An element-free method for in-plane notch problems with anisotropic materials

S. H. Ju, H. H. Hsu

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This study developed an element-free Galerkin method (EFGM) to simulate notched anisotropic plates containing stress singularities at the notch tip. Two-dimensional theoretical complex displacement functions are first deduced into the moving least-squares interpolation. The interpolation functions and their derivatives are then determined to calculate the nodal stiffness using the Galerkin method. In the numerical validation, an interface layer of the EFGM is used to combine the mesh between the traditional finite elements and the proposed singular notch EFGM. The H-integral determined from finite element analyses with a very fine mesh is used to validate the numerical results of the proposed method. The comparisons indicate that the proposed method obtains more accurate results for the displacement, stress, and energy fields than those determined from the standard finite element method.

Original languageEnglish
Pages (from-to)1150-1164
Number of pages15
JournalInternational Journal for Numerical Methods in Engineering
Volume94
Issue number12
DOIs
Publication statusPublished - 2013 Jun 22

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Element-free Galerkin Method
Anisotropic Material
Notch
Galerkin methods
Mesh
Finite Element
Stress Singularity
Moving Least Squares
Interpolation
Interpolation Function
Galerkin Method
Stiffness
Finite Element Method
Interpolate
Interfaces (computer)
Calculate
Derivative
Numerical Results
Derivatives
Energy

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Cite this

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An element-free method for in-plane notch problems with anisotropic materials. / Ju, S. H.; Hsu, H. H.

In: International Journal for Numerical Methods in Engineering, Vol. 94, No. 12, 22.06.2013, p. 1150-1164.

Research output: Contribution to journalArticle

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