標題: Three-dimensional vibration analyses of functionally graded material rectangular plates with through internal cracks
作者: Huang, C. S.
Yang, P. J.
Chang, M. J.
土木工程學系
Department of Civil Engineering
關鍵字: Three-dimensional elasticity theory;Ritz method;Functionally graded material;Cracked plate;Vibration
公開日期: 1-九月-2012
摘要: The 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.
URI: http://hdl.handle.net/11536/16414
ISSN: 0263-8223
期刊: COMPOSITE STRUCTURES
Volume: 94
Issue: 9
結束頁: 2764
顯示於類別:期刊論文


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  1. 000305600600011.pdf