TY - JOUR
T1 - Computational Upper- and Lower-Bound 3D Limit Analysis Using the Hoek-Brown Yield Criterion
AU - Vicente da Silva, M.
AU - Antão, A. N.
N1 - Publisher Copyright:
© 2024 American Society of Civil Engineers.
PY - 2024/4/1
Y1 - 2024/4/1
N2 - The Hoek-Brown failure criterion has been widely applied to predict the strength of rock masses, demonstrating its relevance in diverse geotechnical contexts. This paper presents a novel 3D numerical implementation of the Hoek-Brown criterion in a finite-element limit analysis code. The proposed formulation is unique in its ability to produce strict upper and lower bounds for 3D problems, providing more accurate and reliable predictions of failure mechanisms compared to previous formulations. The validity of the formulation is demonstrated through comparisons with known analytical solutions or other authors' numerical solutions. Furthermore, the proposed numerical tool is used to determine the stability of shallow circular tunnels in rock masses, highlighting its practical applicability in engineering design.
AB - The Hoek-Brown failure criterion has been widely applied to predict the strength of rock masses, demonstrating its relevance in diverse geotechnical contexts. This paper presents a novel 3D numerical implementation of the Hoek-Brown criterion in a finite-element limit analysis code. The proposed formulation is unique in its ability to produce strict upper and lower bounds for 3D problems, providing more accurate and reliable predictions of failure mechanisms compared to previous formulations. The validity of the formulation is demonstrated through comparisons with known analytical solutions or other authors' numerical solutions. Furthermore, the proposed numerical tool is used to determine the stability of shallow circular tunnels in rock masses, highlighting its practical applicability in engineering design.
UR - http://www.scopus.com/inward/record.url?scp=85184839605&partnerID=8YFLogxK
U2 - 10.1061/IJGNAI.GMENG-9081
DO - 10.1061/IJGNAI.GMENG-9081
M3 - Article
AN - SCOPUS:85184839605
SN - 1532-3641
VL - 24
JO - International Journal of Geomechanics
JF - International Journal of Geomechanics
IS - 4
M1 - 04024036
ER -