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Functionally Graded Piezoelectric Media with a Single Anti-plane Crack

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Dynamic Fracture of Piezoelectric Materials

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 212))

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Abstract

Treated is an arbitrarily shaped anti-plane shear crack in a finite inhomogeneous piezoelectric domain under time-harmonic loading. Within a unified scheme different types of inhomogeneity are considered for which the material parameters may vary in arbitrary directions. The problem is solved by using a numerically efficient non-hypersingular traction BIEM. The fundamental solutions for the different inhomogeneity types are derived in closed form. Numerical results for the SIFs are discussed. They show the effect of the material inhomogeneity type and characteristics and the efficiency of the computational method.

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Author information

Authors and Affiliations

  1. Department of Solid Mechanics, Institute of Mechanics, Bulgarian Academy of ScienceS, Sofia, Bulgaria

    Petia Dineva

  2. Division of Solid Mechanics, TU Darmstadt, Darmstadt, Germany

    Dietmar Gross

  3. Department of Mechanical and Process Engineering, Institute of Applied Mechanics, TU Kaiserslautern, Kaiserslautern, Germany

    Ralf Müller

  4. Department of Differential Equations and Mathematical Physics, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Tsviatko Rangelov

Authors
  1. Petia Dineva
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  2. Dietmar Gross
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  3. Ralf Müller
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  4. Tsviatko Rangelov
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Corresponding author

Correspondence to Tsviatko Rangelov .

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Dineva, P., Gross, D., Müller, R., Rangelov, T. (2014). Functionally Graded Piezoelectric Media with a Single Anti-plane Crack. In: Dynamic Fracture of Piezoelectric Materials. Solid Mechanics and Its Applications, vol 212. Springer, Cham. https://doi.org/10.1007/978-3-319-03961-9_11

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  • DOI: https://doi.org/10.1007/978-3-319-03961-9_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03960-2

  • Online ISBN: 978-3-319-03961-9

  • eBook Packages: EngineeringEngineering (R0)

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