Investigation of Order of Singularity in 3D Two-phase Transversely Isotropic Piezoelectric Dissimilar Joints by Eigen Analysis Method

Islam, Md. Shahidul; Kader, Md. Golam; Uddin, M.M. Kamal

doi:10.1016/j.proeng.2014.11.814

Cited by 1 publication

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“…us, the problem of calculating the singularity orders of the junctions bonded by piezoelectric and composite wedges is transformed into the problem of solving the eigenvalues of ordinary differential equations (6) and (14) under boundary conditions equations (16) and (17) and interface conditions equation (18).…”

Section: Singularity In Piezoelectric Composite Junctionsmentioning

confidence: 99%

“…Luangarpa and Koguchi [17] extended a conservative integral based on the Betti reciprocal principle for calculating intensities of singularity at tips of interfaces in three-dimensional piezoelectric bonded joints. Islam et al [18] evaluated the singularity orders in three-dimensional two-phase transversely isotropic piezoelectric dissimilar joints by the eigenanalysis method. Hrstka et al [19] used the expanded Lekhnitskii-Eshelby-Stroh formalism to investigate an asymptotic in-plane problem of bimaterial sharp notches with various geometries and interface cracks in several generally monoclinic piezoelectric bimaterials.…”

Section: Introductionmentioning

confidence: 99%

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Singularity of Electromechanical Coupling Field in Piezoelectric Composite Junctions

Jiang

Zhang

2020

Mathematical Problems in Engineering

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The double singularities including singular stress field and singular electric displacement field, in the tips of piezoelectric composite junctions, are analyzed by the interpolation matrix method (IMM). The double singularity analysis problem of piezoelectric composite junctions is converted into eigenvalue solution problem of ordinary differential equations with variable coefficients under corresponding boundary conditions. In numerical examples, the first couple of singularity orders and the corresponding characteristic angular functions of displacement and electric potential for the electromechanical coupling field are obtained and comparisons are presented to validate the accuracy of the proposed method. The singularity of the electromechanical coupling field at the tip of piezoelectric composite material junctions is closely related to the bonding angle and fiber direction. According to the numerical results, the best scheme can be configured for the combination of dissimilar materials.

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