Research on 3 Dimension Manifold Method and its application

Y. Wu; G. Chen; Z. Jiang; Q. Li; W. Wei; X. Liu; J. Zhao

Research on 3 Dimension Manifold Method and its application

Y. Wu, G. Chen, Z. Jiang, Q. Li, W. Wei, X. Liu, J. Zhao

Division for Experimental Natural Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

On the research of 3-Dimension Numeric Manifold Method (3DNMM), we discuss the characteristics of simplex integration algorithm and analyze the accurate character of 3DNMM results. Firstly, we analyze the accuracy of the simplex integration through comparing the theoretical results with calculated results, which parameters include the volume and center of gravity. The results show that the relative error between calculated results and theoretical results is about 10 ^-15-10 ^-14, and the graphics conditions have minimal impact on integral results. Then, we compare the calculation results from 3DNMM with theoretical results, which include motion of a free falling body, deformation of the cantilever beam and slipping on the tilt surface. These comparison analysis shows that 3DNMM has the characteristics of high precision and can reach good simulated effect in limited elements.

Original language	English
Title of host publication	Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10
Pages	281-288
Number of pages	8
Publication status	Published - 2012
Event	10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10 - Honolulu, HI, United States Duration: Dec 6 2011 → Dec 8 2011

Publication series

Name	Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10

Other

Other	10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10
Country	United States
City	Honolulu, HI
Period	12/6/11 → 12/8/11

All Science Journal Classification (ASJC) codes

Geotechnical Engineering and Engineering Geology
Numerical Analysis

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Wu, Y., Chen, G., Jiang, Z., Li, Q., Wei, W., Liu, X., & Zhao, J. (2012). Research on 3 Dimension Manifold Method and its application. In Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10 (pp. 281-288). (Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10).

Research on 3 Dimension Manifold Method and its application. / Wu, Y.; Chen, G.; Jiang, Z.; Li, Q.; Wei, W.; Liu, X.; Zhao, J.

Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10. 2012. p. 281-288 (Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Wu, Y, Chen, G, Jiang, Z, Li, Q, Wei, W, Liu, X & Zhao, J 2012, Research on 3 Dimension Manifold Method and its application. in Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10. Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10, pp. 281-288, 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10, Honolulu, HI, United States, 12/6/11.

Wu Y, Chen G, Jiang Z, Li Q, Wei W, Liu X et al. Research on 3 Dimension Manifold Method and its application. In Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10. 2012. p. 281-288. (Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10).

Wu, Y. ; Chen, G. ; Jiang, Z. ; Li, Q. ; Wei, W. ; Liu, X. ; Zhao, J. / Research on 3 Dimension Manifold Method and its application. Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10. 2012. pp. 281-288 (Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10).

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AU - Wei, W.

AU - Liu, X.

AU - Zhao, J.

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AB - On the research of 3-Dimension Numeric Manifold Method (3DNMM), we discuss the characteristics of simplex integration algorithm and analyze the accurate character of 3DNMM results. Firstly, we analyze the accuracy of the simplex integration through comparing the theoretical results with calculated results, which parameters include the volume and center of gravity. The results show that the relative error between calculated results and theoretical results is about 10 -15-10 -14, and the graphics conditions have minimal impact on integral results. Then, we compare the calculation results from 3DNMM with theoretical results, which include motion of a free falling body, deformation of the cantilever beam and slipping on the tilt surface. These comparison analysis shows that 3DNMM has the characteristics of high precision and can reach good simulated effect in limited elements.

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