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245 1 0 _aDynamic 3D axisymmetric problems in continuously non-homogeneous piezoelectric solids
490 0 _vInternational Journal of Solids and Structures, 45(16), p.4523-4542, 2008
520 3 _aThe meshless local Petrov-Galerkin (MLPG)method is used to analyze transient dynamic problems in 3D axisymmetric piezoelectric solids with continuously inhomogeneous material properties. Both mechanical and thermal loads are considered here. A 3D axisymmetric body is created by rotation of a cross section around an axis of symmetry. Axial symmetry of geometry and boundary conditions reduces the original 3D boundary value problem into a 2D problem. The cross section is covered by small circular sub-domains surrounding nodes randomly spread over the analyzed domain. A unit step function is chosen as test function, in order to derive local integral equations on the boundaries of the chosen sub-domains, called local boundary integral equations (LBIE). These integral formulations are either based on the Laplace transform technique or the time-difference approach. The local integral equations are non-singular and take a very simple form, despite of inhomogeneous and anisotropic material behaviour across the analyzed structure. Spatial variation of all physical fields (or of their Laplace transforms)at discrete time instants are approximated on the local boundary and in the interior of the sub-domain by means of the moving least-squares (MLS)method. The Stehfest algorithm is applied for the numerical Laplace inversion, in order to retrieve the time-dependent solutions.
650 1 4 _aTRANSIENT PROBLEMS
650 1 4 _aTHERMAL LOAD
650 1 4 _aANISOTROPIC FUNCTIONALLY GRADED MATERIALS
650 1 4 _aTIME-DIFFERENCE FORM
650 1 4 _aLAPLACE TRANSFORM
650 1 4 _aSTEHFEST ALGORITHM
650 1 4 _aMESHLESS APPROXIMATION
700 1 2 _aSladek, J.
700 1 2 _aSladek, V.
700 1 2 _aSolek, P.
700 1 2 _aSaez, A.
856 4 0 _uhttps://drive.google.com/file/d/1pfoPsjHQLEpU5Kpd4gvLcgp-J75MNDTv/view?usp=drivesdk
_zPara ver el documento ingresa a Google con tu cuenta: @cicy.edu.mx
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