Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material
The concept of canonical axes of anisotropy of the material, in which the largest number of elements of the elastic compliance tensor is equal to zero, is introduced. A program of experiments that allows one to determine the type of an anisotropic material without finding all the components of the e...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2021-06-01
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| Series: | Учёные записки Казанского университета. Серия Физико-математические науки |
| Subjects: | |
| Online Access: | https://kpfu.ru/uz-eng-phm-2021-2-8.html |
| _version_ | 1797963148387418112 |
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| author | D.V. Khristich D.A. Sukhorukov M.Yu. Sokolova |
| author_facet | D.V. Khristich D.A. Sukhorukov M.Yu. Sokolova |
| author_sort | D.V. Khristich |
| collection | DOAJ |
| description | The concept of canonical axes of anisotropy of the material, in which the largest number of elements of the elastic compliance tensor is equal to zero, is introduced. A program of experiments that allows one to determine the type of an anisotropic material without finding all the components of the elastic compliance tensor in an arbitrary laboratory coordinate system and, simultaneously, to detect the position of the canonical axes of anisotropy in the material is developed. A program of mechanical experiments is proposed to identify the type of initial elastic anisotropy of a material based on the results of experiments in the canonical axes of anisotropy for the case when they coincide with the axes of the laboratory coordinate system. Computer numerical simulation of the experiments is performed. The influence of experimental measurement errors on the identification results is investigated. It is shown that the developed criteria for identifying the type of material are applicable in the presence of measurement errors. |
| first_indexed | 2024-04-11T01:23:45Z |
| format | Article |
| id | doaj.art-5559880ae8684e9ea8929577d6a24011 |
| institution | Directory Open Access Journal |
| issn | 2541-7746 2500-2198 |
| language | English |
| last_indexed | 2024-04-11T01:23:45Z |
| publishDate | 2021-06-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета. Серия Физико-математические науки |
| spelling | doaj.art-5559880ae8684e9ea8929577d6a240112023-01-03T10:44:01ZengKazan Federal UniversityУчёные записки Казанского университета. Серия Физико-математические науки2541-77462500-21982021-06-01163221422510.26907/2541-7746.2021.2.214-225Numerical simulation of experiments on determining the type of initial anisotropy of an elastic materialD.V. Khristich0D.A. Sukhorukov1M.Yu. Sokolova2Tula State University, Tula, 300012 RussiaTula State University, Tula, 300012 RussiaTula State University, Tula, 300012 RussiaThe concept of canonical axes of anisotropy of the material, in which the largest number of elements of the elastic compliance tensor is equal to zero, is introduced. A program of experiments that allows one to determine the type of an anisotropic material without finding all the components of the elastic compliance tensor in an arbitrary laboratory coordinate system and, simultaneously, to detect the position of the canonical axes of anisotropy in the material is developed. A program of mechanical experiments is proposed to identify the type of initial elastic anisotropy of a material based on the results of experiments in the canonical axes of anisotropy for the case when they coincide with the axes of the laboratory coordinate system. Computer numerical simulation of the experiments is performed. The influence of experimental measurement errors on the identification results is investigated. It is shown that the developed criteria for identifying the type of material are applicable in the presence of measurement errors.https://kpfu.ru/uz-eng-phm-2021-2-8.htmlanisotropic materialselastic propertiesidentificationprogram of experiments |
| spellingShingle | D.V. Khristich D.A. Sukhorukov M.Yu. Sokolova Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material Учёные записки Казанского университета. Серия Физико-математические науки anisotropic materials elastic properties identification program of experiments |
| title | Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material |
| title_full | Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material |
| title_fullStr | Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material |
| title_full_unstemmed | Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material |
| title_short | Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material |
| title_sort | numerical simulation of experiments on determining the type of initial anisotropy of an elastic material |
| topic | anisotropic materials elastic properties identification program of experiments |
| url | https://kpfu.ru/uz-eng-phm-2021-2-8.html |
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