Fracture analysis of magnetoelectroelastic bimaterials with imperfect interfaces by symplectic expansion

Zhou, Zhenhuan; Cheng, Xianhe; Xü, Xinsheng; Xu, Chi; Tong, Zhenzhen; Rong, Dalun

doi:10.1007/s10483-017-2222-9

Cited by 6 publications

(1 citation statement)

References 62 publications

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“…The 2D and 3D symplectic structures of transversely isotropic piezoelectric media have been derived by Gu [11][12][13][14]. Xu et al [15] studied the problem of interfacial cracks in non-ideal interfacial magnetoelectroelastic bimaterials. Some exact solutions for the bending and vibration of rectangular plates were also obtained by Li and Zhong [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Symplectic Method for the Thin Piezoelectric Plates

Fan

Chen

2022

Crystals

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The symplectic method for a thin piezoelectric plate problem is developed. The Hamiltonian canonical equation of thin piezoelectric plate is given by using the variational principle. By applying the separation of variables method, we can obtain symplectic orthogonal eigensolutions. As an application, the problem of a thin piezoelectric plate with full edges simply supported under a uniformly distributed load is discussed, and analytical solutions of the deflection and potential of a piezoelectric thin plate are obtained. A numerical example shows that the solutions converge very rapidly. The advantage of this method is that it does not need to assume the predetermined function in advance, so it has better universality. It may also be applied to the problem of thin piezoelectric plate buckling and vibrating.

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