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...

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Main Authors: Pavel Arturovich Oganesyan, Arkady Nikolayevich Solovyev
Format: Article
Language:Russian
Published: Don State Technical University 2013-12-01
Series:Advanced Engineering Research
Subjects:
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.
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spelling doaj.art-6e329e9ead144a699ec9b4dbee1bc0282023-03-13T07:31:24ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532013-12-01137-8152110.12737/2015429FE SIMULATION OF STRUCTURES FROM NONHOMOGENEOUS MATERIALS WITH COMPLICATED PROPERTIESPavel Arturovich Oganesyan0Arkady Nikolayevich Solovyev1Донской государственный технический университет.Донской государственный технический университет.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.https://www.vestnik-donstu.ru/jour/article/view/436функционально неоднородные упругие и электроупругие материалысплайныметод конечных элементов.
spellingShingle Pavel Arturovich Oganesyan
Arkady Nikolayevich Solovyev
FE SIMULATION OF STRUCTURES FROM NONHOMOGENEOUS MATERIALS WITH COMPLICATED PROPERTIES
Advanced Engineering Research
функционально неоднородные упругие и электроупругие материалы
сплайны
метод конечных элементов.
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 функционально неоднородные упругие и электроупругие материалы
сплайны
метод конечных элементов.
url https://www.vestnik-donstu.ru/jour/article/view/436
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