About the Numerical Solution of the Equations of Piezoelectricity
In this paper, the numerical solution of piezoelectric problems by means of two discretization methods — the Finite Element Method (FEM) and the Boundary Element Method (BEM) — is described. At first, using the equations of elastostatics, the similarities and differences of the methods are explained and some of their advantages and disadvantages are pointed out. After this, the piezoelectric formulations of both methods are introduced. A numerical example serves to demonstrate the excellent agreement of the FEM and BEM results as well as to show the superiority of the BEM in the calculation of elastic stresses and the electric field.
KeywordsBoundary Element Boundary Element Method Finite Element Method Computation Piezoelectric Body Dual Reciprocity
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- Bathe, K.-J. (1996). Finite element procedures. New Jersey: Prentice-Hall.Google Scholar
- Gaul, L., and Fiedler, C. (1996). Boundary Element Methods in Statics and Dynamics (in German). Braunschweig: Verlag Vieweg.Google Scholar
- Kögl, M., and Gaul, L. (1999). Dual reciprocity boundary element method for three-dimensional problems of dynamic piezoelectricity. In Boundary Elements XXI, 537–548. Southampton: Computational Mechanics Publications.Google Scholar
- Kögl, M. (2000). A Boundary Element Method for Dynamic Analysis of Anisotropic Elastic, Piezoelectric, and Thermoelastic Solids. PhD thesis, Universität Stuttgart.Google Scholar
- Zienkiewicz, O. C., and Taylor, R. L. (1991). The finite element method, volume 2. London: McGraw-Hill, fourth edition.Google Scholar
- Zienkiewicz, O. C., and Taylor, R. L. (1994). The finite element method, volume 1. London: McGraw-Hill, fourth edition.Google Scholar