A gradient smoothing method (GSM) with directional correction for solid mechanics problems
Abstract A novel gradient smoothing method (GSM) is proposed in this paper, in which a gradient smoothing together with a directional derivative technique is adopted to develop the first- and second-order derivative approximations for a node of interest by systematically computing weights for a set...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Liu, G. R. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2007 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Verlag 2007 |
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| Übergeordnetes Werk: |
Enthalten in: Computational mechanics - Springer-Verlag, 1986, 41(2007), 3 vom: 12. Juni, Seite 457-472 |
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| Übergeordnetes Werk: |
volume:41 ; year:2007 ; number:3 ; day:12 ; month:06 ; pages:457-472 |
| Links: |
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| DOI / URN: |
10.1007/s00466-007-0192-8 |
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| Katalog-ID: |
OLC2054917729 |
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| 520 | |a Abstract A novel gradient smoothing method (GSM) is proposed in this paper, in which a gradient smoothing together with a directional derivative technique is adopted to develop the first- and second-order derivative approximations for a node of interest by systematically computing weights for a set of field nodes surrounding. A simple collocation procedure is then applied to the governing strong-from of system equations at each node scattered in the problem domain using the approximated derivatives. In contrast with the conventional finite difference and generalized finite difference methods with topological restrictions, the GSM can be easily applied to arbitrarily irregular meshes for complex geometry. Several numerical examples are presented to demonstrate the computational accuracy and stability of the GSM for solid mechanics problems with regular and irregular nodes. The GSM is examined in detail by comparison with other established numerical approaches such as the finite element method, producing convincing results. | ||
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| 650 | 4 | |a Gradient smoothing method (GSM) | |
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| 650 | 4 | |a Numerical analysis | |
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| 700 | 1 | |a Li, G. Y. |4 aut | |
| 700 | 1 | |a Han, X. |4 aut | |
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10.1007/s00466-007-0192-8 doi (DE-627)OLC2054917729 (DE-He213)s00466-007-0192-8-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Liu, G. R. verfasserin aut A gradient smoothing method (GSM) with directional correction for solid mechanics problems 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Verlag 2007 Abstract A novel gradient smoothing method (GSM) is proposed in this paper, in which a gradient smoothing together with a directional derivative technique is adopted to develop the first- and second-order derivative approximations for a node of interest by systematically computing weights for a set of field nodes surrounding. A simple collocation procedure is then applied to the governing strong-from of system equations at each node scattered in the problem domain using the approximated derivatives. In contrast with the conventional finite difference and generalized finite difference methods with topological restrictions, the GSM can be easily applied to arbitrarily irregular meshes for complex geometry. Several numerical examples are presented to demonstrate the computational accuracy and stability of the GSM for solid mechanics problems with regular and irregular nodes. The GSM is examined in detail by comparison with other established numerical approaches such as the finite element method, producing convincing results. Numerical methods Gradient smoothing method (GSM) Meshfree method Solid mechanics Numerical analysis Zhang, Jian aut Lam, K. Y. aut Li, Hua aut Xu, G. aut Zhong, Z. H. aut Li, G. Y. aut Han, X. aut Enthalten in Computational mechanics Springer-Verlag, 1986 41(2007), 3 vom: 12. Juni, Seite 457-472 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:41 year:2007 number:3 day:12 month:06 pages:457-472 https://doi.org/10.1007/s00466-007-0192-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_21 GBV_ILN_23 GBV_ILN_40 GBV_ILN_70 GBV_ILN_100 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4323 AR 41 2007 3 12 06 457-472 |
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10.1007/s00466-007-0192-8 doi (DE-627)OLC2054917729 (DE-He213)s00466-007-0192-8-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Liu, G. R. verfasserin aut A gradient smoothing method (GSM) with directional correction for solid mechanics problems 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Verlag 2007 Abstract A novel gradient smoothing method (GSM) is proposed in this paper, in which a gradient smoothing together with a directional derivative technique is adopted to develop the first- and second-order derivative approximations for a node of interest by systematically computing weights for a set of field nodes surrounding. A simple collocation procedure is then applied to the governing strong-from of system equations at each node scattered in the problem domain using the approximated derivatives. In contrast with the conventional finite difference and generalized finite difference methods with topological restrictions, the GSM can be easily applied to arbitrarily irregular meshes for complex geometry. Several numerical examples are presented to demonstrate the computational accuracy and stability of the GSM for solid mechanics problems with regular and irregular nodes. The GSM is examined in detail by comparison with other established numerical approaches such as the finite element method, producing convincing results. Numerical methods Gradient smoothing method (GSM) Meshfree method Solid mechanics Numerical analysis Zhang, Jian aut Lam, K. Y. aut Li, Hua aut Xu, G. aut Zhong, Z. H. aut Li, G. Y. aut Han, X. aut Enthalten in Computational mechanics Springer-Verlag, 1986 41(2007), 3 vom: 12. Juni, Seite 457-472 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:41 year:2007 number:3 day:12 month:06 pages:457-472 https://doi.org/10.1007/s00466-007-0192-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_21 GBV_ILN_23 GBV_ILN_40 GBV_ILN_70 GBV_ILN_100 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4323 AR 41 2007 3 12 06 457-472 |
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10.1007/s00466-007-0192-8 doi (DE-627)OLC2054917729 (DE-He213)s00466-007-0192-8-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Liu, G. R. verfasserin aut A gradient smoothing method (GSM) with directional correction for solid mechanics problems 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Verlag 2007 Abstract A novel gradient smoothing method (GSM) is proposed in this paper, in which a gradient smoothing together with a directional derivative technique is adopted to develop the first- and second-order derivative approximations for a node of interest by systematically computing weights for a set of field nodes surrounding. A simple collocation procedure is then applied to the governing strong-from of system equations at each node scattered in the problem domain using the approximated derivatives. In contrast with the conventional finite difference and generalized finite difference methods with topological restrictions, the GSM can be easily applied to arbitrarily irregular meshes for complex geometry. Several numerical examples are presented to demonstrate the computational accuracy and stability of the GSM for solid mechanics problems with regular and irregular nodes. The GSM is examined in detail by comparison with other established numerical approaches such as the finite element method, producing convincing results. Numerical methods Gradient smoothing method (GSM) Meshfree method Solid mechanics Numerical analysis Zhang, Jian aut Lam, K. Y. aut Li, Hua aut Xu, G. aut Zhong, Z. H. aut Li, G. Y. aut Han, X. aut Enthalten in Computational mechanics Springer-Verlag, 1986 41(2007), 3 vom: 12. Juni, Seite 457-472 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:41 year:2007 number:3 day:12 month:06 pages:457-472 https://doi.org/10.1007/s00466-007-0192-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_21 GBV_ILN_23 GBV_ILN_40 GBV_ILN_70 GBV_ILN_100 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4323 AR 41 2007 3 12 06 457-472 |
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10.1007/s00466-007-0192-8 doi (DE-627)OLC2054917729 (DE-He213)s00466-007-0192-8-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Liu, G. R. verfasserin aut A gradient smoothing method (GSM) with directional correction for solid mechanics problems 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Verlag 2007 Abstract A novel gradient smoothing method (GSM) is proposed in this paper, in which a gradient smoothing together with a directional derivative technique is adopted to develop the first- and second-order derivative approximations for a node of interest by systematically computing weights for a set of field nodes surrounding. A simple collocation procedure is then applied to the governing strong-from of system equations at each node scattered in the problem domain using the approximated derivatives. In contrast with the conventional finite difference and generalized finite difference methods with topological restrictions, the GSM can be easily applied to arbitrarily irregular meshes for complex geometry. Several numerical examples are presented to demonstrate the computational accuracy and stability of the GSM for solid mechanics problems with regular and irregular nodes. The GSM is examined in detail by comparison with other established numerical approaches such as the finite element method, producing convincing results. Numerical methods Gradient smoothing method (GSM) Meshfree method Solid mechanics Numerical analysis Zhang, Jian aut Lam, K. Y. aut Li, Hua aut Xu, G. aut Zhong, Z. H. aut Li, G. Y. aut Han, X. aut Enthalten in Computational mechanics Springer-Verlag, 1986 41(2007), 3 vom: 12. Juni, Seite 457-472 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:41 year:2007 number:3 day:12 month:06 pages:457-472 https://doi.org/10.1007/s00466-007-0192-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_21 GBV_ILN_23 GBV_ILN_40 GBV_ILN_70 GBV_ILN_100 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4323 AR 41 2007 3 12 06 457-472 |
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10.1007/s00466-007-0192-8 doi (DE-627)OLC2054917729 (DE-He213)s00466-007-0192-8-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Liu, G. R. verfasserin aut A gradient smoothing method (GSM) with directional correction for solid mechanics problems 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Verlag 2007 Abstract A novel gradient smoothing method (GSM) is proposed in this paper, in which a gradient smoothing together with a directional derivative technique is adopted to develop the first- and second-order derivative approximations for a node of interest by systematically computing weights for a set of field nodes surrounding. A simple collocation procedure is then applied to the governing strong-from of system equations at each node scattered in the problem domain using the approximated derivatives. In contrast with the conventional finite difference and generalized finite difference methods with topological restrictions, the GSM can be easily applied to arbitrarily irregular meshes for complex geometry. Several numerical examples are presented to demonstrate the computational accuracy and stability of the GSM for solid mechanics problems with regular and irregular nodes. The GSM is examined in detail by comparison with other established numerical approaches such as the finite element method, producing convincing results. Numerical methods Gradient smoothing method (GSM) Meshfree method Solid mechanics Numerical analysis Zhang, Jian aut Lam, K. Y. aut Li, Hua aut Xu, G. aut Zhong, Z. H. aut Li, G. Y. aut Han, X. aut Enthalten in Computational mechanics Springer-Verlag, 1986 41(2007), 3 vom: 12. Juni, Seite 457-472 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:41 year:2007 number:3 day:12 month:06 pages:457-472 https://doi.org/10.1007/s00466-007-0192-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_21 GBV_ILN_23 GBV_ILN_40 GBV_ILN_70 GBV_ILN_100 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4323 AR 41 2007 3 12 06 457-472 |
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Liu, G. R. @@aut@@ Zhang, Jian @@aut@@ Lam, K. Y. @@aut@@ Li, Hua @@aut@@ Xu, G. @@aut@@ Zhong, Z. H. @@aut@@ Li, G. Y. @@aut@@ Han, X. @@aut@@ |
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530 004 VZ 11 ssgn A gradient smoothing method (GSM) with directional correction for solid mechanics problems Numerical methods Gradient smoothing method (GSM) Meshfree method Solid mechanics Numerical analysis |
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ddc 530 ssgn 11 misc Numerical methods misc Gradient smoothing method (GSM) misc Meshfree method misc Solid mechanics misc Numerical analysis |
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ddc 530 ssgn 11 misc Numerical methods misc Gradient smoothing method (GSM) misc Meshfree method misc Solid mechanics misc Numerical analysis |
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ddc 530 ssgn 11 misc Numerical methods misc Gradient smoothing method (GSM) misc Meshfree method misc Solid mechanics misc Numerical analysis |
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A gradient smoothing method (GSM) with directional correction for solid mechanics problems |
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A gradient smoothing method (GSM) with directional correction for solid mechanics problems |
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Liu, G. R. |
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Computational mechanics |
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2007 |
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Liu, G. R. Zhang, Jian Lam, K. Y. Li, Hua Xu, G. Zhong, Z. H. Li, G. Y. Han, X. |
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530 004 |
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a gradient smoothing method (gsm) with directional correction for solid mechanics problems |
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A gradient smoothing method (GSM) with directional correction for solid mechanics problems |
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Abstract A novel gradient smoothing method (GSM) is proposed in this paper, in which a gradient smoothing together with a directional derivative technique is adopted to develop the first- and second-order derivative approximations for a node of interest by systematically computing weights for a set of field nodes surrounding. A simple collocation procedure is then applied to the governing strong-from of system equations at each node scattered in the problem domain using the approximated derivatives. In contrast with the conventional finite difference and generalized finite difference methods with topological restrictions, the GSM can be easily applied to arbitrarily irregular meshes for complex geometry. Several numerical examples are presented to demonstrate the computational accuracy and stability of the GSM for solid mechanics problems with regular and irregular nodes. The GSM is examined in detail by comparison with other established numerical approaches such as the finite element method, producing convincing results. © Springer Verlag 2007 |
| abstractGer |
Abstract A novel gradient smoothing method (GSM) is proposed in this paper, in which a gradient smoothing together with a directional derivative technique is adopted to develop the first- and second-order derivative approximations for a node of interest by systematically computing weights for a set of field nodes surrounding. A simple collocation procedure is then applied to the governing strong-from of system equations at each node scattered in the problem domain using the approximated derivatives. In contrast with the conventional finite difference and generalized finite difference methods with topological restrictions, the GSM can be easily applied to arbitrarily irregular meshes for complex geometry. Several numerical examples are presented to demonstrate the computational accuracy and stability of the GSM for solid mechanics problems with regular and irregular nodes. The GSM is examined in detail by comparison with other established numerical approaches such as the finite element method, producing convincing results. © Springer Verlag 2007 |
| abstract_unstemmed |
Abstract A novel gradient smoothing method (GSM) is proposed in this paper, in which a gradient smoothing together with a directional derivative technique is adopted to develop the first- and second-order derivative approximations for a node of interest by systematically computing weights for a set of field nodes surrounding. A simple collocation procedure is then applied to the governing strong-from of system equations at each node scattered in the problem domain using the approximated derivatives. In contrast with the conventional finite difference and generalized finite difference methods with topological restrictions, the GSM can be easily applied to arbitrarily irregular meshes for complex geometry. Several numerical examples are presented to demonstrate the computational accuracy and stability of the GSM for solid mechanics problems with regular and irregular nodes. The GSM is examined in detail by comparison with other established numerical approaches such as the finite element method, producing convincing results. © Springer Verlag 2007 |
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A gradient smoothing method (GSM) with directional correction for solid mechanics problems |
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