Natural Element Method for Biot Plane Consolidation Analysis

doi:10.16183/j.cnki.jsjtu.2008.11.028

Abstract

Abstract:

The natural element method (NEM) is a novel numerical computational method for solving partial differential equation. It is built upon the notion of the natural neighbor interpolation, which is based on Voronoi diagram and Delaunay triangulation. This paper focused on its application in solving Biot consolidation equation. The discrete form of control equation was obtained with classical variation principle; the algorithm routine for 2D condition was also elaborated. The results of numerical examples show that the results of NEM are in concordance with the analytical solution and the precision is higher than that of FEM.

Key words: natural element method (NEM), Biot consolidation equation, natural neighbor interpolation, classical variation principle

CLC Number:

TU43
O241

CHU Yan-biao, WANG Jian-hua. Natural Element Method for Biot Plane Consolidation Analysis[J]. Journal of Shanghai Jiao Tong University, 2008, 42(11): 1880-1883,1887.

Figures/Tables 6

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Tab. 1

References 10

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深度/m	14 d		42 d		70 d		140 d
深度/m	FEM	NEM	FEM	NEM	FEM	NEM	FEM	NEM
-1	-7.86	-1.78	-6.01	-1.09	-4.09	0.22	-0.12	0.01
-2	-3.29	2.78	-3.67	0.29	-3.69	-1.05	3.06	-0.34
-3	-0.26	0.98	-1.17	0.23	-0.98	0.74	-1.83	0.20
-4	0.19	1.75	-0.74	0.49	-0.82	-0.11	0.83	-0.09
-5	0.75	1.27	-0.47	0.59	-0.69	0.50	-0.94	0.11
-6	1.14	0.78	0.24	0.51	-0.05	0.29	-0.27	0.03
-7	0.99	0.64	0.55	0.50	0.25	0.28	-0.02	0.00
-8	0.70	0.59	0.34	0.55	0.09	0.42	-0.35	0.04
-9	0.99	0.84	0.64	0.62	0.37	0.40	-0.03	0.00
-10	0.61	1.01	0.36	0.65	0.23	0.50	-0.11	0.01