a Mesh-Free Method for Static and Free Vibration Analyses of Thin Plates of Complicated Shape

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Free vibration analysis of thin plates using Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration (2010, methodology): “Later this method has been applied to the vibration analysis of thin plate and shell problems by Liu and Chen [ 16 ] and Liu et al. [17].”
Meshfree Methods: Progress Made after 20 Years (2017, unknown): “…that involve higher order di ﬀ erentiation in the PDE, such as thin plate and shell problems (Chen and Wang 2006; Krysl and Belytschko 1995, 1996; Liu and Chen 2001; Long and Atluri 2001; Wang and Chen 2008; Wang and Peng 2013) where meshfree approximation functions with higher order…”
A meshfree radial point interpolation method (RPIM) for three-dimensional solids (2005, background): “2002), plate and shell structures (Liu and Chen, 2001; Liu and Liu, et al. 2002), problems of smart materials (Liu and Dai, et al.”
Isogeometric locking-free plate element: A simple first order shear deformation theory for functionally graded plates (2014, methodology): “method [48], EFG method [49], and node-based smoothing RPIM (NS-RPIM) method [50] are also”