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A review of meshless methods for laminated and functionally graded plates and shells

โœ Scribed by K.M. Liew; Xin Zhao; Antonio J.M. Ferreira


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
282 KB
Volume
93
Category
Article
ISSN
0263-8223

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โœฆ Synopsis


This review focuses mainly on the developments of element-free or meshless methods and their applications in the analysis of composite structures. This review is organized as follows: a brief introduction to shear deformation plate and shell theories for composite structures, covering the first-order and higherorder theories, is given in Section 2. A review of meshless methods is provided in Section 3, with main emphasis on the element-free Galerkin method and reproducing kernel particle method. The applications of meshless methods in the analysis of composite structures are discussed in Section 4, including static and dynamic analysis, free vibration, buckling, and non-linear analysis. Finally, the problems and difficulties in meshless methods and possible future research directions are addressed in Section 5.


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โœ Song Xiang; Ke-ming Wang; Yan-ting Ai; Yun-dong Sha; Hong Shi ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 513 KB

In this paper we use various shear deformation theories for modelling isotropic, sandwich and laminated plates discretized by a meshless method based on inverse multiquadric radial basis functions. The present results are compared with other available published results. The results show that the hig