Fracture of piezoelectromagnetic materials

Bao Lin Wang; Yiu Wing Mai

doi:10.1016/j.mechrescom.2003.08.002

Fracture of piezoelectromagnetic materials

Bao Lin Wang, Yiu Wing Mai

Research output: Journal article publication › Journal article › Academic research › peer-review

158 Citations (Scopus)

Abstract

The crack problem in a medium possessing coupled piezoelectric, piezomagnetic and magnetoelectric effects is considered. A conservative integral is derived based on the governing equations for magnetoelectroelastic media. Closed-form solution is obtained for an anti-plane crack in an infinite medium. The conservative integral is used to obtain the path-independent integral near the crack tip. Expressions for stresses, electric displacements and magnetic inductions in the vicinity of a crack tip are derived. It is found that the path-independent integral around the crack tip equals the energy release rate. In the absence of applied mechanical loads, the energy release rate is always negative.

Original language	English
Pages (from-to)	65-73
Number of pages	9
Journal	Mechanics Research Communications
Volume	31
Issue number	1
DOIs	https://doi.org/10.1016/j.mechrescom.2003.08.002
Publication status	Published - 2004
Externally published	Yes

Keywords

Crack
Fracture mechanics
Magnetoelectroelastic
Piezoelectric
Piezomagnetic

ASJC Scopus subject areas

Civil and Structural Engineering
General Materials Science
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

More information

10.1016/j.mechrescom.2003.08.002

Cite this

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AU - Wang, Bao Lin

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AB - The crack problem in a medium possessing coupled piezoelectric, piezomagnetic and magnetoelectric effects is considered. A conservative integral is derived based on the governing equations for magnetoelectroelastic media. Closed-form solution is obtained for an anti-plane crack in an infinite medium. The conservative integral is used to obtain the path-independent integral near the crack tip. Expressions for stresses, electric displacements and magnetic inductions in the vicinity of a crack tip are derived. It is found that the path-independent integral around the crack tip equals the energy release rate. In the absence of applied mechanical loads, the energy release rate is always negative.

KW - Crack

KW - Fracture mechanics

KW - Magnetoelectroelastic

KW - Piezoelectric

KW - Piezomagnetic

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VL - 31

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JO - Mechanics Research Communications

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IS - 1

ER -

Fracture of piezoelectromagnetic materials

Abstract

Keywords

ASJC Scopus subject areas

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