000003971 001__ 3971
000003971 005__ 20141118153340.0
000003971 04107 $$acze
000003971 046__ $$k2009-05-11
000003971 100__ $$aSladek, J.
000003971 24500 $$aMeshless local petrov-galerkin method for modeling of smart structures

000003971 24630 $$n15.$$pEngineering Mechanics 2009
000003971 260__ $$bInstitute of Theoretical and Applied Mechanics AS CR, v.v.i., Prague
000003971 506__ $$arestricted
000003971 520__ $$2eng$$aA 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.

000003971 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000003971 653__ $$a

000003971 7112_ $$aEngineering Mechanics 2009$$cSvratka (CZ)$$d2009-05-11 / 2009-05-14$$gEM2009
000003971 720__ $$aSladek, J.$$iZhang, Ch.$$iSolek, P.$$iSladek, V.
000003971 8560_ $$ffischerc@itam.cas.cz
000003971 8564_ $$s327966$$uhttps://invenio.itam.cas.cz/record/3971/files/Sladek-225-PT.pdf$$y
             Original version of the author's contribution as presented on CD, 225.
            
000003971 962__ $$r3852
000003971 980__ $$aPAPER