Engineering Mechanics

International Conference

Proceedings Vol. 15 (2009)


May 11 – 14, 2009, Svratka, Czech Republic
Editors: Jiří Náprstek and Cyril Fischer

Copyright © 2009 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-86246-35-2 (printed, Extended Abstracts)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

Meshless local petrov-galerkin method for modeling of smart structures
J. Sladek, V. Sladek, P. Solek, Ch. Zhang
pages 1193 - 1208, full text

A meshless method based on the local Petrov-Galerkin approach is proposed, to solve boundary value problems of piezoelectric and magneto-electroelastic solids with continuously varying material properties. Stationary and transient dynamic 2-D problems are considered in this paper. The mechanical fields are described by the equations of motion with an inertial term. To eliminate the time-dependence in the governing partial differential equations the Laplacetransform technique is applied to the governing equations, which are satisfied in the Laplace-transformed domain in a weak-form on small subdomains. Nodal points are spread on the analyzed domain, and each node is surrounded by a small circle for simplicity. The spatial variation of the displacements as well as the electric and magnetic potentials are approximated by the Moving LeastSquares (MLS) scheme. After performing the spatial integrations, one obtains a system of linear algebraic equations for nodal unknowns.

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