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Indirect Trefftz Method for Solving Cauchy Problem of Linear Piezoelectricity

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Computational Modelling and Advanced Simulations

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 24))

Abstract

In this chapter, the indirect Trefftz collocation method is applied to solve the inverse Cauchy problem of linear piezoelectricity. The static analysis of coupled fields in 2D piezoelectric solids is considered. The piezoelectric material is modelled as a homogenous, linear elastic, linear dielectric and transversal isotropic. The T-functions are obtained by the Stroh formalism. The inverse Cauchy problem in linear plane piezoelectricity is formulated. The Cauchy problem is solved using the singular value decomposition (SVD) regularisation technique with L-curve method.

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Authors and Affiliations

  1. Department of Strength of Materials and Computational Mechanics, Silesian University of Technology, Konarskiego 18A, 44-100, Gliwice, Poland

    G. Dziatkiewicz & P. Fedeliński

Authors
  1. G. Dziatkiewicz
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  2. P. Fedeliński
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Corresponding author

Correspondence to G. Dziatkiewicz .

Editor information

Editors and Affiliations

  1. in Bratislava, Department of Mechanics, Slovak University of Technology, Ilkovičova 3, Bratislava, 812 19, Slovakia

    Justín Murín

  2. AFA General Milan Rastislav Štefánik, Demänová 393, Liptovsky Mikulas, 031 19, Slovakia

    Vladimír Kompiš

  3. Department of Mechanics, Slovak Univ. of Technology in Bratislava, Ilkovičova 3, Bratislava, 812 19, Slovakia

    Vladimír Kutiš

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Dziatkiewicz, G., Fedeliński, P. (2011). Indirect Trefftz Method for Solving Cauchy Problem of Linear Piezoelectricity. In: Murín, J., Kompiš, V., Kutiš, V. (eds) Computational Modelling and Advanced Simulations. Computational Methods in Applied Sciences, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0317-9_3

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  • DOI: https://doi.org/10.1007/978-94-007-0317-9_3

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0316-2

  • Online ISBN: 978-94-007-0317-9

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