title: ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð² Ð¿ÑÐ¸ Ð²ÑÑÐ¾ÐºÐ¾ÑÐºÐ¾ÑÐ¾ÑÑÐ½Ð¾Ð¼ Ð²Ð½ÐµÑÐ½ÐµÐ¼ Ð¼ÐµÑ Ð°Ð½Ð¸ÑÐµÑÐºÐ¾Ð¼ Ð²Ð¾Ð·Ð´ÐµÐ¹ÑÑÐ²Ð¸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: Modeling the behavior of materials under high-speed external mechanical impact
Creators: name: Ð¡ÐµÐ¼ÐµÐ½Ð¾Ð², ÐÐ½Ð´ÑÐµÐ¹
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: 2020
Subjects: ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð¼ÐµÑÐ¾Ð´ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð²
Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°
ÑÐ»Ð°ÑÑÐ¾Ð¼ÐµÑ
Ð³Ð¸Ð¿ÐµÑÑÐ¿ÑÑÐ³Ð¾ÑÑÑ
Ð²ÑÐ·ÐºÐ¾ÑÑÑ
numerical modeling
finite element method
material model
elastomer
hyperelasticity
viscosity

description: Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ â Ð°Ð´Ð°Ð¿ÑÐ°ÑÐ¸Ñ ÑÐ¸Ð¿Ð¸ÑÐ½ÑÑ Ð´Ð»Ñ Ð³Ð¸Ð¿ÐµÑÑÐ¿ÑÑÐ³Ð¸Ñ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð² ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð´Ð»Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¼ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐµ LS-Dyna Ð¿ÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ð¸ Ð·Ð°Ð´Ð°Ñ Ñ Ð²ÑÑÐ¾ÐºÐ¾ÑÐºÐ¾ÑÐ¾ÑÑÐ½ÑÐ¼ Ð¼ÐµÑÐ°Ð½Ð¸ÑÐµÑÐºÐ¸Ð¼ Ð²Ð¾Ð·Ð´ÐµÐ¹ÑÑÐ²Ð¸ÐµÐ¼ Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÑÐµ Ð¿Ð¾Ð»Ð¸ÑÑÐµÑÐ°Ð½Ð° Ð¡ÐÐ£-ÐÐ¤Ð-100. ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð°Ð½Ð°Ð»Ð¸Ð·Ñ Ð¸ Ð²ÑÐ±Ð¾ÑÑ ÑÐ¿Ð¾ÑÐ¾Ð±Ð° ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð²ÑÐ·ÐºÐ¸Ñ Ð³Ð¸Ð¿ÐµÑÑÐ¿ÑÑÐ³Ð¸Ñ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð² Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¼ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐµ LS-Dyna Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð²ÑÑÐ¾ÐºÐ¾ÑÐºÐ¾ÑÐ¾ÑÑÐ½ÑÑ Ð·Ð°Ð´Ð°Ñ. Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð³Ð¸Ð¿ÐµÑÑÐ¿ÑÑÐ³Ð¸Ñ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð², ÑÐ°ÐºÐ¸Ðµ ÐºÐ°Ðº Ð¼Ð¾Ð´ÐµÐ»Ñ ÐÑÐ½Ð¸-Ð Ð¸Ð²Ð»Ð¸Ð½Ð° Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ñ ÐÐ³Ð´ÐµÐ½Ð°. Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð° Ð²ÑÐ·ÐºÐ¾ÑÐ¿ÑÑÐ³Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ, Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½Ð°Ñ Ð½Ð° ÑÑÐ´Ð°Ñ ÐÑÐ¾Ð½Ð¸, Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ð½Ð°Ñ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¼ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐµ LS-Dyna. ÐÐ¾Ð»ÑÑÐµÐ½Ñ Ð²ÑÐ·ÐºÐ¾ÑÐ¿ÑÑÐ³Ð¸Ðµ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÑ Ð¿ÑÑÐµÐ¼ Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸Ð¸ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð½Ð°Ð¸Ð¼ÐµÐ½ÑÑÐ¸Ñ ÐºÐ²Ð°Ð´ÑÐ°ÑÐ¾Ð². ÐÑÐ»Ð¸ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð³Ð¸Ð¿ÐµÑÑÐ¿ÑÑÐ³Ð¸Ñ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð², ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½ÑÐµ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¼ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐµ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° LS-Dyna, Ð¸ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐ¸Ðµ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸ÑÑ Ð°Ð½Ð°Ð»Ð¸Ð· Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾-Ð´ÐµÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ Ñ ÑÑÐµÑÐ¾Ð¼ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð¾Ñ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸. ÐÐ¿Ð¸ÑÐ°Ð½ Ð¿ÑÐ¾ÑÐµÑÑ Ð°Ð´Ð°Ð¿ÑÐ°ÑÐ¸Ð¸ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð´Ð»Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð² Ð¼Ð¾Ð´ÐµÐ»ÑÑ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð² MAT_077_OGDEN_RUBBER Ð¸ MAT_181 _SIMPLIFIED_RUBBER. ÐÐ»Ñ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð° MAT_181_SIMPLIFIED_RUBBER Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ð° ÑÑÐµÐ¼Ð° Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¸Ñ ÑÐµÐ¼ÐµÐ¹ÑÑÐ²Ð° ÐºÑÐ¸Ð²ÑÑ Ð´ÐµÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð´Ð»Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐºÐ¾ÑÐ¾ÑÑÐµÐ¹ Ð´Ðµ-ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ð¿ÑÑÐµÐ¼ Ð´Ð¾Ð±Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ðº Ð¸ÑÑÐ¾Ð´Ð½ÑÐ¼ Ð´Ð°Ð½Ð½ÑÐ¼ ÑÑÐ½ÐºÑÐ¸Ð¸-Ð¼Ð½Ð¾Ð¶Ð¸ÑÐµÐ»Ñ, Ð·Ð°Ð²Ð¸ÑÑÑÐµÐ³Ð¾ Ð¾Ñ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð´Ð»Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ MAT_077_OGDEN_RUBBER Ð¸ MAT_181 _SIMPLIFIED_RUBBER. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð²ÑÐ±ÑÐ°Ð½Ð° Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð° MAT_077_OGDEN_RUBBER, ÐºÐ°Ðº Ð±Ð¾Ð»ÐµÐµ Ð¿Ð¾Ð´ÑÐ¾Ð´ÑÑÐ°Ñ Ð´Ð»Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ. Ð Ð·Ð°ÐºÐ»ÑÑÐ¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ°ÑÑÐ¸ Ð±ÑÐ»Ð¾ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð°Ð¼Ð¾ÑÑÐ¸Ð·Ð°ÑÐ¸Ð¾Ð½Ð½ÑÑ ÑÐ²Ð¾Ð¹ÑÑÐ² Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð²ÑÐ·ÐºÐ¾ÑÐ¿ÑÑÐ³Ð¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð² Ð¸ Ð±ÐµÐ· Ð¸Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð² Ð·Ð°Ð´Ð°ÑÐµ Ñ Ð¿ÑÐ¸Ð»Ð¾Ð¶ÐµÐ½Ð½Ð¾Ð¹ Ð²Ð·ÑÑÐ²Ð½Ð¾Ð¹ Ð½Ð°Ð³ÑÑÐ·ÐºÐ¾Ð¹.
description: The purpose of the work is the adaptation of experimental data typical of hyperalastic materials for use in the LS-Dyna software package for solving prob-lems with high-speed impact using the SKU-PFL-100 polyurethane as an example. This work is devoted to the analysis and selection of the method of numerical modeling of viscous hyperelastic materials in LS-Dyna software complex for solving high-speed velocity problems. The properties of hyperelastic materials differ significantly at different rates of strains of mechanical action on the structure. Theoretical models of hyperelastic materials, such as the Mooney-Rivlin model and the Ogden model, are considered. A viscoelastic model based on Proni series proposed in the LS-Dyna soft-ware complex is considered. Viscoelastic coefficients are obtained by least squares approximation. The main models of hyperelastic materials implemented in the LS-Dyna numerical analysis software complex and allowing for stress-strain state analysis considering the dependence on strain rate were considered. The process of adap-tation of experimental data for use in models of materials MAT_077_OGDEN_RUBBER and MAT_181 _SIMPLIFIED_RUBBER is described. For material MAT_181_SIMPLIFIED_RUBBER, a scheme is proposed for obtaining a family of stressstrain curves for different strain rates by adding a multiplier function depending on the strain rate to the initial data. The results for models MAT_077_OGDEN_RUBBER and MAT_181 _SIMPLIFIED_RUBBER were compared. As a result of the comparison, the most suitable model for future calculations was selected. In the final part, the damping properties of the models were compared using viscoelastic coefficients and without using them in the problem with the applied explosive load.