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Journal ArticleDOI

Plane problems in piezoelectric media with defects

Horacio Sosa
- 01 Jan 1991 - 
- Vol. 28, Iss: 4, pp 491-505
TLDR
In this article, a two-dimensional electroelastic analysis is performed on a transversely isotropic piezoelectric material containing defects, and a general solution is provided in terms of complex potentials, with emphasis being placed on stress concentrations that arise in the vicinity of circular and elliptical holes.
About
This article is published in International Journal of Solids and Structures.The article was published on 1991-01-01. It has received 386 citations till now. The article focuses on the topics: Transverse isotropy & Plane (geometry).

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Citations
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Journal ArticleDOI

A new electric boundary condition of electric fracture mechanics and its applications

TL;DR: In this paper, a new electric boundary condition was proposed, in which the electric permeability of air in a crack gap was considered, and an exact solution to this problem was given and some numerical results were obtained.
Journal ArticleDOI

Effect of electric field on fracture of piezoelectric ceramics

TL;DR: In this article, closed form solutions for all three modes of fracture for an infinite piezoelectric medium containing a center crack subjected to a combined mechanical and electrical loading were obtained.
Book ChapterDOI

Fracture of piezoelectric ceramics

TL;DR: In this article, the fracture behavior of piezoelectric ceramics under combined electrical and mechanical loading has been among the most prevalent research topics, and four types of nonlinear approaches considered are: electrostriction, domain switching, domain wall kinetics, and polarization saturation at a crack tip.
Journal ArticleDOI

On the fracture mechanics of piezoelectric solids

TL;DR: In this paper, a fracture mechanics analysis is developed within the realm of two-dimensional linear piezoelectricity, and asymptotic expressions for the electromechanical fields in the vicinity of the crack are deduced, and their behavior is illustrated through several examples.
Journal ArticleDOI

The effects of crack face boundary conditions on the fracture mechanics of piezoelectric solids

TL;DR: In this article, the effects of crack face boundary conditions on the fracture mechanics of piezoelectric solids are studied, and the results illustrate that the impermeable assumption can lead to significant errors regarding the effect of the electric fields on crack propagation based on an energy release rate criterion.
References
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Journal ArticleDOI

Crack Extension Force in a Piezoelectric Material

TL;DR: In this article, a closed-form solution to the antiplane fracture problem is obtained for an unbounded piezoelectric medium, along with a path-independent integral integral of fracture mechanics.
Journal ArticleDOI

Three-dimensional eigenfunction analysis of a crack in a piezoelectric material

TL;DR: In this paper, a 3D analysis of a semi-infinite crack embedded in a transversely isotropic piezoelectric material was performed by means of the eigenfunction expansions method.
Journal ArticleDOI

Electrostrictive stresses near crack-like flaws

TL;DR: In this paper, the effect of an elliptical through flaw in an infinite isotropic body is considered and the results are used to show that a flaw-like crack in a material with a very high dielectric constant can be treated by fracture mechanics as an impermeable slit crack when the flaw aspect ratio is an order of magnitude greater than the ratio of dielectrics permittivities.
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