Wave Motion Numerical Simulation of Artificial Boundary Conditions and its Application in Finite Element Software

Abstract:

Artificial boundaries are developed by means of theory of elastic wave motion. The related theory of visco-elastic artificial boundary and expressions of parameters are introduced. And the stability of the visco-elastic artificial boundary is verified combining with numerical example of plane problem by using large-scale finite element software. The results show that the boundary can simulate the energy radiation effect of semi-infinite foundation and elastic restoring force at the same time. In addition, the programming of the boundary in finite element software is easy to implement, the calculation results using the boundary are stable and the boundary has a broad application in engineering.

• Periodical: Applied Mechanics and Materials (Volume 378)
• Pages: 639-643
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.378.639
• Online since: August 2013
• Authors: Qiang Pei, Shuang Wu
• Keywords: Artificial Boundary, Visco-Elastic Artificial Boundary, Wave Motion

References

[1] QIU Liu-chao, JIN Feng. Study on method of earthquake input and artificial boundary c-onditions for seismic soil-structure interaction analysis [J]. Rock and Soil Mechanics, 2006, 27(9): 1501-1504.

[2] Qiu Liu-chao, Liu Hua, Jin Feng. Time-domain finite-element analysis of two dimensional seismic soil-structure interactions [J]. Engineering mechanics, 2006, 23(9): 114-119.

[3] Kausel, E. Local Transmitting Boundaries [J]. Engng Mech, 1988, 114(6): 1011~1027.

DOI: 10.1061/(asce)0733-9399(1988)114:6(1011)

[4] Clayton R, Engquist B. Absorbing Boundary Conditions for Acoustic and Elastic Wave Equations [J]. Bull. Seism. Soc. Amer., 1977, 76 (2): 1529~1540.

DOI: 10.1785/bssa0670061529

[5] Liao Zhen-peng, Huang Kong-liang, Yang Bai-po. The transient wave transmitting boundary [J]. China Science(A album), 1984, 26 (6): 50~56.

[6] Deeks A J, Randolph M.F. Axisymmetric Time-domain Transmitting Boundaries [J]. Journal of Engineering Mechanics, ASCE, 1994, 120 (1): 25~42.

DOI: 10.1061/(asce)0733-9399(1994)120:1(25)

[7] Lysmer J, Kuhlemeyer R L. Finite dynamic model for infinite media [J]. Journal of the Engineering Mechanics Division, ASCE, 1969, 95(1): 859-877.

DOI: 10.1061/jmcea3.0001144

[8] LIU Jing-bo, GU Yin, DU Yi-xin. Consistent visco-elastic artificial boundaries and visco-elastic boundary elements [J]. Chinese Journal of Geotechnical Engineering, 2006, 28(9): 1071-1075.

[9] Liu Jingbo, Lu Yandong. A direct method for analysis of dynamic soil-structure interaction based on interface idea [M]. In: Zhang Chuhan, Wolf J P, edited, Dynamic Soil-Structure Interaction. Academic Press, 1997. 258~273.

DOI: 10.1016/s0165-1250(98)80018-7

[10] Du Xinghua, Gao Yang. Application of viscoelastic artificial boundary in the finite element analysis [J]. Low Temperature Architecture Technology, 2012, (1): 76-78.

[11] Liu Jing-bo, Wang Zhen-yu, Zhang Ke-feng. Considering soil-structure interaction of large dynamic machine foundation of 3 D finite element analysis [J]. Engineering mechanics, 2002, 19(3): 34-38.

[12] Liu Jing-bo, DU Yi-xin, YAN Qiu-shi. Visco-elastic and the ground motion input implement in the general finite element software [J]. Journal of Disaster Prevention and Mitigation Engineering, 2007, (4).