Crack arrest model for a piezoelectric strip subjected to Mode-I loadings

• Autorzy: Bhargava R. R. , Setia A.
• Języki publikacji: EN

Abstrakty

EN

Purpose: The present paper aims at proposing a crack arrest model for an infinitely long narrow, poled ceramic strip weakened by a finite hairline straight crack when the edges of the strip are subjected to combined mechanical and electrical loads. Design/methodology/approach: (Model) As a consequence of loads the rims of crack open forming a yield zone ahead of each tip of the crack. To arrest the crack from further opening the rims of the yield zones are subjected to normal cohesive quadratically varying yield point stress. Two cases are presented when edges of the strip are subjected to: Case-I-in-plane stresses and electrical displacement or Case-II-in-plane stresses and in-plane electric field. Problems are solved using Fourier integral transform method. Findings: The stress intensity factor, yield zone length, crack opening displacement, crack growth rate have been calculated. Their variation with respect to affecting parameters viz. yield zone length, width of the strip, material constant, electrical and mechanical loads has been depicted graphically. Research limitations/implications: The material of the strip is assumed mechanically brittle and electrically ductile consequently mechanically singularity is encountered first. The investigations in this paper are carried at this level. Also the crack yielding under the loads is considered small scale hence the yield zone is assumed to be lying on the line segment ahead of the crack. Practical implications: Piezoelectric ceramics are widely used as sensors and actuators, this necessity prompts the fracture study on such ceramics under difference loading conditions. Originality/value: The paper gives an assessment of the quadratically varying load required to be prescribed on yield zones so as to arrest the opening of the crack. The investigations are useful to smart material design technology where sensors and actuators are manufactured.

Słowa kluczowe

EN

smart materials; yield zone; crack opening displacement; crack growth rate

PL

materiały inteligentne; strefa plastyczności; krytyczne rozwarcie pęknięcia; tempo wzrostu pęknięć

• Wydawca: International OCSCO World Press
• Czasopismo: Journal of Achievements in Materials and Manufacturing Engineering
• Rocznik: 2007
• Tom: Vol. 22, nr 2
• Strony: 19--22
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Bhargava R. R.

autor

Setia A.

• Department of Mathematics, Indian Institute of Technology, Roorkee-247667, India,

Bibliografia

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