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Lower bound limit analysis using non‐linear programming
TLDR
This paper describes a new formulation, based on linear finite elements and non-linear programming, for computing rigorous lower bounds in 1, 2 and 3 dimensions. Expand
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Two- and three-dimensional bearing capacity of foundations in clay
Bearing capacity calculations are an important part of the design of foundations. Most of the terms in the bearing capacity equation, as it is used today in practice, are empirical. Shape factors forExpand
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Numerical limit analysis solutions for the bearing capacity factor Nγ
Abstract Numerical limit analyses are applied to evaluate the self-weight bearing capacity factor for a rigid surface footing with a smooth or rough interface. To isolate the effect of theExpand
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A new discontinuous upper bound limit analysis formulation
SUMMARY A new upper bound formulation of limit analysis of two- and three-dimensional solids is presented. In contrast to most discrete upper bound methods the present one is formulated in terms ofExpand
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Three-dimensional lower-bound solutions for the stability of plate anchors in sand
Soil anchors are commonly used as foundation systems for structures that require uplift or lateral resistance. These types of structure include transmission towers, sheet pile walls and buriedExpand
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Three-Dimensional Lower Bound Solutions for Stability of Plate Anchors in Clay
Soil anchors are commonly used as foundation systems for structures that require uplift or lateral resistance. These types of structures include transmission towers, sheet pile walls, and buriedExpand
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Two- and three-dimensional bearing capacity of footings in sand
Bearing capacity calculations are an important part of the design of foundations. Many of the terms in the bearing capacity equation, as it is used today in practice, are empirical. Shape factors c...
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Formulation and solution of some plasticity problems as conic programs
Abstract The application of conic programming to some traditionally difficult plasticity problems is considered. Convenient standard forms for conic programming of both limit and incrementalExpand
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Upper bound limit analysis using linear finite elements and nonlinear programming
A new method for computing rigorous upper bounds on the limit loads for one-, two- and three-dimensional continua is described. The formulation is based on linear finite elements, permitsExpand
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Stability charts for rock slopes based on the Hoek-Brown failure criterion
Abstract This paper uses numerical limit analysis to produce stability charts for rock slopes. These charts have been produced using the most recent version of the Hoek–Brown failure criterion. TheExpand
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