The Study Influence Analysis of the Mathematical Model Choice for Describing Polymer Behavior
The article considered the three types of description of the material behavior model: elastic, elastic–plastic, and viscoelastic. The problem is considered in the framework of deformable solid mechanics. The paper considers the possibility of describing modern polymeric and composite materials used...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Polymers |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-4360/15/17/3630 |
| _version_ | 1797581986639904768 |
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| author | Anna A. Kamenskikh Yuriy O. Nosov Anastasia P. Bogdanova |
| author_facet | Anna A. Kamenskikh Yuriy O. Nosov Anastasia P. Bogdanova |
| author_sort | Anna A. Kamenskikh |
| collection | DOAJ |
| description | The article considered the three types of description of the material behavior model: elastic, elastic–plastic, and viscoelastic. The problem is considered in the framework of deformable solid mechanics. The paper considers the possibility of describing modern polymeric and composite materials used as antifriction sliding layers in the viscoelasticity framework. A numerical procedure for finding the coefficients to describe the viscoelastic material behavior using the Prony model has been implemented. Numerical results and experimental data are compared. The model problem of spherical indenter penetration into polymer half-space is realized. The influence of the system discretization on the numerical solution is analyzed. The influence of the polymer behavior description in static and dynamic problem formulations is analyzed. |
| first_indexed | 2024-03-10T23:14:23Z |
| format | Article |
| id | doaj.art-6e26c806f97b47e893062799bf3ff739 |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-10T23:14:23Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-6e26c806f97b47e893062799bf3ff7392023-11-19T08:44:18ZengMDPI AGPolymers2073-43602023-09-011517363010.3390/polym15173630The Study Influence Analysis of the Mathematical Model Choice for Describing Polymer BehaviorAnna A. Kamenskikh0Yuriy O. Nosov1Anastasia P. Bogdanova2Department of Computational Mathematics, Mechanics and Biomechanics, Perm National Research Polytechnic University, 614990 Perm, RussiaDepartment of Computational Mathematics, Mechanics and Biomechanics, Perm National Research Polytechnic University, 614990 Perm, RussiaDepartment of Computational Mathematics, Mechanics and Biomechanics, Perm National Research Polytechnic University, 614990 Perm, RussiaThe article considered the three types of description of the material behavior model: elastic, elastic–plastic, and viscoelastic. The problem is considered in the framework of deformable solid mechanics. The paper considers the possibility of describing modern polymeric and composite materials used as antifriction sliding layers in the viscoelasticity framework. A numerical procedure for finding the coefficients to describe the viscoelastic material behavior using the Prony model has been implemented. Numerical results and experimental data are compared. The model problem of spherical indenter penetration into polymer half-space is realized. The influence of the system discretization on the numerical solution is analyzed. The influence of the polymer behavior description in static and dynamic problem formulations is analyzed.https://www.mdpi.com/2073-4360/15/17/3630Hertz contactelastic modelelastic–plastic modelviscoelastic modelpolymerdeformation behavior |
| spellingShingle | Anna A. Kamenskikh Yuriy O. Nosov Anastasia P. Bogdanova The Study Influence Analysis of the Mathematical Model Choice for Describing Polymer Behavior Polymers Hertz contact elastic model elastic–plastic model viscoelastic model polymer deformation behavior |
| title | The Study Influence Analysis of the Mathematical Model Choice for Describing Polymer Behavior |
| title_full | The Study Influence Analysis of the Mathematical Model Choice for Describing Polymer Behavior |
| title_fullStr | The Study Influence Analysis of the Mathematical Model Choice for Describing Polymer Behavior |
| title_full_unstemmed | The Study Influence Analysis of the Mathematical Model Choice for Describing Polymer Behavior |
| title_short | The Study Influence Analysis of the Mathematical Model Choice for Describing Polymer Behavior |
| title_sort | study influence analysis of the mathematical model choice for describing polymer behavior |
| topic | Hertz contact elastic model elastic–plastic model viscoelastic model polymer deformation behavior |
| url | https://www.mdpi.com/2073-4360/15/17/3630 |
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