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A 3D shell-like approach using element-free Galerkin method for analysis of thin and thick plate structures

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Abstract

A new efficient meshless method based on the element-free Galerkin method is proposed to analyze the static deformation of thin and thick plate structures in this paper. Using the new 3D shell-like kinematics in analogy to the solid-shell concept of the finite element method, discretization is carried out by the nodes located on the upper and lower surfaces of the structures. The approximation of all unknown field variables is carried out by using the moving least squares (MLS) approximation scheme in the in-plane directions, while the linear interpolation is applied through the thickness direction. Thus, different boundary conditions are defined only using displacements and penalty method is used to enforce the essential boundary conditions. The constrained Galerkin weak form, which incorporates only displacement degrees of freedom (d.o.f.s), is derived. A modified 3D constitutive relationship is adopted in order to avoid or eliminate some self-locking effects. The numeric efficiency of the proposed meshless formulation is illustrated by the numeric examples.

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Authors and Affiliations

  1. School of Mathematical Science, Soochow University, 215006, Suzhou, China

    Yu Yin, Lin-Quan Yao & Yang Cao

  2. School of Urban Rail Transportation, Soochow University, 215006, Suzhou, China

    Lin-Quan Yao

  3. School of Transportation, Nantong University, 226000, Nantong, China

    Yang Cao

Authors
  1. Yu Yin
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  2. Lin-Quan Yao
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  3. Yang Cao
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Corresponding author

Correspondence to Lin-Quan Yao.

Additional information

The project was supported by the National Natural Science Foundation of China (11172192), the College Postgraduate Research and Innovation Project of Jiangsu province (CXZZ12 0803).

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Yin, Y., Yao, LQ. & Cao, Y. A 3D shell-like approach using element-free Galerkin method for analysis of thin and thick plate structures. Acta Mech Sin 29, 85–98 (2013). https://doi.org/10.1007/s10409-012-0159-7

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  • DOI: https://doi.org/10.1007/s10409-012-0159-7

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