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FE SIMULATION OF STRUCTURES FROM NONHOMOGENEOUS MATERIALS WITH COMPLICATED PROPERTIES

https://doi.org/10.12737/2015

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.

About the Authors

Pavel Arturovich Oganesyan
Don State Technical University.
Russian Federation


Arkady Nikolayevich Solovyev
Don State Technical University
Russian Federation


References

1. Belokon, A. V., Skaliukh, A. S. Matematicheskoye modelirovaniye neobratimykh protsessov polyarizatsii. [Mathematical simulation of polarization irreversible processes.] Moscow : FIZMATLIT, 2010, 328 p. (in Russian).

2. Sladek, J., et al. Fracture analysis in continuously nonhomogeneous magneto-electro-elastic solids under a thermal load by the MLPG. International Journal of Solids and Structures, 2010, vol. 47, pp. 1381–1391.

3. Belokon, A. V., Nasedkin, A. V., Solovyev, A. N. Novyye skhemy konechnoelementnogo dinamicheskogo analiza pyezoelektricheskikh ustroystv. [New diagrams of finite-element dynamic analysis of piezoelectric devices.] Prikladnaya matematika i mekhanika, 2002, vol. 66, no. 3, pp. 491–501 (in Russian).

4. Ashkenazy, V. O. Splayn-poverkhnosti. Osnovy teorii i vychislitelnyye algoritmy. [Spline surfac-es. Theoretical framework and computational algorithms.] Tver : Tverskoy gosudarstvennyy universitet, 2003, 82 p. (in Russian).


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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