Adaptive mesh-free lower bound limit analysis using non-linear programming
نویسندگان
چکیده
منابع مشابه
Lower Bound Limit Analysis Using Nonlinear Programming
This paper describes a general numerical formulation of the lower bound theorem of classical plasticity. The method is based on simplex finite elements and nonlinear programming and is applicable to problems in one, two and three dimensions. The use of linear finite elements guarantees that the computed collapse loads are, within computational accuracy, rigorous lower bounds on the true collaps...
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The non-linear programming theory along with active set algorithm is employed to solve the objective function of quadratic type problem in soil mechanics under plain strain and two dimensional loading conditions. Combination of lower bound limit analysis and finite element method leads to an appropriate procedure for determining the collapse load of the system. In this combined method, a linear...
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Stability of foundations near slopes is one of the important and complicated problems in geotechnical engineering, which has been investigated by various methods such as limit equilibrium, limit analysis, slip-line, finite element and discrete element. The complexity of this problem is resulted from the combination of two probable failures: foundation failure and overall slope failure. The curr...
متن کاملbearing capacity of strip footings near slopes using lower bound limit analysis
stability of foundations near slopes is one of the important and complicated problems in geotechnical engineering, which has been investigated by various methods such as limit equilibrium, limit analysis, slip-line, finite element and discrete element. the complexity of this problem is resulted from the combination of two probable failures: foundation failure and overall slope failure. the curr...
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An efficient procedure to compute strict upper and lower bounds for the exact collapse multiplier in limit analysis is presented, with a formulation that explicitly considers the exact convex yield condition. The approach consists of two main steps. First, the continuous problem, under the form of the static principle of limit analysis, is discretized twice (one per bound) using particularly ch...
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ژورنال
عنوان ژورنال: Scientia Iranica
سال: 2017
ISSN: 2345-3605
DOI: 10.24200/sci.2017.4163