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Strip-Saturation-Induction Model Mode-III Solution for Piezoelectromagnetic Strip

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Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 117))

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Abstract

Using Fourier cosine integral transform technique, mode-III strip-induction-saturation model is proposed for a cracked transversely isotropic piezoelectromagnetic strip. Strip edges are subjected to combined anti-plane mechanical and in-plane electromagnetic loadings. Analytical closed-form expressions are derived for developed zones, field intensity factors, and energy release rates. Four impermeable/permeable electromagnetic crack-faces boundary conditions are considered. Results are plotted for BaTiO 3–CoFe 2 O 4 ceramic to show the influence of electromagnetic fields on local energy release rate (LERR) and global energy release rate(GERR).

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    R. R. Bhargava & Pooja Raj Verma

Authors
  1. R. R. Bhargava
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  2. Pooja Raj Verma
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Corresponding author

Correspondence to Pooja Raj Verma .

Editor information

Editors and Affiliations

  1. Department of Mathematics & Statistics, University of Guelph, Guelph, Ontario, Canada

    Monica G. Cojocaru

  2. Dept of Physics and Computer Science, Wilfrid Laurier University, Waterloo, Ontario, Canada

    Ilias S. Kotsireas

  3. Department of Mathematics and MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, Ontario, Canada

    Roman N. Makarov

  4. Department of Mathematics & MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, Ontario, Canada

    Roderick V. N. Melnik

  5. MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, Ontario, Canada

    Hasan Shodiev

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Bhargava, R., Verma, P. (2015). Strip-Saturation-Induction Model Mode-III Solution for Piezoelectromagnetic Strip. In: Cojocaru, M., Kotsireas, I., Makarov, R., Melnik, R., Shodiev, H. (eds) Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science. Springer Proceedings in Mathematics & Statistics, vol 117. Springer, Cham. https://doi.org/10.1007/978-3-319-12307-3_13

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