Edge waves in asymmetrically laminated plates

Fu, Yibin; Brookes, D. W.

doi:10.1016/j.jmps.2005.08.007

Cited by 32 publications

(36 citation statements)

References 25 publications

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“…The success of getting the fundamental solutions for the problem studied in this paper depends heavily on the development of Stroh-like formalism, which is an elegant and powerful complex variable formulation for static problems or steady motions in anisotropic elasticity. One may refer to Fu & Brookes (2006) and Fu (2007) for a more recent interpretation of Stroh-like formalism and its application to the study of edge wave propagation in asymmetrically laminated plates.…”

Section: Introductionmentioning

confidence: 99%

Boundary integral equations for general laminated plates with coupled stretching–bending deformation

Hwu

2009

Proc. R. Soc. A.

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The boundary integral equations for the stretching-bending coupling analysis of general laminated plates are derived in this paper with the aid of the reciprocal theorem of Betti and Raleigh. No restriction is placed on the location of the point load or moment, and so it can be an internal or external point or a smooth or non-smooth boundary point. The fundamental solutions derived from Green's function for an infinite laminated plate subjected to concentrated forces/moments are presented in the complex matrix form. Through the use of some identities converting complex form to real form, the free term coefficients, which are important for the boundary integral equations, are obtained explicitly and expressed in the real form. Alternative formulae for calculating the free term coefficients are also derived using five rigid body movements. By using the explicit real expressions obtained recently for the Stroh-like formalism of coupled stretching-bending analysis, the free term coefficients are further reduced to the cases of isotropic plates and are then compared with known expressions published in the literature. Since stretching and bending decouple for isotropic plates, comparison is made separately for the in-plane problem and plate bending problem, and it is shown that the boundary integral equations derived in this paper agree with previous results for these two special cases.

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Section: Introductionmentioning

confidence: 99%

Boundary integral equations for general laminated plates with coupled stretching–bending deformation

Hwu

2009

Proc. R. Soc. A.

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“…Due to coupling effects, the unsymmetrical plate models are more complicated than the symmetric ones. It seems that the investigation of edge waves in asymmetric anisotropic plates has been reported only by Fu and Brookes (2006) in open literature. In that work, a Stroh-like formalism for the edge waves was derived.…”

Section: Introductionmentioning

confidence: 99%

“…Fu (2003) noted the issues and introduced a Stroh-like formalism into the study of edge waves of symmetric plates. The method was further extended to the case of general unsymmetrical plates to show the existence of at most two edge waves in the structures (Fu and Brookes, 2006).…”

Section: Introductionmentioning

confidence: 99%

“…In the formalism by Fu and Brookes (2006) for the steady edge waves, the in-plane inertia terms in the equations of motion were not considered for simplicities. The formulations and fundamental matrices obtained were also not as compact as expected.…”

Section: Introductionmentioning

confidence: 99%

“…The formulations and fundamental matrices obtained were also not as compact as expected. In addition, Fu and Brookes (2006) only showed that each unsymmetrical anisotropic plate can support at most two edge waves, but did not elaborate the conditions for the existence of either one or two edge waves.…”

Section: Introductionmentioning

confidence: 99%

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Further studies on edge waves in anisotropic elastic plates

Lü

Chen

Lee

et al. 2007

International Journal of Solids and Structures

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A modified Stroh-type formalism for edge waves in unsymmetrical anisotropic plates is derived. Explicit expressions of the fundamental matrices for the formalism are presented. The existence conditions for one or two subsonic edge waves in the unsymmetrical anisotropic plates are discussed based on the formalism, and a procedure for finding an explicit secular equation for the edge-wave speed is proposed.

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