FE SIMULATION OF STRUCTURES FROM NONHOMOGENEOUS MATERIALS WITH COMPLICATED PROPERTIES
Two finite element simulation algorithms for heterogeneous properties including the connectivity of mechanical and electrical fields are considered. In the first instance, heterogeneous mechanical and piezoelectric properties of the body are given in the form of analytical relationships in certain c...
Main Authors: | , |
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Format: | Article |
Language: | Russian |
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Don State Technical University
2013-12-01
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Series: | Advanced Engineering Research |
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Online Access: | https://www.vestnik-donstu.ru/jour/article/view/436 |
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author | Pavel Arturovich Oganesyan Arkady Nikolayevich Solovyev |
author_facet | Pavel Arturovich Oganesyan Arkady Nikolayevich Solovyev |
author_sort | Pavel Arturovich Oganesyan |
collection | DOAJ |
description | Two finite element simulation algorithms for heterogeneous properties including the connectivity of mechanical and electrical fields are considered. In the first instance, heterogeneous mechanical and piezoelectric properties of the body are given in the form of analytical relationships in certain classes of functions. The second method assumes that the functions describing the heterogeneous properties are known in a discrete set of points. The changes caused by inhomogeneous properties are taken into account under the calculation of the element matrices. For this, in the second case, the interpolation of heterogeneous properties within the body is implemented in two ways: using thin-plate splines, and J. Meinguet’s splines. The proposed algorithms are implemented as modules of the ACELAN finite element complex. Examples of using the developed software for the calculation of the stress strain state of inhomogeneous elastic and electroelastic bodies are presented. |
first_indexed | 2024-04-10T03:19:00Z |
format | Article |
id | doaj.art-6e329e9ead144a699ec9b4dbee1bc028 |
institution | Directory Open Access Journal |
issn | 2687-1653 |
language | Russian |
last_indexed | 2025-03-14T10:28:28Z |
publishDate | 2013-12-01 |
publisher | Don State Technical University |
record_format | Article |
series | Advanced Engineering Research |
spelling | doaj.art-6e329e9ead144a699ec9b4dbee1bc0282025-03-02T11:04:22ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532013-12-01137-8152110.12737/2015429FE SIMULATION OF STRUCTURES FROM NONHOMOGENEOUS MATERIALS WITH COMPLICATED PROPERTIESPavel Arturovich Oganesyan0Arkady Nikolayevich Solovyev1Don State Technical University.Don State Technical UniversityTwo finite element simulation algorithms for heterogeneous properties including the connectivity of mechanical and electrical fields are considered. In the first instance, heterogeneous mechanical and piezoelectric properties of the body are given in the form of analytical relationships in certain classes of functions. The second method assumes that the functions describing the heterogeneous properties are known in a discrete set of points. The changes caused by inhomogeneous properties are taken into account under the calculation of the element matrices. For this, in the second case, the interpolation of heterogeneous properties within the body is implemented in two ways: using thin-plate splines, and J. Meinguet’s splines. The proposed algorithms are implemented as modules of the ACELAN finite element complex. Examples of using the developed software for the calculation of the stress strain state of inhomogeneous elastic and electroelastic bodies are presented.https://www.vestnik-donstu.ru/jour/article/view/436functionally inhomogeneous elastic and electroelastic materialssplinesfinite-element method. |
spellingShingle | Pavel Arturovich Oganesyan Arkady Nikolayevich Solovyev FE SIMULATION OF STRUCTURES FROM NONHOMOGENEOUS MATERIALS WITH COMPLICATED PROPERTIES Advanced Engineering Research functionally inhomogeneous elastic and electroelastic materials splines finite-element method. |
title | FE SIMULATION OF STRUCTURES FROM NONHOMOGENEOUS MATERIALS WITH COMPLICATED PROPERTIES |
title_full | FE SIMULATION OF STRUCTURES FROM NONHOMOGENEOUS MATERIALS WITH COMPLICATED PROPERTIES |
title_fullStr | FE SIMULATION OF STRUCTURES FROM NONHOMOGENEOUS MATERIALS WITH COMPLICATED PROPERTIES |
title_full_unstemmed | FE SIMULATION OF STRUCTURES FROM NONHOMOGENEOUS MATERIALS WITH COMPLICATED PROPERTIES |
title_short | FE SIMULATION OF STRUCTURES FROM NONHOMOGENEOUS MATERIALS WITH COMPLICATED PROPERTIES |
title_sort | fe simulation of structures from nonhomogeneous materials with complicated properties |
topic | functionally inhomogeneous elastic and electroelastic materials splines finite-element method. |
url | https://www.vestnik-donstu.ru/jour/article/view/436 |
work_keys_str_mv | AT pavelarturovichoganesyan fesimulationofstructuresfromnonhomogeneousmaterialswithcomplicatedproperties AT arkadynikolayevichsolovyev fesimulationofstructuresfromnonhomogeneousmaterialswithcomplicatedproperties |