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Short communication: the generalized finite difference method for electroelastic analysis of 2D piezoelectric structures.(English)Zbl 1464.74365

Summary: Simulating the response of piezoelectric devices requires solving the coupled mechanical and electrical partial differential equations. This short communication documents the first attempt to apply the meshless generalized finite difference method (GFDM) for the electroelastic analysis of piezoelectric structures. In the present method, the entire computational domain is represented by a cloud of scattered nodes and the field variables are interpolated in terms of the values of nodes in its supporting domain based on the local Taylor series expansion and the moving least squares approximation. Emphasis is placed on the application of the GFDM to obtain the coupled elastic and electric fields. The present results agree pretty well with those of the exact solutions as well as the finite element method (FEM) calculated by using ABAQUS.

MSC:

74S20 Finite difference methods applied to problems in solid mechanics
65N06 Finite difference methods for boundary value problems involving PDEs
74F15 Electromagnetic effects in solid mechanics

Software:

ABAQUS

Cite

References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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