A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Three-dimensional Limit Analysis using the Extended-Matsuoka–Nakai yield criterion
https://orcid.org/0000-0003-0800-6979
https://orcid.org/0000-0003-2835-2780
Abstract This paper investigates the implementation of the Extended-Matsuoka–Nakai yield criterion on a strict Limit Analysis finite element formulation. The current approach is based on a three-field mixed finite element model and the Alternating Direction Method of Multipliers optimization algorithm. With the support of duality principles two variants are derived, the lower bound and the upper bound element. The main novelty of this work is the development of an efficient iterative predictor–corrector scheme, customized for the Extended-Matsuoka–Nakai. This scheme is an indispensable requirement for this formulation. To conclude four numerical examples are presented to assess the effectiveness and efficiency of the numerical tool.
Three-dimensional Limit Analysis using the Extended-Matsuoka–Nakai yield criterion
https://orcid.org/0000-0003-0800-6979
https://orcid.org/0000-0003-2835-2780
Abstract This paper investigates the implementation of the Extended-Matsuoka–Nakai yield criterion on a strict Limit Analysis finite element formulation. The current approach is based on a three-field mixed finite element model and the Alternating Direction Method of Multipliers optimization algorithm. With the support of duality principles two variants are derived, the lower bound and the upper bound element. The main novelty of this work is the development of an efficient iterative predictor–corrector scheme, customized for the Extended-Matsuoka–Nakai. This scheme is an indispensable requirement for this formulation. To conclude four numerical examples are presented to assess the effectiveness and efficiency of the numerical tool.
Three-dimensional Limit Analysis using the Extended-Matsuoka–Nakai yield criterion
https://orcid.org/0000-0003-0800-6979
https://orcid.org/0000-0003-2835-2780
Abstract This paper investigates the implementation of the Extended-Matsuoka–Nakai yield criterion on a strict Limit Analysis finite element formulation. The current approach is based on a three-field mixed finite element model and the Alternating Direction Method of Multipliers optimization algorithm. With the support of duality principles two variants are derived, the lower bound and the upper bound element. The main novelty of this work is the development of an efficient iterative predictor–corrector scheme, customized for the Extended-Matsuoka–Nakai. This scheme is an indispensable requirement for this formulation. To conclude four numerical examples are presented to assess the effectiveness and efficiency of the numerical tool.
Three-dimensional Limit Analysis using the Extended-Matsuoka–Nakai yield criterion
Vicente da Silva, M. (author) / Antão, A.N. (author)
2023-05-09
Article (Journal)
Electronic Resource
English
Limit Analysis using the extended Matsuoka-Nakai yield criterion under plane strain conditions
| DOAJ | 2023
A Novel Mohr–Coulomb–Matsuoka–Nakai Strength Criterion for Rocks Considering Brittle–Ductile Domain
| Springer Verlag | 2024
The critical state behaviour of barodesy compared with the Matsuoka-Nakai failure criterion
| British Library Online Contents | 2013