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Meshfree Analysis of Thin Plates using an Improved Stabilized Conforming Integration Method

In: Computational Mechanics

Author

Listed:
  • Dongdong Wang

    (Xiamen University, Department of Civil Engineering)

  • Jiun-Shyan Chen

    (University of California, Department of Civil & Environmental Engineering)

Abstract

The stabilized conforming nodal integration (SCNI) approach has been developed for elasticity and plate problems [1–3]. In this paper an efficient Galerkin meshfree formulation for thin plate analysis with an improved stabilized conforming integration method is developed. Through reformulating the reproducing conditions, a Hermite reproducing kernel approximation based on both deflection and rotations is constructed. It is shown that this approximation yields better accuracy than that solely using the deflection variable. With this enhanced approximation, the Galerkin meshfree framework for thin plates is formulated and the integration constraints for bending exactness are derived. An improved integration approach known as sub-domain stabilized conforming integration (SSCI) method is proposed to obtain the exact pure bending solution and to maintain spatial stability, where the nodal representative domain is further partitioned into several non-overlapping sub-domains for curvature smoothing to ensure stability. As shown in Figure 1 numerical examples demonstrate that the proposed formulation offers superior convergence rates, accuracy and efficiency, compared to those based on higher order Gauss qudrature rules. Figure 1 Solution comparisons for a clamped circular plate under center load

Suggested Citation

  • Dongdong Wang & Jiun-Shyan Chen, 2007. "Meshfree Analysis of Thin Plates using an Improved Stabilized Conforming Integration Method," Springer Books, in: Computational Mechanics, pages 346-346, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75999-7_146
    DOI: 10.1007/978-3-540-75999-7_146
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