Joined Influences of Nonlinearity and Dilation on the Ultimate Pullout Capacity of Horizontal Shallow Plate Anchors by Energy Dissipation Method
Publication: International Journal of Geomechanics
Volume 11, Issue 3
Abstract
The ultimate pullout capacity (UPC) and the shape modification factors of horizontal plate anchors were calculated by using upper-bound limit analysis, in which the assumptions of both a nonlinear failure criterion and the nonassociated flow rule were made upon the soil mass above the anchor plate. Three types of anchor plates, including strip anchors, circle anchors, and rectangle anchors, and the corresponding failure mechanisms are taken into consideration. The anchor breakout factors were obtained according to the principle of virtual power, which was realized numerically by the nonlinear sequential quadratic programming algorithm. The shape modification factors for different kinds of anchors were given through a multiple nonlinear regression method. Numerical experiments demonstrate the validity of the solutions by reducing the solutions (nonlinear criterion and nonassociated flow rule) into their special cases (linear criterion and associated flow rule), which matches well with existing work. The dilation and nonlinearity of soil mass should be considered because it plays a remarkable role in the UPC of anchor plates.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writers are grateful to T. Zhang, X. L. Yang, and F. Huang for their assistance. The present work was sponsored by the Nation West Traffic Construction Science and Technology Item of China (No. UNSPECIFIED2006318802111) and the Outstanding Doctoral Dissertation Support Foundation of Central South University (No. UNSPECIFIED2008yb004). The financial support is greatly appreciated.
References
Agar, J. G., Morgenstern, N. R., and Scott, J. (1987). “Shear strength and stress-strain behavior of Athabasca oil sand at elevated temperatures and pressure.” Can. Geotech. J., 24(1), 1–10.
Chen, W. F. (1975). Limit analysis and soil plasticity, Elsevier Science, Amsterdam.
Chen, W. F., and Liu, X. L. (1990). Limit analysis in soil mechanics, Elsevier Science, Amsterdam.
Davis, E. H. (1968). Theories of plasticity and the failure of soil masses, Butterworths, London, 341–380.
Dickin, E. A., and Laman, M. (2007). “Uplift response of strip anchors in cohesionless soil.” Adv. Eng. Softw., 38, 618–625.
Drescher, A., and Christopoulos, C. (1988). “Limit analysis slope stability with nonlinear yield condition.” Int. J. Numer. Anal. Meth. Geomech., 12, 341–345.
Drescher, A., and Detournay, E. (1993). “Limit load in translational failure mechanics for associative and non-associative materials.” Géotechnique, 43(3), 443–456.
Ghaly, A., and Hanna, A. (1994). “Ultimate pullout resistance of single vertical anchors.” Can. Geotech. J., 31, 661–672.
Ilamparuthi, K., Dickin, E. A., and Muthukrishnaiah, K. (2002). “Experimental investigation of the uplift capacity of circular plate anchors in sand.” Can. Geotech. J., 39, 648–664.
Merifield, R. S., Lyamin, A. V., and Sloan, S. W. (2006). “Three-dimensional lower bound solutions for the stability of plate anchors in sand.” Géotechnique, 56(2), 123–132.
Meyerhof, G. G., and Adams, J. I. (1968). “Ultimate uplift capacity of foundation.” Can. Geotech. J., 5(4), 225–244.
Murray, E. J., and Geddes, J. D. (1987). “Uplift of anchor plates in sand.” J. Geotech. Eng., 113(3), 202–215.
Murray, E. J., and Geddes, J. D. (1989). “Resistance of passive inclined anchors in cohensionless medium.” Géotechnique, 39(3), 417–431.
Rowe, R. K., and Davis, E. H. (1982). “The behaviour of anchor plates in sand.” Géotechnique, 32(1), 9–23.
Shi, T. F., and Zhao, L. H. (2011). “Upper bound analysis for the ultimate pullout capacity of vertically loaded strip plate anchors considering the nonlinearity of shear strength characteristics of geomaterials.” Electron. J. Geotech. Eng., 16(G), 729–739.
Simoni, A., and Houlsby, G. T. (2006). “The direct shear strength and dilatancy of sand-gravel mixtures.” Geotech. Geol. Eng., 24(3), 523–549.
Wang, Y. J., Yin, J. H., and Lee, C. F. (2001). “The influence of a non-associated flow rule on the calculation of the factor of safety of the soil slopes.” Int. J. Numer. Anal. Meth. Geomech., 25(13), 1351–1359.
Yang, X. L., et al. (2007). “Influences of nonassociated flow rules on seismic bearing capacity factors of strip footing on soil slope by energy dissipation method.” J. Central South Univ. Technol., 14(6), 842–847.
Yang, X. L., and Huang, H. (2009). “Slope stability analysis considering joined influences of nonlinearity and dilation.” J. Central South Univ. Technol., 16(2), 292–296.
Yang, X. L., and Yin, J. H. (2006). “Estimation of seismic passive earth pressure with non-linear failure criterion.” Eng. Struct., 28(3), 342–348.
Zhang, X. J., and Chen, W. F. (1987). “Stability analysis of slopes with general nonlinear failure criterion.” Int. J. Numer. Anal. Methods Geomech., 11(1), 33–50.
Zhao, L. H., Li, L., Yang, F., Dan, H. C., and Yang, X. L. (2009a). “Study on the ultimate pullout capacity and shape modification factors of horizontal plate anchors based on nonlinear Mohr-Coulomb failure criterion” Proc., 2009 GeoHunan Int. Conf. (GSP 192), ASCE, Reston, VA, 95–101.
Zhao, L. H., Li, L., Yang, X. L., Dan, H. C., and Zou, J. F. (2009b). “Calculating method of upper bound for ultimate pullout capacity of vertically loaded strip plate anchors based on nonlinear Mohr-Coulomb failure criterion.” J. Central South Univ. Technol., 40(5), 1444–1450 (in Chinese).
Zienkiewicz, O. C., Humpheson, C., and Lewis, R. W. (1975). “Associated and non-associated visco-plasticity and plasticity in soil mechanics.” Géotechnique, 25, 671–689.
Information & Authors
Information
Published In
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Dec 29, 2009
Accepted: Jun 24, 2010
Published online: Jul 1, 2010
Published in print: Jun 1, 2011
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.