ÐºÐ° ÑÐ°Ð·ÑÑÑÐµÐ½Ð¸Ð¹
ÑÑÐµÑÐ¸Ð½Ð°
ÑÐµÑÐ¼Ð¾Ð¼ÐµÑ Ð°Ð½Ð¸ÑÐµÑÐºÐ¾Ðµ Ð¿Ð¾Ð»Ðµ
j Ð¸Ð½ÑÐµÐ³ÑÐ°Ð»
Ð²ÑÐ±Ð¾Ñ ÐºÐ¾Ð½ÑÑÑÐ° Ð¸Ð½ÑÐµÐ³ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ
Ð¸Ð½Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ½Ð¾ÑÑÑ
ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ
Ð²ÑÑÑÐ¾ÐµÐ½Ð½ÑÐµ ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ
xfem
fracture mechanics
crack
thermomechanical field
j integral
integration contour selection
invariance
numerical methods
integrated numerical methods

description: Ð ÑÐ°Ð¼ÐºÐ°Ñ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¾ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¼ÐµÑÐ°Ð½Ð¸ÐºÐ¸ ÑÐ°Ð·ÑÑÑÐµÐ½Ð¸Ñ Ð´Ð»Ñ ÑÐµÐ», Ð½Ð°ÑÐ¾Ð´ÑÑÐ¸ÑÑÑ Ð² ÑÐµÑÐ¼Ð¾Ð¼ÐµÑÐ°Ð½Ð¸ÑÐµÑÐºÐ¾Ð¼ Ð¿Ð¾Ð»Ðµ. ÐÐ° Ð¿ÑÐ¸Ð¼ÐµÑÐµ Ð·Ð°Ð´Ð°ÑÐ¸ ÐÐ¸Ð»ÑÐ¾Ð½Ð° (Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½Ð°Ñ ÑÐ¿ÑÑÐ³Ð°Ñ Ð¶ÐµÑÑÐºÐ¾Ð·Ð°ÐºÑÐµÐ¿Ð»ÐµÐ½Ð½Ð°Ñ Ð½Ð° ÑÐ¾ÑÑÐ°Ñ Ð¿Ð»Ð°ÑÑÐ¸Ð½Ð° Ñ ÑÑÐµÑÐ¸Ð½Ð¾Ð¹, Ð½Ð°ÑÐ¾Ð´ÑÑÐ°ÑÑÑ Ð² Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¼ Ð¿Ð¾Ð»Ðµ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑ) Ð±ÑÐ»Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð´Ð²ÑÑ Ð²ÑÑÑÐ¾ÐµÐ½Ð½ÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² (Ð¼ÐµÑÐ¾Ð´ XFEM Ð¸ Ð½ÐµÐ¿Ð¾ÑÑÐµÐ´ÑÑÐ²ÐµÐ½Ð½Ð¾Ðµ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²ÑÑÑÐ¾ÐµÐ½Ð½Ð¾Ð¹ ÑÑÐ½ÐºÑÐ¸Ð¸ CINT), ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½ÑÑ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¼ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐµ ANSYS, Ð° ÑÐ°ÐºÐ¶Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°ÑÐµÐ»ÑÑÐºÐ¾Ð³Ð¾ Ð¼Ð°ÐºÑÐ¾ÑÐ°. ÐÐ»Ñ Ð¿Ð¾ÑÐ»ÐµÐ´Ð½ÐµÐ³Ð¾, Ð±ÑÐ» Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· ÐºÐ°Ð¶Ð´Ð¾Ð³Ð¾ Ð¸Ð· ÑÐ»Ð°Ð³Ð°ÐµÐ¼ÑÑ, Ð²ÑÐ¾Ð´ÑÑÐ¸Ñ Ð² ÑÐ¾ÑÐ¼ÑÐ»Ñ J Ð¸Ð½ÑÐµÐ³ÑÐ°Ð»Ð° Ð´Ð»Ñ ÑÐµÑÐ¼Ð¾Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ»ÑÑÐ°Ñ. ÐÐ»Ñ ÐºÐ°Ð¶Ð´Ð¾Ð³Ð¾ Ð¸Ð· Ð¸ÑÑÐ»ÐµÐ´ÑÐµÐ¼ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð±ÑÐ»Ð° Ð¿ÑÐ¾Ð´ÐµÐ¼Ð¾Ð½ÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð° Ð¸Ð½Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ½Ð¾ÑÑÑ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹ J Ð¸Ð½ÑÐµÐ³ÑÐ°Ð»Ð° Ð¾Ñ ÐºÐ¾Ð½ÑÑÑÐ° Ð¸Ð½ÑÐµÐ³ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. ÐÐ»Ñ ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ Ð²ÑÐ²Ð¾Ð´Ð¾Ð² Ð¾ Ð¿ÑÐµÐ¸Ð¼ÑÑÐµÑÑÐ²Ð°Ñ Ð¸ Ð½ÐµÐ´Ð¾ÑÑÐ°ÑÐºÐ°Ñ ÐºÐ°Ð¶Ð´Ð¾Ð³Ð¾ Ð¸Ð· Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð·Ð°Ð´Ð°ÑÐ¸ ÐÐ¸Ð»ÑÐ¾Ð½Ð°, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑÑÐ¸Ðµ ÑÑÐ½ÐºÑÐ¸Ð¸ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð³Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑ. ÐÐ¾ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼ Ð´Ð°Ð½Ð½ÑÑ Ð·Ð°Ð´Ð°Ñ Ð±ÑÐ» ÑÐ´ÐµÐ»Ð°Ð½ Ð²ÑÐ²Ð¾Ð´ Ð¾ Ð¿ÑÐµÐ´Ð¿Ð¾ÑÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸ Ð¼ÐµÑÐ¾Ð´Ð° Ð½ÐµÐ¿Ð¾ÑÑÐµÐ´ÑÑÐ²ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²ÑÑÑÐ¾ÐµÐ½Ð½Ð¾Ð¹ ÑÑÐ½ÐºÑÐ¸Ð¸ CINT Ð´Ð»Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ J Ð¸Ð½ÑÐµÐ³ÑÐ°Ð»Ð° Ð² ÑÐ°Ð¼ÐºÐ°Ñ Ð·Ð°Ð´Ð°ÑÐ¸ ÐÐ¸Ð»ÑÐ¾Ð½Ð°, Ð° ÑÐ°ÐºÐ¶Ðµ ÐµÐµ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¹.
description: This paper presents a study of methods for determining the parameters of fracture mechanics for bodies located in a thermomechanical field. Using the example of the Wilson problem (an isotropic elastic rigid plate with a crack at the ends, located in a linear temperature field), the results of two built-in numerical methods (the XFEM method and the direct use of the built-in CINT function) implemented in the ANSYS software package, as well as solutions using the developed user-defined macro, were obtained. For the last one, the analysis of each of the terms included in the formula of the J integral for the thermally stressed case was carried out. Each of the studied methods demonstrated the invariance of the calculated values of the J integral of the integration contour To form final conclusions about the advantages and disadvantages of each of the methods, modifications of the Wilson problem using the functions of the nonlinear temperature distribution are considered. Based on the results of these problems, it was concluded that the method of direct use of the built-in CINT function for calculating the J integral in the framework of the Wilson problem, as well as its modifications, is preferable.