FE SIMULATION OF STRUCTURES FROM NONHOMOGENEOUS MATERIALS WITH COMPLICATED PROPERTIES
Abstract
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.
Keywords
Supporting agencies: The research is done with the financial support from RFFI (grants 13-01-00196-а, 13-01-00943-а, 13-01-12006-а).
About the Authors
Pavel Arturovich Oganesyan
Don State Technical University.
Russian Federation
Russian Federation
Arkady Nikolayevich Solovyev
Don State Technical University
Russian Federation
Russian Federation
References
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Review
For citations:
Oganesyan P.A., Solovyev A.N. FE SIMULATION OF STRUCTURES FROM NONHOMOGENEOUS MATERIALS WITH COMPLICATED PROPERTIES. Vestnik of Don State Technical University. 2013;13(7-8):15-21. (In Russ.) https://doi.org/10.12737/2015
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