Complex variable-based analysis for two semi-permeable collinear cracks in a piezoelectromagnetic media |
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| Authors: | Kamlesh Jangid R. R. Bhargava |
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| Affiliation: | 1. Department of HEAS (Mathematics), Rajasthan Technical University, Kota, India;2. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India |
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| Abstract: | The problem of two equal collinear cracks weakening a poled transversely isotropic piezo-electro-magnetic plate is addressed under semi-permeable electro-magnetic boundary conditions on the crack faces. The problem is formulated employing Stroh formalism and solved using a complex variable technique. Closed form analytical expressions are derived for various fracture parameters. An illustrative numerical case study is presented for poled BaTiO3 ? CoFe2O4 ceramic cracked plate to study the effect of prescribed electric load, magnetic load, and inter-crack distance on fracture parameters. Moreover, a comparative study is done of volume fraction, impermeable, and semi-permeable boundary conditions on fracture parameters. |
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| Keywords: | Collinear cracks complex variable technique piezo-electro-magnetic ceramic semi-permeable Stroh formalism |
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