Fundamental-solution-based finite element model for plane orthotropic elastic bodies

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A new special element for stress concentration analysis of a plate with elliptical holes (2012, methodology): “As an alternative to the HT-FEM, a hybrid finite element formulation based on fundamental solutions has been developed for solving heat transfer problems in isotropic homogeneous solids [12] and fiber-reinforced composites [13], and elastic problems in isotropic [14] and orthotropic [15] media.”
Fundamental-solution-based hybrid FEM for plane elasticity with special elements (2011, methodology): “As an alternative to the HT-FEM, a hybrid finite element formulation based on the fundamental solutions, called the HFS-FEM, was recently developed for solving twodimensional linear or nonlinear thermal problems [18,19] and orthotropic elastic problems [20], which inherits the advantages of the HT-F”
Boundary integral based graded element for elastic analysis of 2D functionally graded plates (2012, methodology): “In the absence of body forces, the variational functional for any given element, say element e, used in the present model can be constructed as (Wang and Qin, 2010b, 2011) Pme ¼ 12 Z Ue sijεijdU Z Gte ti~uidGþ Z Ge ti ~ui ui dG (25) where Ue is the domain of element e, Gte and Gue are boundaries,…”