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Research Papers

Effects of Maxwell Stress on Interfacial Crack Between Two Dissimilar Piezoelectric Solids

[+] Author and Article Information
Yi-Ze Wang

School of Astronautics,
Harbin Institute of Technology,
P. O. Box 137,
Harbin 150001, China
e-mail: wangyize@126.com

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received July 6, 2014; final manuscript received July 21, 2014; accepted manuscript posted July 28, 2014; published online August 5, 2014. Assoc. Editor: Pradeep Sharma.

J. Appl. Mech 81(10), 101003 (Aug 05, 2014) (6 pages) Paper No: JAM-14-1294; doi: 10.1115/1.4028090 History: Received July 06, 2014; Revised July 21, 2014; Accepted July 28, 2014

In this study, the effects of the Maxwell stress on the interfacial crack between two dissimilar piezoelectric solids are investigated. With the Stroh form and Muskhelishvili theory, the explicit expressions of generalized stresses are presented and the closed forms of the stress and electric displacement intensity factors are derived. Results show that the generalized stress field has singularities and oscillatory properties near the crack tip and the Maxwell stress has influences on the fracture characteristics. For the piezoelectric composites with the Maxwell stress, the normalized stress intensity factor KI* can be changed by both the remote stress and electric load. Such phenomenon cannot be found for the piezoelectric system without the Maxwell stress. Furthermore, the electric displacement intensity factor is more sensitive to the electric load than that to the remote stress.

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Figures

Grahic Jump Location
Fig. 1

An interfacial crack between dissimilar piezoelectric solids with the dielectric constants κc for the crack and κ for the surrounding medium

Grahic Jump Location
Fig. 2

Relation between the normalized stress intensity factor (KI* = KI/100 × 106πa) and the electric load (D2∞) with the effects of the Maxwell stress

Grahic Jump Location
Fig. 3

Normalized stress intensity factor (KI* = KI/100 × 106πa) with different remote stresses (σ22∞) and electric loads (D2∞) for: (a) κ= κc= κ0, (b) κ= κc= 3 κ0, (c) κ= κc= 5 κ0, and (d) no Maxwell stress

Grahic Jump Location
Fig. 4

Normalized electric displacement intensity factor (KD* = KD/0.1πa) with different remote stresses (σ22∞) and electric loads (D2∞) for κ= κc= κ0

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