Homogeneous solutions of the electroelasticity equations for piezoceramic layers in R3

Bardzokas, DI; Filshtinskii, LA; Shramko, LV

dc.contributor.author	Bardzokas, DI	en
dc.contributor.author	Filshtinskii, LA	en
dc.contributor.author	Shramko, LV	en
dc.date.accessioned	2014-03-01T01:33:36Z
dc.date.available	2014-03-01T01:33:36Z
dc.date.issued	2010	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20480
dc.subject	Boundary Condition	en
dc.subject	Boundary Value Problem	en
dc.subject	Spectrum	en
dc.subject.classification	Mechanics	en
dc.subject.other	Bi-harmonic	en
dc.subject.other	Characteristic value	en
dc.subject.other	Elastic state	en
dc.subject.other	Electroelasticity	en
dc.subject.other	Elliptic cavities	en
dc.subject.other	Grounded electrodes	en
dc.subject.other	Homogeneous solutions	en
dc.subject.other	Mechanical boundaries	en
dc.subject.other	Piezoceramic cylinder	en
dc.subject.other	Piezoceramic layers	en
dc.subject.other	Spectrum problem	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Elastoplasticity	en
dc.title	Homogeneous solutions of the electroelasticity equations for piezoceramic layers in R3	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00707-009-0155-6	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00707-009-0155-6	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We present a procedure for the derivation of homogeneous solutions for piezoceramic layers within the framework of electroelasticity. The proposed approach simplifies considerably the Lurié (J Appl Math Mech 6:151-169, 1942) method. Two cases of mechanical boundary-conditions for piezoceramic layers are examined, namely, when the bases are (a) built in, and (b) free from the influence of forces. In both cases, the bases of the layer are assumed to be covered by grounded electrodes. It is shown that in the case of boundary conditions of the first type and for the symmetric, with respect to the mid-surface of the layer, electro-elastic state, the homogeneous solutions do not contain any biharmonic terms.We also calculate the distribution of the characteristic values of the corresponding spectrum problems for every given type of boundary conditions. The derived homogeneous solutions can be used for solving boundary-value problems for piezoceramic cylinders and layers within the framework of electroelasticity. We illustrate our approach through a practical example considering an oblique-symmetric boundary-value problem for layers which weaken due to a side to side elliptic cavity. © Springer-Verlag 2009.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/s00707-009-0155-6	en
dc.identifier.isi	ISI:000271024800003	en
dc.identifier.volume	209	en
dc.identifier.issue	1-2	en
dc.identifier.spage	27	en
dc.identifier.epage	41	en