A Hermite reproducing kernel approximation for thin‐plate analysis with sub‐domain stabilized conforming integration

By Dong-dong Wang, Jiun-Shyan Chen. 2008

142 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/4b2e1746875f2fefb86e65f9b11b7708f5424f4c

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In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

A thin plate formulation without rotation DOFs based on the radial point interpolation method and triangular cells (2011, methodology): “Recently, a Hermite reproducing kernel approximation is proposed by Wang and Chen [22] for thin-plate analysis with sub-domain stabilized conforming integration.”
Rotation free isogeometric thin shell analysis using PHT-splines (2011, background): “Depending on the thickness, shell elements can be categorized into thin plate/shell elements [2–9] and thick plate/shell elements [10–16].”
Second‐order accurate derivatives and integration schemes for meshfree methods (2012, methodology): “This fact leads to the integration correction by Bonet and Kulasegaram [8] and the SCNI by Chen et al. [3, 4].”
Stabilized and variationally consistent nodal integration for meshfree modeling of impact problems (2014, methodology): “SCNI has been applied to other meshfree methods [25] and has also been extended to plates and shells [7,22,23].”
Free vibration analysis of thin plates using Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration (2010, methodology): “For thin plate problems, in [43,44] a Hermite reproducing kernel (HRK) approximation and a sub-domain stabilized conforming integration (SSCI) method were developed.”
Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures (2011, methodology): “More recently the SCNI method was further generalized to formulate the sub-domain stabilized conforming integration (SSCI) method for thin plate analysis in which a Hermite reproducing kernel (HRK) approximation was used [44,45].”
An arbitrary order variationally consistent integration for Galerkin meshfree methods (2013, methodology): “Chen et al. [16] derived the integration constraint by enforcing linear exactness in the Galerkin approximation with quadrature and proposed SCNI where the strains are smoothed with divergence operation on a set of conforming subdomains such that the integration constraint is satisfied.”
Meshfree Methods: Progress Made after 20 Years (2017, unknown): “…al. 2002), the natural element method (Yoo et al. 2004), the Schrödinger equation (Chen et al. 2007a), plate and shell problems (Chen and Wang 2006; Wang and Chen 2004, 2008), and more recently, convection dominated problems (Hillman and Chen 2016) and coupled analysis of fluid-saturated porous…”
A new support integration scheme for the weakform in mesh‐free methods (2010, methodology): “This method has recently been extended to plates [21].”