An Efficient Boundary-Type Meshless Computational Approach for the Axial Compression on the Part Boundary of the Circular Shaft (Brazilian Test)
An efficient boundary-type meshless computational approach, namely, the virtual boundary meshless Galerkin method (VBMGM), as the partial differential equation on the weak term is shown for solving the axial compression on the part boundary of the circular shaft (Brazilian test), which is used to ob...
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| Format: | Article |
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MDPI AG
2022-11-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/22/11806 |
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| author | Jing Ling Hongying Wang Hongzhong Mou |
| author_facet | Jing Ling Hongying Wang Hongzhong Mou |
| author_sort | Jing Ling |
| collection | DOAJ |
| description | An efficient boundary-type meshless computational approach, namely, the virtual boundary meshless Galerkin method (VBMGM), as the partial differential equation on the weak term is shown for solving the axial compression on the part boundary of the circular shaft (Brazilian test), which is used to obtain the compressive strength of concrete or rock-like material. The Galerkin method is used to achieve the VBMGM. The radial basis function with compact support is employed to approximate the virtual load on the virtual boundary; therefore, the suggested approach combines the benefits of the boundary element method, the meshless method, and the Galerkin method. The detailed numerical discrete formula of the VBMGM is derived. Many scholars have found the VBMGM convenient to programme and use when studying other engineering problems. A comparison is made between the numerical results achieved by using the VBMGM and results achieved by using other methods. The proposed method is proven to be accurate. |
| first_indexed | 2024-03-09T18:29:06Z |
| format | Article |
| id | doaj.art-2d562ec3128a40808a817ca53a6278d0 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T18:29:06Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-2d562ec3128a40808a817ca53a6278d02023-11-24T07:41:14ZengMDPI AGApplied Sciences2076-34172022-11-0112221180610.3390/app122211806An Efficient Boundary-Type Meshless Computational Approach for the Axial Compression on the Part Boundary of the Circular Shaft (Brazilian Test)Jing Ling0Hongying Wang1Hongzhong Mou2School of Materlals and Architectural Engineering (Guizhou School of Emergency Management), Guizhou Key Laboratory of Inorganic Nonmetal Function Materials, Guizhou Normal University, Guiyang 550001, ChinaSchool of Materlals and Architectural Engineering (Guizhou School of Emergency Management), Guizhou Key Laboratory of Inorganic Nonmetal Function Materials, Guizhou Normal University, Guiyang 550001, ChinaSchool of Materlals and Architectural Engineering (Guizhou School of Emergency Management), Guizhou Key Laboratory of Inorganic Nonmetal Function Materials, Guizhou Normal University, Guiyang 550001, ChinaAn efficient boundary-type meshless computational approach, namely, the virtual boundary meshless Galerkin method (VBMGM), as the partial differential equation on the weak term is shown for solving the axial compression on the part boundary of the circular shaft (Brazilian test), which is used to obtain the compressive strength of concrete or rock-like material. The Galerkin method is used to achieve the VBMGM. The radial basis function with compact support is employed to approximate the virtual load on the virtual boundary; therefore, the suggested approach combines the benefits of the boundary element method, the meshless method, and the Galerkin method. The detailed numerical discrete formula of the VBMGM is derived. Many scholars have found the VBMGM convenient to programme and use when studying other engineering problems. A comparison is made between the numerical results achieved by using the VBMGM and results achieved by using other methods. The proposed method is proven to be accurate.https://www.mdpi.com/2076-3417/12/22/11806Brazilian testcompressive strength of concrete or rock-like materialboundary element methodmeshless methodGalerkin method |
| spellingShingle | Jing Ling Hongying Wang Hongzhong Mou An Efficient Boundary-Type Meshless Computational Approach for the Axial Compression on the Part Boundary of the Circular Shaft (Brazilian Test) Applied Sciences Brazilian test compressive strength of concrete or rock-like material boundary element method meshless method Galerkin method |
| title | An Efficient Boundary-Type Meshless Computational Approach for the Axial Compression on the Part Boundary of the Circular Shaft (Brazilian Test) |
| title_full | An Efficient Boundary-Type Meshless Computational Approach for the Axial Compression on the Part Boundary of the Circular Shaft (Brazilian Test) |
| title_fullStr | An Efficient Boundary-Type Meshless Computational Approach for the Axial Compression on the Part Boundary of the Circular Shaft (Brazilian Test) |
| title_full_unstemmed | An Efficient Boundary-Type Meshless Computational Approach for the Axial Compression on the Part Boundary of the Circular Shaft (Brazilian Test) |
| title_short | An Efficient Boundary-Type Meshless Computational Approach for the Axial Compression on the Part Boundary of the Circular Shaft (Brazilian Test) |
| title_sort | efficient boundary type meshless computational approach for the axial compression on the part boundary of the circular shaft brazilian test |
| topic | Brazilian test compressive strength of concrete or rock-like material boundary element method meshless method Galerkin method |
| url | https://www.mdpi.com/2076-3417/12/22/11806 |
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