NDLI: Electroelastic fields and effective moduli of a medium containing cavities or rigid inclusions of arbitrary shape under anti-plane mechanical and in-plane electric fields

Content Provider	Springer Nature Link
Author	Chen, T. Chiang, S. C.
Copyright Year	1997
Abstract	We examine the two-dimensional problem of an infinite piezoelectric medium containing a solitary cavity or rigid inclusion of arbitrary shape, subjected to a coupled anti-plane mechanical and in-plane electric load at the remote boundary of the matrix. Conformal mapping techniques are employed to analyze the boundary value problems. Specific results are given for elliptical, polygonal and star-shape inclusions. Local fields of this type are used to estimate the overall moduli of a medium containing voids or rigid inclusions. This is accomplished with the help of an extension of Eshelby's formula which evaluates the total electric enthalpy by a particular line integral. Explicit estimates of the effective moduli are derived for dilute as well as for moderate area fractions of inclusions. The formulae depend solely on the cross area of the inclusion, area fraction and one particular coefficient of the mapping function. In addition, the stress and electric displacement singularities around the sharp corners of the inclusion are examined. The existence of uniform fields inside the inclusion is also envisaged. The present results, with appropriate modifications, apply equally well to those of thermoelectric and magnetoelectric effects.
Starting Page	79
Ending Page	96
Page Count	18
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	121
Issue Number	1-4
e-ISSN	16196937
Language	English
Publisher	Springer-Verlag
Publisher Date	1997-01-01
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Numerical and Computational Methods in Engineering Continuum Mechanics and Mechanics of Materials Structural Mechanics Vibration, Dynamical Systems, Control Engineering Fluid Dynamics Engineering Thermodynamics, Transport Phenomena
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Size-dependent effective electroelastic moduli of piezoelectric nanocomposites with interface effect

Propagation of straight-crested waves in an electroelastic plate under biasing fields

Universal relations for nonlinear electroelastic solids

Uniform strain fields inside periodic inclusions incorporating interface effects in anti-plane shear

The effective electroelastic property of cracked piezoelectric media

Effective electroelastic properties of polycrystalline ferroelectric ceramics predicted by a statistical model

Effect of inclusion shape on the effective elastic moduli for composites with imperfect interface

The effective properties of piezocomposites, part II: The effective electroelastic moduli

Two circular inclusions with inhomogeneous interfaces interacting with a circular Eshelby inclusion in anti-plane shear

Electroelastic fields and effective moduli of a medium containing cavities or rigid inclusions of arbitrary shape under anti-plane mechanical and in-plane electric fields

Similar Documents

Size-dependent effective electroelastic moduli of piezoelectric nanocomposites with interface effect

Propagation of straight-crested waves in an electroelastic plate under biasing fields

Universal relations for nonlinear electroelastic solids

Uniform strain fields inside periodic inclusions incorporating interface effects in anti-plane shear

The effective electroelastic property of cracked piezoelectric media

Effective electroelastic properties of polycrystalline ferroelectric ceramics predicted by a statistical model

Effect of inclusion shape on the effective elastic moduli for composites with imperfect interface

The effective properties of piezocomposites, part II: The effective electroelastic moduli

Two circular inclusions with inhomogeneous interfaces interacting with a circular Eshelby inclusion in anti-plane shear

Electroelastic fields and effective moduli of a medium containing cavities or rigid inclusions of arbitrary shape under anti-plane mechanical and in-plane electric fields