A Meshfree Approach for Transient Heat Conduction Analysis of Nonlinear Functionally Graded Materials
In this paper, an alternative meshfree approach is presented for transient heat conduction analysis of nonlinear functionally graded materials (FGMs). The main idea behind the introduced approach is to use collocation in local domains containing of sets of regular or scattered nodes and approximatin...
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World Scientific Publishing Co. Pte Ltd
2018
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my.utp.eprints.210902019-02-26T03:17:20Z A Meshfree Approach for Transient Heat Conduction Analysis of Nonlinear Functionally Graded Materials Hidayat, M.I.P. Ariwahjoedi, B. Parman, S. Irawan, S. In this paper, an alternative meshfree approach is presented for transient heat conduction analysis of nonlinear functionally graded materials (FGMs). The main idea behind the introduced approach is to use collocation in local domains containing of sets of regular or scattered nodes and approximating the solution by B-spline basis functions. It combines the favorable properties of B-spline basis functions in having arbitrary degree for better resolution of solution, partition of unity and the Kronecker delta properties with low computational effort of collocation. The method is called as local B-spline collocation method. It is mathematically simple, efficient to program and truly meshless. The method is applied for analyzing transient heat conduction in a wide range of FGMs with various material gradation models, in both 2D and 3D domains. The results obtained agree well with those computed by analytical solution and other well-known methods, confirming the suitability and efficacy of the presented scheme. © 2018 World Scientific Publishing Company. World Scientific Publishing Co. Pte Ltd 2018 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85020737277&doi=10.1142%2fS021987621850007X&partnerID=40&md5=14177538fd108606da1e6c1c1331ea73 Hidayat, M.I.P. and Ariwahjoedi, B. and Parman, S. and Irawan, S. (2018) A Meshfree Approach for Transient Heat Conduction Analysis of Nonlinear Functionally Graded Materials. International Journal of Computational Methods, 15 (2). http://eprints.utp.edu.my/21090/ |
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In this paper, an alternative meshfree approach is presented for transient heat conduction analysis of nonlinear functionally graded materials (FGMs). The main idea behind the introduced approach is to use collocation in local domains containing of sets of regular or scattered nodes and approximating the solution by B-spline basis functions. It combines the favorable properties of B-spline basis functions in having arbitrary degree for better resolution of solution, partition of unity and the Kronecker delta properties with low computational effort of collocation. The method is called as local B-spline collocation method. It is mathematically simple, efficient to program and truly meshless. The method is applied for analyzing transient heat conduction in a wide range of FGMs with various material gradation models, in both 2D and 3D domains. The results obtained agree well with those computed by analytical solution and other well-known methods, confirming the suitability and efficacy of the presented scheme. © 2018 World Scientific Publishing Company. |
| format |
Article |
| author |
Hidayat, M.I.P. Ariwahjoedi, B. Parman, S. Irawan, S. |
| spellingShingle |
Hidayat, M.I.P. Ariwahjoedi, B. Parman, S. Irawan, S. A Meshfree Approach for Transient Heat Conduction Analysis of Nonlinear Functionally Graded Materials |
| author_facet |
Hidayat, M.I.P. Ariwahjoedi, B. Parman, S. Irawan, S. |
| author_sort |
Hidayat, M.I.P. |
| title |
A Meshfree Approach for Transient Heat Conduction Analysis of Nonlinear Functionally Graded Materials |
| title_short |
A Meshfree Approach for Transient Heat Conduction Analysis of Nonlinear Functionally Graded Materials |
| title_full |
A Meshfree Approach for Transient Heat Conduction Analysis of Nonlinear Functionally Graded Materials |
| title_fullStr |
A Meshfree Approach for Transient Heat Conduction Analysis of Nonlinear Functionally Graded Materials |
| title_full_unstemmed |
A Meshfree Approach for Transient Heat Conduction Analysis of Nonlinear Functionally Graded Materials |
| title_sort |
meshfree approach for transient heat conduction analysis of nonlinear functionally graded materials |
| publisher |
World Scientific Publishing Co. Pte Ltd |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85020737277&doi=10.1142%2fS021987621850007X&partnerID=40&md5=14177538fd108606da1e6c1c1331ea73 http://eprints.utp.edu.my/21090/ |
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13.211869 |