A variational boundary element formulation for piezoelectricity
type: Item
instance of: scholarly article
title: A variational boundary element formulation for piezoelectricity
zbMATH Open document ID: 0843.73078
DOI: 10.1016/0093-6413(94)90024-8
author: Oskar Mahrenholtz
author: Pin Lü
published in: Mechanics Research Communications
publication date: 1995-05-14T00:00:00Z
review text: A new type of variational boundary element formulation is derived for linear static piezoelectricity based on a well-known in the literature modified hybrid variational principle. By a proper arrangement, the system of governing equations for piezoelectricity is expressed in terms of boundary displacements and electric potential. The results without any numerical applications are stated using the finite element method. This note which overlooks some pioneering works on the boundary element formulation in piezoelectricity [e.g., \textit{K. Tanaka} and \textit{M. Tanaka}, Z. Angew. Math. Phys. 31, 568-580 (1980; Zbl 0459.73076)] may be of some value to researchers dealing with numerical analysis of static linear piezoelectric problems.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74F15
zbMATH DE Number: 754963
zbMATH Keywords: modified hybrid variational principle
zbMATH Keywords: boundary displacements
zbMATH Keywords: electric potential
zbMATH Keywords: finite element method
reviewed by: M. Cengiz Dökmeci
MaRDI profile type: Publication
full work available at URL: 0093-6413(94)90024-8
OpenAlex ID: W1991609614
description: scientific article; zbMATH DE number 754963