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Numerical solution
of bidirectional functionally graded materials using a novel
meshless global radial basis reproducing kernel particle
method
Shaopeng Qin, Deshun Yin, Baozhi Han, Mingyuan Tian, Xuan Chen, Liangzhu Ma and Lirui Li |
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Vol. 20 (2025), No. 1, 33–53
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Abstract |
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A novel meshless global radial basis reproducing kernel particle method (GRB-RKPM) is established based on the global radial basis function (GRBF) and the reproducing kernel particle method (RKPM). Subsequently, GRB-RKPM is used to solve the elastic mechanical of bidirectional functionally graded materials (BDFGMs). The influence of the shape parameter , the shape parameter , the scale parameter , and the penalty factor on the GRB-RKPM solving the elastic mechanical of BDFGMs is analyzed, and the optimal value is given. The effectiveness of the GRB-RKPM in solving the elastic mechanical of BDFGMs is verified by comparing solutions calculated by the GRB-RKPM with reference solutions calculated by the finite element method (FEM). Compared with the RKPM, the GRB-RKPM converges faster. The GRB-RKPM solutions are compared with the local radial basis reproducing kernel particle method (LRB-RKPM) solutions and the RKPM solutions. It is proved that the GRB-RKPM has higher computational accuracy. The deformation behavior of the elastic mechanical of BDFGMs under different gradient indexes is studied. |
Keywords
meshless method, global radial basis function, reproducing
kernel particle method, bidirectional functionally graded
materials, elastic mechanical problem
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Milestones
Received: 10 October 2024
Revised: 11 November 2024
Accepted: 25 January 2025
Published: 3 March 2025
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Authors |
| Shaopeng Qin | |
| College of Mechanics and Engineering
Science Hohai University Nanjing, 211100 China |
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| Deshun Yin | |
| College of Mechanics and Engineering
Science Hohai University Nanjing, 211100 China |
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| Baozhi Han | |
| College of Mechanics and Engineering
Science Hohai University Nanjing, 211100 China |
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| Mingyuan Tian | |
| College of Mechanics and Engineering
Science Hohai University Nanjing, 211100 China |
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| Xuan Chen | |
| College of Mechanics and Engineering
Science Hohai University Nanjing, 211100 China |
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| Liangzhu Ma | |
| College of Mechanics and Engineering
Science Hohai University Nanjing, 211100 China |
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| Lirui Li | |
| College of Mechanics and Engineering
Science Hohai University Nanjing, 211100 China |
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| © 2025 MSP (Mathematical Sciences Publishers). |
