An improved moving Kriging meshfree method for plate analysis using a refined plate theory

Chien H. Thai, Tan N. Nguyen, Timon Rabczuk, H. Nguyen-Xuan

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

This paper proposes a simple and efficient approach based on a moving Kriging interpolation-based (MKI) meshfree method and a two-variable refined plate theory for static, free vibration and buckling analyses of isotropic plates. A generalized formulation through various higher-order distributed functions is presented. Shear correction factors are not required due to zero-shear stresses satisfied at the top and bottom surfaces of plates. The governing partial differential equations are discretized by a weak Galerkin form and numerically solved by using MKI basis functions. The present theory considers the transverse, shear deflections and their derivations while only the deflections are included in approximate solutions. A new correlation function is proposed to construct MKI shape functions so that the underlying solution becomes stable. In addition, a rotation-free technique based on isogeometric analysis is presented to enforce boundary conditions of normal slopes for clamped plate cases, which is simpler and more efficient than several existing approaches. Numerical results show excellent performance of the present method.

Original languageEnglish
Pages (from-to)34-49
Number of pages16
JournalComputers and Structures
Volume176
DOIs
Publication statusPublished - 2016 Nov 1
Externally publishedYes

Fingerprint

Meshfree Method
Plate Theory
Kriging
Interpolate
Deflection
Interpolation
Isogeometric Analysis
Stable Solution
Free Vibration
Shape Function
Buckling
Shear Stress
Galerkin
Basis Functions
Correlation Function
Slope
Approximate Solution
Transverse
Partial differential equation
Higher Order

Keywords

  • Isogeometric analysis
  • Meshfree method
  • Moving Kriging interpolation
  • Two-variable refined plate theory

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modelling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

Cite this

An improved moving Kriging meshfree method for plate analysis using a refined plate theory. / Thai, Chien H.; Nguyen, Tan N.; Rabczuk, Timon; Nguyen-Xuan, H.

In: Computers and Structures, Vol. 176, 01.11.2016, p. 34-49.

Research output: Contribution to journalArticle

Thai, Chien H. ; Nguyen, Tan N. ; Rabczuk, Timon ; Nguyen-Xuan, H. / An improved moving Kriging meshfree method for plate analysis using a refined plate theory. In: Computers and Structures. 2016 ; Vol. 176. pp. 34-49.
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