title: ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð±ÐµÑÑÐµÑÐ¾ÑÐ½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ° Ð¿Ð¾ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÐ¸Ð·Ð¸ÐºÐ¾-Ð¼ÐµÑ Ð°Ð½Ð¸ÑÐµÑÐºÐ¸Ñ Ñ Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°
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: Application of meshless methods for solving the problem of modeling an experiment to determine the physico-mechanical characteristics of a material
Creators: name: ÐÐ°ÑÐ½Ð¾Ð², ÐÐ³Ð½Ð°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: 2024
Subjects: ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½Ñ
ÑÐµÐ¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ
Ð¼ÐµÑÐ¾Ð´ Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð¹ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸
Ð±ÐµÑÑÐµÑÐ¾ÑÐ½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´ ÐÐ°Ð»ÐµÑÐºÐ¸Ð½Ð°
ÐÐ²Ð¸Ð¶ÑÑÐ¸Ð¹ÑÑ Ð¼ÐµÑÐ¾Ð´ Ð½Ð°Ð¸Ð¼ÐµÐ½ÑÑÐ¸Ñ ÐºÐ²Ð°Ð´ÑÐ°ÑÐ¾Ð²
Ð¿Ð¾Ð»Ðµ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ
ansys
ls-dyna
experiment
rheological model
differential evolution method
meshless Galerkin method (EFG)
moving least squares method (MLSM)
distribution field

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð±ÐµÑÑÐµÑÐ¾ÑÐ½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð´Ð»Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ° Ð¿Ð¾ Ð¾Ð´Ð½Ð¾Ð¾ÑÐ½Ð¾Ð¼Ñ ÑÐ¶Ð°ÑÐ¸Ñ. Ð ÑÐ°Ð¼ÐºÐ°Ñ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ» Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½Ñ, ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ Ð¿Ð¾ÑÐ»ÑÐ¶Ð¸Ð»Ð¸ Ð¾ÑÐ½Ð¾Ð²Ð¾Ð¹ Ð´Ð»Ñ Ð²ÐµÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð±ÐµÑÑÐµÑÐ¾ÑÐ½Ð¾Ð³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð° ÐÐ°Ð»ÐµÑÐºÐ¸Ð½Ð°. Ð Ð°Ð±Ð¾ÑÐ° Ð²ÐºÐ»ÑÑÐ°ÐµÑ Ð² ÑÐµÐ±Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ðµ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÐ¼Ð¾Ð³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð°. ÐÑÐ½Ð¾Ð²Ð½ÑÐµ ÑÐ°Ð³Ð¸ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð¸Ð·Ð»Ð¾Ð¶ÐµÐ½Ñ Ñ ÑÐºÐ°Ð·Ð°Ð½Ð¸ÐµÐ¼ ÑÑÑÐ»Ð¾Ðº Ð½Ð° Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÐ¼ÑÐµ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ¸ Ð´Ð»Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¸Ñ Ð¿Ð¾Ð»Ð½Ð¾Ð¹ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸. ÐÐ»Ñ Ð¿ÑÐµÐ´Ð²Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ Ð´ÐµÐ¼Ð¾Ð½ÑÑÑÐ°ÑÐ¸Ð¸ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐµÐ¹ Ð¸ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð±ÐµÑÑÐµÑÐ¾ÑÐ½Ð¾Ð³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð° ÐÐ°Ð»ÐµÑÐºÐ¸Ð½Ð° Ð±ÑÐ»Ð¸ ÑÐµÑÐµÐ½Ñ Ð´Ð²Ðµ ÐºÐ»Ð°ÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸ Ð² Ð´Ð²ÑÐ¼ÐµÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ, ÑÑÐ¾ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¾ Ð² Ð³Ð»Ð°Ð²Ðµ 3. ÐÐ°ÐºÐ»ÑÑÐ¸ÑÐµÐ»ÑÐ½Ð°Ñ Ð³Ð»Ð°Ð²Ð° Ð¸Ð»Ð»ÑÑÑÑÐ¸ÑÑÐµÑ ÑÐµÑÐµÐ½Ð¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐ° ANSYS/LS-DYNA. Ð¡ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ANSYS Ð¸ LS-PrePost Ð±ÑÐ»Ð¾ ÑÐ¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¾ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°, Ð¾Ð¿Ð¸ÑÐ°Ð½Ð½Ð¾Ð³Ð¾ Ð² Ð³Ð»Ð°Ð²Ðµ 1. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð²ÐºÐ»ÑÑÐ°ÑÑ Ð² ÑÐµÐ±Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐµÐ¹ Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ð¾Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ð´Ð»Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð±ÐµÑÑÐµÑÐ¾ÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð°.
description: This work is dedicated to the direct application of meshless methods for modeling an experiment on uniaxial compression. An experiment was conducted as part of this work, and its results served as the primary measure of quality for the numerical modeling performed using the meshless Galerkin method. The work also includes a mathematical description of the method used. The main steps of constructing the solution are outlined briefly, with references to the sources used for more detailed information. To preliminarily demonstrate the capabilities and effectiveness of the meshless Galerkin method, two classic problems in a two-dimensional setting were solved, as described in Chapter 3. The final chapter illustrates the solution of the problem using the ANSYS/LS-DYNA software package. The experiment described in Chapter 1 was modeled using ANSYS and LS-PrePost. The results include a comparison of the strain deformation versus time dependencies for the experimental data and those obtained through meshless analysis.