title: Ð ÐµÑÐµÐ½Ð¸Ðµ Ð½ÐµÐºÐ¾ÑÐ¾ÑÑÑ Ð¿ÑÐ¸ÐºÐ»Ð°Ð´Ð½ÑÑ ÑÐµÑÐ¼Ð¾Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð·Ð°Ð´Ð°Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Solution of some applied thermo-deformation problems using the finite element method
Creators: name: ÐÑÑÐ·Ð½ÑÑ, ÐÐ¸ÐºÐ¸ÑÐ°
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: 2024
Subjects: Ð¼ÐµÑÐ¾Ð´ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð²
ÑÐ¸ÑÑÐ¾Ð²Ð¾Ð¹ Ð´Ð²Ð¾Ð¹Ð½Ð¸Ðº
deform
polygonsoft
ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½ÑÐ¹ Ð³ÑÐ°Ð´Ð¸ÐµÐ½Ñ
Ð¸Ð·Ð»Ð¾Ð¶Ð½Ð¸ÑÐ°
Ð¼Ð¾ÑÑÐ¸Ð½Ð°
finite element method
digital twin
polygonsoft temperature gradient
mold
wrinkle

description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð±ÑÐ»Ð¸ ÑÐ¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ñ ÑÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ðµ Ð¿ÑÐ¾ÑÐµÑÑÑ, ÑÐ²ÑÐ·Ð°Ð½Ð½ÑÐµ Ñ Ð²ÑÑÐ¾ÐºÐ¸Ð¼ Ð³ÑÐ°Ð´Ð¸ÐµÐ½ÑÐ¾Ð¼ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¼ÐµÑÐ¾Ð´Ð° ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð², Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ DEFORM Ð¸ PolygonSoft. Ð¦ÐµÐ»ÑÑ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐµÑÐ¼Ð¾Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð·Ð°Ð´Ð°Ñ, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑ Ð¼ÐµÑÐ¾Ð´Ñ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð². ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ: 1. ÐÑÐ¿Ð¾Ð»Ð½Ð¸ÑÑ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÑÐ¾ÑÑÐ¸Ñ Ð·Ð°Ð´Ð°Ñ Ð¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°ÑÑ ÐºÐ¾Ð½ÑÐµÐ¿ÑÐ¸Ñ ÐºÐ¾Ð½ÐµÑÐ½Ð¾ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ð¸ ÑÐµÑÐµÐ½Ð¸Ñ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´ÑÑÐ²ÐµÐ½Ð½ÑÑ Ð·Ð°Ð´Ð°Ñ 2. ÐÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°ÑÑ ÑÐµÑÐ½Ð¸ÑÐµÑÐºÑÑ Ð»Ð¸ÑÐµÑÐ°ÑÑÑÑ Ð¸ Ð¸Ð½ÑÐµÑÐ½ÐµÑ ÑÐµÑÑÑÑÑ Ð¿Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÑÐ¼Ð¾Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð·Ð°Ð´Ð°Ñ. 3. ÐÑÐµÐ½Ð¸ÑÑ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð½Ð¾Ð¹ ÐÐ°ÐºÐ°Ð·ÑÐ¸ÐºÐ¾Ð¼ Ð·Ð°Ð´Ð°ÑÐ¸ Ð² Ð´Ð¾ÑÑÑÐ¿Ð½ÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÑ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸ÑÑ Ð´Ð»Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. 4. Ð¡Ð¾Ð·Ð´Ð°ÑÑ ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½ÑÐµ Ð´Ð²Ð¾Ð¹Ð½Ð¸ÐºÐ¸ Ð¸ÑÑÐ»ÐµÐ´ÑÐµÐ¼ÑÑ Ð¾Ð±ÑÐµÐºÑÐ¾Ð². 5. Ð Ð°ÑÑÑÐ¸ÑÐ°ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾-Ð´ÐµÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ Ð¸Ð·Ð´ÐµÐ»Ð¸Ð¹ Ð¿ÑÐ¸ Ð½Ð°Ð»Ð¸ÑÐ¸Ð¸ Ð²ÑÑÐ¾ÐºÐ¸Ñ Ð³ÑÐ°Ð´Ð¸ÐµÐ½ÑÐ¾Ð² ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ. 6. ÐÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°ÑÑ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð¸ Ð¿Ð¾Ð´Ð³Ð¾ÑÐ¾Ð²Ð¸ÑÑ ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐ¸Ð¸ Ð´Ð»Ñ ÑÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ ÑÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ñ Ð¿ÑÐ¾Ð±Ð»ÐµÐ¼. Ð Ð°Ð±Ð¾ÑÐ° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð² Ð¡ÐÐ±ÐÐ£ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾, Ð³Ð´Ðµ Ð±ÑÐ»Ð¸ ÑÐ¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ñ Ð¿ÑÐ¾ÑÐµÑÑÑ Ð·Ð°Ð»Ð¸Ð²ÐºÐ¸ ÑÑÐ°Ð»Ð¸ Ð² Ð¸Ð·Ð»Ð¾Ð¶Ð½Ð¸ÑÑ, Ð° ÑÐ°ÐºÐ¶Ðµ Ð³Ð¾ÑÑÑÐµÐµ ÑÐ¸Ð½ÐºÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÑÐ±.
description: This work has modeled technological processes associated with high temperature gradients using the finite element method, using the DEFORM and PolygonSoft program. The aim of this work is to study and model practical thermo-deformation problems using finite element methods. The tasks that were solved in the course of solving the problems: 1. Perform an analysis of the standing tasks and develop a concept of the finite element formulation and solution of production problems. 2. Analyze technical literature and Internet resources on the modeling of thermo-deformation problems. 3. Assess the possibility of fulfilling the task set by the Customer in the available software for modeling. 4. Create computer twins of the studied objects. 5. Calculate the stress-strain state of products in the presence of high temperature gradients. 6. Analyze the obtained calculation results and prepare recommendations for eliminating technological problems. The work was carried out at the Peter the Great St. Petersburg Polytechnic University, where the processes of pouring steel into molds and hot-dip galvanizing of pipes were modeled.