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TitleImplicit integration algorithm for Hoek-Brown elastic-plastic model
LicencePlease note the adoption of the Open Government Licence - Canada supersedes any previous licences.
AuthorWan, R G
SourceCanada Centre for Mineral and Energy Technology, Mining Research Laboratories, Division Report MRL 93-004 (J), 1993, 29 pages, Open Access logo Open Access
Mediapaper; digital; on-line
RelatedThis publication is related to Computers and Geotechnics 14 (1992) 149-177
File formatpdf
SubjectsScience and Technology; models; modelling; rock mechanics; stress analyses; plasticity; strain; displacement; Methodology
Illustrations3-D models; schematic representations; plots; models; tables
Released1993 04 01; 2021 08 20
AbstractA realistic strength criterion often used to describe the yielding behaviour of a jointed rock mass at a continuum level is the well-known Hoek and Brown criterion. This paper is concerned with a 3-D stress generalization of the Hoek-Brown failure criterion by means of an elliptical functional which leads to a smooth deviatoric trace in the stress space. For its incorporation into a finite element analysis involving plasticity calculations, the formulation of an implicit stress integration algorithm is presented. The key computational methodology alludes to the notion of consistent tangent modulus and implicit return mapping schemes (radial and closest point return) for stress integration in a finite element analysis. Within the context of non-linear elastoplastic analysis, it is found that formulation of such consistent modulus and success into achieving numerical efficiency are closely intertwined. Indeed, the procedure results into accurate and rapid convergence of the displacement finite element scheme during the search for equilibrium. This means that considerable savings in computational time can be achieved for large scale problems. Numerical examples which focus on the Hoek-Brown plasticity model are presented in order to fully appreciate the robustness of the algorithm, and hence the viability of such method to practical problems.

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