Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issue
Although the finite element method (FEM) is a well-established method for modelling the thick plates, in some cases FEM encounters some difficulties such as shear locking and decrease in the accuracy of results caused by stress concentration around the openings. In this paper for the first time, the...
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| Format: | Article |
| Language: | English |
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K. N. Toosi University of Technology
2021-05-01
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| Series: | Numerical Methods in Civil Engineering |
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| Online Access: | https://nmce.kntu.ac.ir/article_160528_b37681defb69339ee49eb2c64c34bb11.pdf |
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| author | Seyed Amin Vakili Farzad Shahabian Mohammad Hossein Ghadiri Rad |
| author_facet | Seyed Amin Vakili Farzad Shahabian Mohammad Hossein Ghadiri Rad |
| author_sort | Seyed Amin Vakili |
| collection | DOAJ |
| description | Although the finite element method (FEM) is a well-established method for modelling the thick plates, in some cases FEM encounters some difficulties such as shear locking and decrease in the accuracy of results caused by stress concentration around the openings. In this paper for the first time, the EFG method based on the higher-order shear deformation theories is developed for analysis of thick plates with cutout to overcome these drawbacks. It should be mentioned that the EFG method does not need any mesh generation in problem domain and its boundaries. The Radial Point Interpolation method (RPIM) is used to discrete the problem domain. Several numerical examples are analyzed using proposed method and effects of aspect ratios, boundary conditions and location of cutout are discussed in details. Results show that by choosing the appropriate shape functions for the deflection and rotations, the presented EFG method has successfully overcome the shear-locking problem. Based on numerical results, the best position of circular cutout, which minimizes the maximum deflection is determined. The approximate equations for determination of maximum deflection are presented using the cubic polynomial method. Numerical implementations show that the presented method has high efficiency, good accuracy and easy implementation. |
| format | Article |
| id | doaj-art-4e1f027d4d614bc69f456963ff871a3d |
| institution | OA Journals |
| issn | 2345-4296 2783-3941 |
| language | English |
| publishDate | 2021-05-01 |
| publisher | K. N. Toosi University of Technology |
| record_format | Article |
| series | Numerical Methods in Civil Engineering |
| spelling | doaj-art-4e1f027d4d614bc69f456963ff871a3d2025-08-20T02:34:36ZengK. N. Toosi University of TechnologyNumerical Methods in Civil Engineering2345-42962783-39412021-05-0154465910.52547/nmce.5.4.46160528Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issueSeyed Amin Vakili0Farzad Shahabian1Mohammad Hossein Ghadiri Rad2Ph.D. Student, Department of Civil Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.Professor, Department of Civil Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.Assistant Professor, Department of Civil Engineering, Quchan University of Technology, Quchan, Iran.Although the finite element method (FEM) is a well-established method for modelling the thick plates, in some cases FEM encounters some difficulties such as shear locking and decrease in the accuracy of results caused by stress concentration around the openings. In this paper for the first time, the EFG method based on the higher-order shear deformation theories is developed for analysis of thick plates with cutout to overcome these drawbacks. It should be mentioned that the EFG method does not need any mesh generation in problem domain and its boundaries. The Radial Point Interpolation method (RPIM) is used to discrete the problem domain. Several numerical examples are analyzed using proposed method and effects of aspect ratios, boundary conditions and location of cutout are discussed in details. Results show that by choosing the appropriate shape functions for the deflection and rotations, the presented EFG method has successfully overcome the shear-locking problem. Based on numerical results, the best position of circular cutout, which minimizes the maximum deflection is determined. The approximate equations for determination of maximum deflection are presented using the cubic polynomial method. Numerical implementations show that the presented method has high efficiency, good accuracy and easy implementation.https://nmce.kntu.ac.ir/article_160528_b37681defb69339ee49eb2c64c34bb11.pdfefg methodthick platecutoutshear lockinghigher-order shear deformation theories |
| spellingShingle | Seyed Amin Vakili Farzad Shahabian Mohammad Hossein Ghadiri Rad Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issue Numerical Methods in Civil Engineering efg method thick plate cutout shear locking higher-order shear deformation theories |
| title | Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issue |
| title_full | Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issue |
| title_fullStr | Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issue |
| title_full_unstemmed | Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issue |
| title_short | Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issue |
| title_sort | analyzing of thick plates with cutouts using the meshless efg method based on higher order shear deformation theories for solving shear locking issue |
| topic | efg method thick plate cutout shear locking higher-order shear deformation theories |
| url | https://nmce.kntu.ac.ir/article_160528_b37681defb69339ee49eb2c64c34bb11.pdf |
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