title: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÑÐ¾ÑÐµÑÑÐ° ÑÐ¾ÑÐµÑÐ½Ð¾Ð¹ ÑÐ²Ð°ÑÐºÐ¸ ÑÑÐµÐ½Ð¸ÐµÐ¼ Ñ Ð¿ÐµÑÐµÐ¼ÐµÑÐ¸Ð²Ð°Ð½Ð¸ÐµÐ¼
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: Mathematical modeling of friction spot stir welding
Creators: name: Ð£Ð¿Ð¾ÑÐ¾Ð², ÐÐ°Ð²ÐµÐ»
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: Ð°Ð¼Ð³5Ð¼
ÑÐ²Ð°ÑÐºÐ° ÑÑÐµÐ½Ð¸ÐµÐ¼ Ñ Ð¿ÐµÑÐµÐ¼ÐµÑÐ¸Ð²Ð°Ð½Ð¸ÐµÐ¼
ÑÐ¾ÑÐµÑÐ½Ð°Ñ ÑÐ²Ð°ÑÐºÐ° ÑÑÐµÐ½Ð¸ÐµÐ¼ Ñ Ð¿ÐµÑÐµÐ¼ÐµÑÐ¸Ð²Ð°Ð½Ð¸ÐµÐ¼
Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÐ¿
Ð¸Ð½ÑÑÑÑÐ¼ÐµÐ½Ñ Ð´Ð»Ñ ÑÑÐ¿
aa5056
friction stir welding
friction spot stri welding
numerical analysis of friction stir welding
friction stir welding tool

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ¸Ð·Ð¸ÐºÐ¸ Ð¿ÑÐ¾ÑÐµÑÑÐ° ÑÐ²Ð°ÑÐºÐ¸ ÑÑÐµÐ½Ð¸ÐµÐ¼ Ñ Ð¿ÐµÑÐµÐ¼ÐµÑÐ¸Ð²Ð°Ð½Ð¸ÐµÐ¼, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ° Ñ Ð¿Ð»Ð°ÑÑÐ¸Ð½Ð°Ð¼Ð¸ Ð¸Ð· ÑÐ¿Ð»Ð°Ð²Ð° ÐÐÐ³5Ð. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ¸Ð·Ð¸ÐºÐ¸ Ð¿ÑÐ¾ÑÐµÑÑÐ° ÑÐ²Ð°ÑÐºÐ¸ ÑÑÐµÐ½Ð¸ÐµÐ¼ Ñ Ð¿ÐµÑÐµÐ¼ÐµÑÐ¸Ð²Ð°Ð½Ð¸ÐµÐ¼. 2. ÐÐ±Ð·Ð¾Ñ ÑÐ¿Ð¾ÑÐ¾Ð±Ð¾Ð² Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ¾ÑÐµÑÑÐ° ÑÐ²Ð°ÑÐºÐ¸ ÑÑÐµÐ½Ð¸ÐµÐ¼ Ñ Ð¿ÐµÑÐµÐ¼ÐµÑÐ¸Ð²Ð°Ð½Ð¸ÐµÐ¼. 3. Ð¡Ð¾Ð·Ð´Ð°Ð½Ð¸Ðµ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð¸ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ ÑÐµÐ¿Ð»Ð¾Ð¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¾ÑÑÐ¸ Ð´Ð»Ñ Ð¿ÑÐ¾ÑÐµÑÑÐ° ÑÐ²Ð°ÑÐºÐ¸ ÑÑÐµÐ½Ð¸ÐµÐ¼ Ñ Ð¿ÐµÑÐµÐ¼ÐµÑÐ¸Ð²Ð°Ð½Ð¸ÐµÐ¼. ÐÑÐ»Ð¾ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ Ð¸Ð·ÑÑÐµÐ½Ð¸Ðµ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ¾Ð² Ð¿Ð¾ ÑÐ¸Ð·Ð¸ÐºÐµ Ð¿ÑÐ¾ÑÐµÑÑÐ° ÑÐ²Ð°ÑÐºÐ¸ ÑÑÐµÐ½Ð¸ÐµÐ¼ Ñ Ð¿ÐµÑÐµÐ¼ÐµÑÐ¸Ð²Ð°Ð½Ð¸ÐµÐ¼, Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ Ð±ÑÐ»Ð¸ Ð¿Ð¾Ð´ÑÐ¾Ð±Ð½Ð¾ Ð¾Ð¿Ð¸ÑÐ°Ð½Ñ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ Ð°ÑÐ¿ÐµÐºÑÑ Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾ÑÐµÑÑÐ°, Ð² ÑÐ¾Ð¼ ÑÐ¸ÑÐ»Ðµ: Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ Ð¸ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»ÑÐ½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð², Ð¿ÑÐ¾ÑÐµÑÑÑ ÑÐµÐ¿Ð»Ð¾Ð²ÑÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¿ÐµÑÐµÐ´Ð°ÑÐ¸, Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸ Ð¸Ð½ÑÑÑÑÐ¼ÐµÐ½ÑÐ°. Ð¢Ð°ÐºÐ¶Ðµ Ð±ÑÐ» Ð¿ÑÐ¾Ð²ÐµÐ´ÑÐ½ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ð¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¿ÑÐ¾ÑÐµÑÑÐ° ÑÐ¾ÑÐµÑÐ½Ð¾Ð¹ ÑÐ²Ð°ÑÐºÐ¸ ÑÑÐµÐ½Ð¸ÐµÐ¼ Ñ Ð¿ÐµÑÐµÐ¼ÐµÑÐ¸Ð²Ð°Ð½Ð¸ÐµÐ¼ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ COMSOL Multiphysics Ð¸ ANSYS Fluent Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð°Ð½Ð°Ð»Ð¸Ð·Ð¾Ð² Ð±ÑÐ» Ð½Ð°Ð¹Ð´ÐµÑ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÐ¹ ÑÐµÐ¶Ð¸Ð¼ ÑÐ²Ð°ÑÐºÐ¸, Ð¿ÑÐ¸ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¼ Ð¸Ð·Ð½Ð¾Ñ Ð¸Ð½ÑÑÑÑÐ¼ÐµÐ½ÑÐ° Ð¸ ÑÐ½ÐµÑÐ³Ð¾Ð¿Ð¾ÑÑÐµÐ±Ð»ÐµÐ½Ð¸Ðµ Ð¼Ð¸Ð½Ð¸Ð¼Ð°Ð»ÑÐ½Ñ Ð¿ÑÐ¸ Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð¾Ð¹ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐµ. Ð¢Ð°ÐºÐ¶Ðµ Ð±ÑÐ»Ð° Ð¿Ð¾Ð»ÑÑÐµÐ½Ð° ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ° Ð² Ð·Ð¾Ð½Ðµ Ð¿ÐµÑÐµÐ¼ÐµÑÐ¸Ð²Ð°Ð½Ð¸Ñ, Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð¼Ð¾Ð¶Ð½Ð¾ Ð´ÐµÐ»Ð°ÑÑ Ð²ÑÐ²Ð¾Ð´Ñ Ð¾ ÑÑÑÑÐºÑÑÑÐµ Ð¸ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð°Ñ ÐºÐ¾Ð½ÐµÑÐ½Ð¾Ð³Ð¾ ÑÐ²Ð°ÑÐ½Ð¾Ð³Ð¾ ÑÐ²Ð°.
description: The given work is devoted to study of the physics of the friction stir welding process, as well as the mathematical modeling of this process based on the experiment with plates made of AA5056. The research set the following goals: 1. Study of the physics of the friction stir welding process. 2. Review of methods for mathematical modeling of the friction stir welding. 3. Creation of mathematical models of stationary and non-stationary thermal conductivity for the friction stir welding. Sources on the physics of the friction stir welding process were studied, on the basis of which the main aspects of this process were described in detail, including: the behavior and influence of material flows, the processes of heat generation and heat transfer, the influence of the tool design. Also, a mathematical analysis of the process of friction stir spot welding was carried out using the COMSOL Multiphysics Ð¸ ANSYS Fluent software. As a result of the analyzes, the optimal welding mode was found, in which tool wear and energy consumption are minimal at the required temperature. The temperature in the mixing zone was also obtained, on the basis of which conclusions can be drawn about the structure and properties of the final weld.