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Evaluation of fracture parameters in continuously nonhomogeneous piezoelectric solids

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Abstract

A contour integral method is developed for computation of stress intensity and electric intensity factors for cracks in continuously nonhomogeneous piezoelectric body under a transient dynamic load. It is shown that the asymptotic fields in the crack-tip vicinity in a continuously nonhomogeneos medium is the same as in a homogeneous one. A meshless method based on the local Petrov-Galerkin approach is applied for computation of physical fields occurring in the contour integral expressions of intensity factors. A unit step function is used as the test functions in the local weak-form. This leads to local integral equations (LBIEs) involving only contour-integrals on the surfaces of subdomains. The moving least-squares (MLS) method is adopted for approximating the physical quantities in the LBIEs. The accuracy of the present method for computing the stress intensity factors (SIF) and electrical displacement intensity factors (EDIF) are discussed by comparison with available analytical or numerical solutions.

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Authors and Affiliations

  1. Institute of Construction and Architecture, Slovak Academy of Sciences, 84503, Bratislava, Slovakia

    Jan Sladek & V. Sladek

  2. Department of Civil Engineering, University of Siegen, 57068, Siegen, Germany

    Ch. Zhang

  3. Department of Mechanics, Slovak Technical University, Bratislava, Slovakia

    P. Solek

  4. Computer Modeling and Simulation Group, Department of Civil Engineering, University of Akron, Akron, OH, 44325-3905, USA

    E. Pan

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  1. Jan Sladek
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  2. V. Sladek
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  3. Ch. Zhang
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  4. P. Solek
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  5. E. Pan
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Correspondence to Jan Sladek.

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Sladek, J., Sladek, V., Zhang, C. et al. Evaluation of fracture parameters in continuously nonhomogeneous piezoelectric solids. Int J Fract 145, 313–326 (2007). https://doi.org/10.1007/s10704-007-9130-1

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  • DOI: https://doi.org/10.1007/s10704-007-9130-1

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