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dc.contributor.authorHuang, C. S.en_US
dc.contributor.authorYang, P. J.en_US
dc.contributor.authorChang, M. J.en_US
dc.date.accessioned2014-12-08T15:23:26Z-
dc.date.available2014-12-08T15:23:26Z-
dc.date.issued2012-09-01en_US
dc.identifier.issn0263-8223en_US
dc.identifier.urihttp://hdl.handle.net/11536/16414-
dc.description.abstractThe free vibrations of rectangular FGM plates with through internal cracks are investigated using the Ritz method. Three-dimensional elasticity theory is employed, and new sets of admissible functions for the displacement fields are proposed to enhance the effectiveness of the Ritz method in modeling the behaviors of cracked plates. The proposed admissible functions accurately describe the stress singularities at the fronts of the crack and display displacement discontinuities across the crack. The correctness and validity of the present approach are established through comprehensive convergence studies and comparisons with published results for homogeneous cracked plates, based on various plate theories. The locally effective material properties of FGM in the thickness direction are estimated by a simple power law. The effects of the volume fraction of the constituents of FGM and the thickness-to-length ratio on the frequencies are investigated. Frequency data for FGM square plates with three types of boundary conditions along the four side faces and with internal cracks of various crack lengths, positions and orientations are tabulated for the first time. (c) 2012 Elsevier Ltd. All rights reserved.en_US
dc.language.isoen_USen_US
dc.subjectThree-dimensional elasticity theoryen_US
dc.subjectRitz methoden_US
dc.subjectFunctionally graded materialen_US
dc.subjectCracked plateen_US
dc.subjectVibrationen_US
dc.titleThree-dimensional vibration analyses of functionally graded material rectangular plates with through internal cracksen_US
dc.typeArticleen_US
dc.identifier.journalCOMPOSITE STRUCTURESen_US
dc.citation.volume94en_US
dc.citation.issue9en_US
dc.citation.epage2764en_US
dc.contributor.department土木工程學系zh_TW
dc.contributor.departmentDepartment of Civil Engineeringen_US
dc.identifier.wosnumberWOS:000305600600011-
dc.citation.woscount3-
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