Dynamic solution of a multilayered orthotropic piezoelectric hollow cylinder for axisymmetric plane strain problems

Wang, H.M.; Ding, Hu; Chen, Yunmin

doi:10.1016/j.ijsolstr.2004.06.059

Cited by 33 publications

(17 citation statements)

References 21 publications

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“…It should be mentioned here that all the elements in matrix [T (i) (ξ )] can be obtained in explicit form by applying the Cayley-Hamilton theorem [16,17]. Thus, f (i) (ξ ) (i = 1, 2, 3, 4) are known functions of ξ .…”

Section: Quasi-static Solutionmentioning

confidence: 99%

Dynamic behavior of piezoelectric/magnetostrictive composite hollow cylinder

2008

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The dynamic behavior of a multilayered, perfectly bonded piezoelectric/magnetostrictive composite hollow cylinder under radial deformation is investigated. The superposition method, the state space method as well as the separation of variables method are elegantly integrated in the solution approach. The governing equations are finally transformed into two Volterra integral equations of the second kind with respect to two functions of time. The elastic, electric and magnetic fields are finally obtained according to solving the integral equations. Free vibrations and transient responses are demonstrated by numerical experiments.

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Section: Quasi-static Solutionmentioning

confidence: 99%

Dynamic behavior of piezoelectric/magnetostrictive composite hollow cylinder

2008

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“…Examples include the walls of aerospace structures, the hulls of ships and cutting tools. The plane strain theory on the other hand, is widely used to investigate the free vibration of engineering structures like earth dams [5], shear wall structures [6] and thin or thick hollow cylinders [7][8][9][10]. For example, the earth dams and shear wall structures are designed to counter the effect of lateral dynamic loads caused by earthquake or wind.…”

Section: Introductionmentioning

confidence: 99%

A spectral dynamic stiffness method for free vibration analysis of plane elastodynamic problems

Xiang

Banerjee

2017

Mechanical Systems and Signal Processing

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Citation: Liu, X. and Banerjee, J. R. (2017). A spectral dynamic stiffness method for free vibration analysis of plane elastodynamic problems. Mechanical Systems and Signal Processing, 87, doi: 10.1016/j.ymssp.2016.10.017 This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent AbstractA highly efficient and accurate analytical spectral dynamic stiffness (SDS) method for modal analysis of plane elastodynamic problems based on both plane stress and plane strain assumptions is presented in this paper. First, the general solution satisfying the governing differential equation exactly is derived by applying two types of one-dimensional modified Fourier series. Then the SDS matrix for an element is formulated symbolically using the exact general solution. The SDS matrices are assembled directly in a similar way to that of the finite element method, demonstrating the method's capability to model complex structures. Any arbitrary boundary conditions are represented accurately in the form of the modified Fourier series. The Wittrick-Williams algorithm is then used as the solution technique where the mode count problem (J 0 ) of a fully-clamped element is resolved. The proposed method gives highly accurate solutions with remarkable computational efficiency, covering low, medium and high frequency ranges. The method is applied to both plane stress and plane strain problems with simple as well as complex geometries. All results from the theory in this paper are accurate up to the last figures quoted to serve as benchmarks.

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“…Therefore, additional driving forces should be considered to explain this class of failures. These driving forces may include the non-Fourier thermal conduction effect [8][9][10] or the inertia force effect [11][12][13]. Moreover, the initial heterogeneities such as micro-cracks or inclusions can also develop into macro-cracks under thermal shock [2,3].…”

Section: Introductionmentioning

confidence: 99%

Non-Fourier effect and inertia effect analysis of a strip with an induced crack under thermal shock loading

Song

et al. 2016

Engineering Fracture Mechanics

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a b s t r a c tIn this paper, the transient temperature fields and the dynamic stress intensity factors of a thermo-elastic strip containing an inner crack parallel to the heated surface under thermal shock are studied. The Biot number of the crack gap, hyperbolic heat conduction theory and equation of motion are considered to investigate the behavior of the temperature fields around the crack and the stress intensity factors. Fourier transform and Laplace transform are used to reduce this mixed boundary value problem. Numerical methods are used to solved the singular integrate equations. Finally, the numerical results are presented illustrating the influence of Biot number, non-Fourier effect and inertia effect on temperature field and stress intensity factors. It is found that the Biot number strongly affect the uniformity of the temperature field and the magnitude of the stress intensity factors. The stress intensity factors have higher amplitude and an oscillating feature comparing to those obtained under conventional Fourier thermal conduction condition and quasi-static hypothesis, which can help to better understand the crack behaviors of advanced materials under thermal impact loading.

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Dynamic solution of a multilayered orthotropic piezoelectric hollow cylinder for axisymmetric plane strain problems

Cited by 33 publications

References 21 publications

Dynamic behavior of piezoelectric/magnetostrictive composite hollow cylinder

Dynamic behavior of piezoelectric/magnetostrictive composite hollow cylinder

A spectral dynamic stiffness method for free vibration analysis of plane elastodynamic problems

Non-Fourier effect and inertia effect analysis of a strip with an induced crack under thermal shock loading

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