Softening Materials Analysis by Combining Adaptive Mesh Generation Algotithm with Arc-Length Method

doi:10.16183/j.cnki.jsjtu.2003.12.024

Abstract

Abstract:

The paper presented a new method to implement the elastoplastic FEM analysis of softening materials by combining the algorithm of adaptive mesh generation with the algorithm of arc-length control procedures. The integration of elastoplasticity, arc-length control procedures and the algorithm of adaptive mesh generation were focused on. The flow chart of combining the algorithm of adaptive mesh generation with the algorithm of arc-length control procedures was offered. The numerical results confirm the efficiency of the present analysis method.

Key words: soften, integration of elastoplasticity, arc-length method, elastic-plastic, finite elements analysis

CLC Number:

TU470

CHEN Xiao-feng, WANG Jian-hua, CUI Hai-yong. Softening Materials Analysis by Combining Adaptive Mesh Generation Algotithm with Arc-Length Method[J]. Journal of Shanghai Jiao Tong University, 2003, 37(12): 1916-1918.

Figures/Tables 6

Fig. 1

Fig. 2

Fig. 3

Tab. 1

Tab. 2

Fig. 4

LQ	q/kPa	σ_x	e_y	e_z	e₁	e₃
1	5.0	5.000	5.000	2.900	5.000	5.000
2	15.0	15.000	15.000	8.700	15.000	15.000
3	25.0	25.000	25.000	14.500	25.000	25.000
4	30.0	30.000	30.000	17.400	30.000	30.000
5	35.0	35.000	35.000	20.300	35.000	35.000
6	40.0	40.000	40.000	23.200	40.000	40.000
7	42.0	42.000	42.000	22.586	42.000	42.000
8	41.3	41.314	41.314	21.224	41.314	41.314
9	39.7	39.725	39.725	19.010	39.725	39.725
10	36.4	36.453	36.453	15.086	36.453	36.453
11	34.7	34.685	34.685	12.390	34.685	34.685

LQ	q/kPa	×10⁶	u_y /m
1	5.0	0	- 0.813
2	15.0	0	- 2.44
3	25.0	0	- 4.06
4	30.0	0	- 2.48
5	35.0	159	- 6.09
6	40.0	308	- 7.15
7	42.0	381	- 7.47
8	41.3	588	- 7.71
9	39.7	865	- 7.92
10	36.4	1 620	- 8.13
11	34.7	1 660	- 8.45

[1]	郑宏. 岩土力学中的几类非线性问题[D]. 武汉: 中国科学院武汉岩土力学研究院, 2000.
[2]	Crisfields M A. An arc-length method including line searches and accelerations[J]. International Journal of Numerical Methods in Engineering, 1983, 19: 1269-1289.
[3]	Rikes E. An incremental approach to the solution of snapping and buckling problems[J]. International Journal of Solids and Structures, 1979, 15: 234-245.
[4]	钟峻彬. 自适应网格加密及其在岩土工程中的应用[D]. 上海: 上海交通大学建筑工程与力学学院, 1999.
[5]	钱家欢, 殷宗泽.土工原理与计算[M]. 北京: 中国水电水利出版社, 1996.

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