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Application of Computational Limit Analysis to LRFD Design
Limit equilibrium methods have been used for many years in the design of geotechnical structures, however they have a number of limitations and may miss critical failure mechanisms, leading to imprecise stability predictions and potentially requiring larger tailored safety factors to compensate. However, alternative, more accurate general-purpose numerical tools such as the elasto-plastic finite element approach have tended to be computationally costly and labour intensive, and generally find only a single, critical, failure mode, whereas engineers may wish to test the likelihood of a range of failure mechanisms forming. In this paper it is demonstrated that both these issues can be addressed via the use of computational limit analysis (CLA). CLA is a numerical tool that allows the user to determine rapidly and directly the ultimate limit state for a general problem geometry without the need to iterate or time step to a solution. This paper demonstrates how CLA can be used in the context of limit state design approaches such as LRFD. It then illustrates how a CLA approach may be carried out for a range of example foundation and retaining wall problems and compares and contrasts the process with conventional limit equilibrium approaches. The CLA technique discontinuity layout optimization, which is able to directly generate slip-line mechanism solutions of a form similar to those seen in many limit equilibrium solutions, is used to generate the results described.
Application of Computational Limit Analysis to LRFD Design
Limit equilibrium methods have been used for many years in the design of geotechnical structures, however they have a number of limitations and may miss critical failure mechanisms, leading to imprecise stability predictions and potentially requiring larger tailored safety factors to compensate. However, alternative, more accurate general-purpose numerical tools such as the elasto-plastic finite element approach have tended to be computationally costly and labour intensive, and generally find only a single, critical, failure mode, whereas engineers may wish to test the likelihood of a range of failure mechanisms forming. In this paper it is demonstrated that both these issues can be addressed via the use of computational limit analysis (CLA). CLA is a numerical tool that allows the user to determine rapidly and directly the ultimate limit state for a general problem geometry without the need to iterate or time step to a solution. This paper demonstrates how CLA can be used in the context of limit state design approaches such as LRFD. It then illustrates how a CLA approach may be carried out for a range of example foundation and retaining wall problems and compares and contrasts the process with conventional limit equilibrium approaches. The CLA technique discontinuity layout optimization, which is able to directly generate slip-line mechanism solutions of a form similar to those seen in many limit equilibrium solutions, is used to generate the results described.
Application of Computational Limit Analysis to LRFD Design
Smith, Colin C. (author) / Gilbert, M. (author)
Geo-Congress 2020 ; 2020 ; Minneapolis, Minnesota
Geo-Congress 2020 ; 95-103
2020-02-21
Conference paper
Electronic Resource
English
Application of Computational Limit Analysis to LRFD Design
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