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Antão, A. N., M. Vicente da Silva, N. Monteiro, and N. Deusdado. "Upper and lower bounds for three-dimensional undrained stability of shallow tunnels." Transportation Geotechnics. 27 (2021): 100491. AbstractWebsite

This paper deals with the determination of upper and lower bounds for the three-dimensional undrained stability of shallow tunnels. The tunnel is circular and a distance between its face and its lining is considered. The soil shear strength is modeled using the Tresca criterion. Results of the upper and lower bounds of the stability number are presented, for several geometrical and resistance configurations and their comparison with previous results is made, showing the clear improvement obtained. Finally, equations approaching the stability number are proposed.

Antão, A. N., M. Vicente da Silva, and N. M. C. Guerra. "Determination of depth factors for the bearing capacity of shallow foundations in sand." Soils and Rocks. 33 (2010): 47-52. Abstract
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Antão, Armando N., Nuno Costa M. da Guerra, Manuel Matos Fernandes, and António Cardoso. "Influence of tension cut-off on the stability of anchored concrete soldier-pile walls in clay." Canadian Geotechnical Journal. 45 (2008): 1036-1044. AbstractWebsite

A previous paper studied the stability of soldier-pile walls in clay under vertical loading using upper bound analyses. A classical Tresca yield criterion was assumed in that analysis. This paper extends that study by considering a tension truncated Tresca yield criterion in an upper bound numerical analysis of the problem. It shows that assuming zero tension soil strength has a significant influence on the values of the minimum soldier-pile resistance required to ensure stability.

Antão, Armando N., T. Santana, M. Vicente da Silva, and N. M. C. Guerra. "Passive earth-pressure coefficients by upper-bound numerical limit analysis." Canadian Geotechnical Journal. 48 (2011): 767-780. Abstract

A three-dimensional (3D) numerical implementation of the limit analysis upper-bound theorem is used to determine passive horizontal earth-pressure coefficients. An extension technique allowing determination of the 3D passive earth pressures for any width-to-height ratios greater than 7 is presented. The horizontal passive earth-pressure coefficients are presented and compared with solutions published previously. Results of the ratio between the 3D and two-dimensional horizontal passive earth-pressure coefficients are shown and found to be almost independent of the soil-to-wall friction ratio. A simple equation is proposed for calculating this passive earth-pressure ratio.

Antão, Nunes A., N. M. C. Guerra, Vicente M. da Silva, and T. Santana Upper and lower bounds for the bearing apacity of foundations on soft soils with reinforcement columns. Proceedings of the 17 th European Conference on Soil Mechanics and Geotechnical Engineering. Reykjavik, Islândia, 2019.
Antão, Nunes A. "Influência da truncatura em tracção na estabilidade em condições não drenadas de túneis superficiais sem suporte." Geotecnia. 143 (2018): 201-211.
Antão, A. N., and M. Vicente da Silva. "Three-dimensional Limit Analysis with Lade-Duncan criterion." Géotechnique Letters. 12 (2022): 1-21. AbstractWebsite

The paper describes the three-dimensional numerical implementation of the Lade-Duncan criterion in a finite element limit analysis (FELA) code. Validation is done using examples with a known solution. To conclude the proposed numerical tool is applied to the calculation of the ultimate bearing capacity of square footing.

Antão, Nunes A., T. Santana, Vicente M. da Silva, and Costa N. M. da Guerra. "Three-dimensional active earth pressure coefficients by upper bound numerical limit analysis." Computers and Geotechnics. 79 (2016): 96-104.