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Tytuł artykułu

Modified strip saturation model for a cracked piezoelectric strip

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Języki publikacji
PL
Abstrakty
EN
Purpose: The investigations aim to propose a model for arresting an electrical opening of a crack which weakens a narrow, poled and infinite piezoelectric strip. The edges of the strip are subjected to uniform, constant anti-plane stresses and in-plane electrical displacements. Design/methodology/approach: The loads applied at the edges of the strip open the crack in a self-similar fashion. Consequently at each tip of the crack a saturation zone protrudes. To stop the crack from further opening the rims of developed saturation zones are subjected to normal, cohesive linearly varying saturation limit electric displacement. The edges of the strip are subjected to anti-plane deformation and in-plane electrical displacement. Fourier integral transform method employed reduces the problem to the solution of a Fredholm integral equation of second kind. Findings: The electrical displacement, stress intensity factor, the saturation zone length, crack opening displacement and crack growth rate have been calculated. The results obtained presented graphically, analysed and concluded. Research limitations/implications: The ceramic used for strip is being assumed to be electrically more brittle. The investigations are carried at this level in the present paper. Also the small scale electrical yielding is considered. Consequently the developed saturation zone is proposed to lie in a line segment ahead of crack. Practical implications: Piezoelectric ceramics being widely used as transducers. Their wide utility has prompted to study many attires of such ceramic and one such attire is fracture mechanics of these ceramics. Originality/value: The paper gives an assessment of the electrical load necessary to arrest the electrical crack opening. The investigations are useful to smart material design technology where sensors and actuators are manufactured.
Rocznik
Strony
33--36
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
autor
Bibliografia
  • [1] Y. Shindo, K. Tanaka, F. Narita, Singular stress and electric fields of a piezoelectric ceramic strip with a finite crack under longitudinal shear, Acta Mechanica 120 (1997) 31-45.
  • [2] Z.-T. Chen, Crack tip field of an infinite piezoelectric strip under anti-plane impact, Mechanics Research Communications 25 (1998) 313-319.
  • [3] C.Q. Ru, Effect of electrical polarization saturation on stress intensity factors in a piezoelectric strip, International Journal of Solids and Structures 36 (1999) 869-883.
  • [4] V.M.A. Leitao, M.H. Aliabadi, Bounary element methods for the analysis of crack growth in non-linear fracture, International Journal of Materials and Product Technology 15 (2000) 104-116.
  • [5] D. Stevanovic, S. Kalyanasundaram, A. Lowe, P.-Y. Ben Jar, Numerical simulation of elastic-plastic interlaminar crack propagation in interlayer-toughened composite materials, International Journal of Materials and Product Technology 17 (2002) 99-107.
  • [6] X,-F. Li, G.J. Tang, Antiplane permeable edge cracks in a piezoelectric strip of finite width, International Journal of Fracture 115 (2002) L 35-40.
  • [7] S.M. Kwon, Electrical nonlinear anti-plane shear crack in a functionally graded piezoelectric strip, International Journal of Solids and Structures 40 (2003) 5649-5667.
  • [8] B.L. Wang, X.H. Zhang, A mode III crack in a functionally graded piezoelectric material strip, Transactions of the ASME, Journal of Applied Mechanics 71 (2004) 327-333.
  • [9] B.L. Wang, X.H. Zhang, Fracture prediction for piezoelectric ceramics based on the electric field saturation concept, Mechanics Research Communications 32 (2005) 411-419.
  • [10] R.-R. Bhargava, N. Saxena, Solution for a cracked piezoelectric plate subjected to variable load on plastic zones under mode-I deformation, Journal of Materials Processing Technology 164-165 (2005) 1495-1499.
  • [11] M.-J. Jackson, Micro-grinding electronic and optical materials using diamond-coated piezoelectric materials, International Journal of Manufacturing Technology and Management 9 (2006) 1-17.
  • [12] R.R. Bhargava, A. Setia, Crack arrest model for a piezoelectric strip subjected to Mode I loadings, Journal of Achievements in Materials and Manufacturing Engineering 20 (2007) 215-218.
  • [13] A.N. Sergey, G.K. Vladislav, B.R. Andrey, V.B. Alexander, A.B. Vladislav, Analysis of crack resistance and quality of thin coatings by Acoustic Emission, International Journal of Microstructure and Materials Properties 1 (2006) 364-373.
  • [14] J.-C. Lin, M.H. Nien, Adaptive modeling and shape control laminated plates using piezoelectric actuators, Journal of Materials Processing Technology 189 (2007) 231-236.
  • [15] Y.-H. Zhou, H.-D. Yong, A mode-III crack in a functionally graded piezoelectric strip bounded to two dissimilar piezoelectric half space, Composite structures 79 (2007) 404-410.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSL9-0030-0007
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