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An edge-based smoothed discrete shear gap method (ES-DSG) using the C0-type higher-order shear deformation theory for analysis of laminated composite plates

Loc Tran Vinh (UGent) , Nguyen-Thoi Trung, Thai Hoang Chien and Nguyen-Xuan Hung
(2015) MECHANICS OF ADVANCED MATERIALS AND STRUCTURES. 22(4). p.248-268
Author
Organization
Abstract
The edge-based smoothing discrete shear gap method (ES-DSG3) using three-node triangular elements is combined with a C0-type higher-order shear deformation theory (HSDT) to give a new linear triangular plate element for static, free vibration and buckling analyses of laminated composite plates. In the ES-DSG3, only the linear approximation is necessary and the discrete shear gap method (DSG) for triangular plate elements is used to avoid the shear locking and spurious zero energy modes. In addition, the stiffness matrices are calculated relied on smoothing domains associated with the edges of the triangular elements through an edge-based strain smoothing technique. Using the C0-type HSDT, the shear correction factors in the original ES-DSG3 can be removed and replaced by two additional degrees of freedom at each node. The numerical examples demonstrated that the ES-DSG3 show remarkably excellent performance compared to several other published elements in the literature.
Keywords
MESHFREE THIN SHELL, METHOD FS-FEM, DIFFERENTIAL QUADRATURE METHOD, FREE-VIBRATION ANALYSIS, ARBITRARY EVOLVING CRACKS, SANDWICH PLATES, PLATE/SHELL STRUCTURES, BUCKLING ANALYSIS, ELEMENT, STABILITY, laminated composite plates, meshfree methods, finite element method (FEM), edge-based smoothed finite element method (ES-FEM), discrete shear gap (DSG) method

Citation

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MLA
Tran Vinh, Loc, et al. “An Edge-Based Smoothed Discrete Shear Gap Method (ES-DSG) Using the C0-Type Higher-Order Shear Deformation Theory for Analysis of Laminated Composite Plates.” MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, vol. 22, no. 4, 2015, pp. 248–68, doi:10.1080/15376494.2012.736055.
APA
Tran Vinh, L., Trung, N.-T., Hoang Chien, T., & Hung, N.-X. (2015). An edge-based smoothed discrete shear gap method (ES-DSG) using the C0-type higher-order shear deformation theory for analysis of laminated composite plates. MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 22(4), 248–268. https://doi.org/10.1080/15376494.2012.736055
Chicago author-date
Tran Vinh, Loc, Nguyen-Thoi Trung, Thai Hoang Chien, and Nguyen-Xuan Hung. 2015. “An Edge-Based Smoothed Discrete Shear Gap Method (ES-DSG) Using the C0-Type Higher-Order Shear Deformation Theory for Analysis of Laminated Composite Plates.” MECHANICS OF ADVANCED MATERIALS AND STRUCTURES 22 (4): 248–68. https://doi.org/10.1080/15376494.2012.736055.
Chicago author-date (all authors)
Tran Vinh, Loc, Nguyen-Thoi Trung, Thai Hoang Chien, and Nguyen-Xuan Hung. 2015. “An Edge-Based Smoothed Discrete Shear Gap Method (ES-DSG) Using the C0-Type Higher-Order Shear Deformation Theory for Analysis of Laminated Composite Plates.” MECHANICS OF ADVANCED MATERIALS AND STRUCTURES 22 (4): 248–268. doi:10.1080/15376494.2012.736055.
Vancouver
1.
Tran Vinh L, Trung N-T, Hoang Chien T, Hung N-X. An edge-based smoothed discrete shear gap method (ES-DSG) using the C0-type higher-order shear deformation theory for analysis of laminated composite plates. MECHANICS OF ADVANCED MATERIALS AND STRUCTURES. 2015;22(4):248–68.
IEEE
[1]
L. Tran Vinh, N.-T. Trung, T. Hoang Chien, and N.-X. Hung, “An edge-based smoothed discrete shear gap method (ES-DSG) using the C0-type higher-order shear deformation theory for analysis of laminated composite plates,” MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, vol. 22, no. 4, pp. 248–268, 2015.
@article{5746787,
  abstract     = {{The edge-based smoothing discrete shear gap method (ES-DSG3) using three-node triangular elements is combined with a C0-type higher-order shear deformation theory (HSDT) to give a new linear triangular plate element for static, free vibration and buckling analyses of laminated composite plates. In the ES-DSG3, only the linear approximation is necessary and the discrete shear gap method (DSG) for triangular plate elements is used to avoid the shear locking and spurious zero energy modes. In addition, the stiffness matrices are calculated relied on smoothing domains associated with the edges of the triangular elements through an edge-based strain smoothing technique. Using the C0-type HSDT, the shear correction factors in the original ES-DSG3 can be removed and replaced by two additional degrees of freedom at each node. The numerical examples demonstrated that the ES-DSG3 show remarkably excellent performance compared to several other published elements in the literature.}},
  author       = {{Tran Vinh, Loc and Trung, Nguyen-Thoi and Hoang Chien, Thai and Hung, Nguyen-Xuan}},
  issn         = {{1537-6532}},
  journal      = {{MECHANICS OF ADVANCED MATERIALS AND STRUCTURES}},
  keywords     = {{MESHFREE THIN SHELL,METHOD FS-FEM,DIFFERENTIAL QUADRATURE METHOD,FREE-VIBRATION ANALYSIS,ARBITRARY EVOLVING CRACKS,SANDWICH PLATES,PLATE/SHELL STRUCTURES,BUCKLING ANALYSIS,ELEMENT,STABILITY,laminated composite plates,meshfree methods,finite element method (FEM),edge-based smoothed finite element method (ES-FEM),discrete shear gap (DSG) method}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{248--268}},
  title        = {{An edge-based smoothed discrete shear gap method (ES-DSG) using the C0-type higher-order shear deformation theory for analysis of laminated composite plates}},
  url          = {{http://doi.org/10.1080/15376494.2012.736055}},
  volume       = {{22}},
  year         = {{2015}},
}
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