A general non‐linear optimization algorithm for lower bound limit analysis
Copyright policy )A general non‐linear optimization algorithm for lower bound limit analysis
AbstractThe non‐linear programming problem associated with the discrete lower bound limit analysis problem is treated by means of an algorithm where the need to linearize the yield criteria is avoided. The algorithm is an interior point method and is completely general in the sense that no particular finite element discretization or yield criterion is required. As with interior point methods for linear programming the number of iterations is affected only little by the problem size.Some practical implementation issues are discussed with reference to the special structure of the common lower bound load optimization problem, and finally the efficiency and accuracy of the method is demonstrated by means of examples of plate and slab structures obeying different non‐linear yield criteria. Copyright © 2002 John Wiley & Sons, Ltd.
- Technical University of Denmark Denmark
- Aalborg University Library (AUB) Denmark
- Aalborg University Denmark
Lower Bound Method, Non-Linear Programming, Finite element methods applied to problems in solid mechanics, finite element method, Interior-point methods, Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials), Limit Analysis, Applications of mathematical programming, nonlinear programming, Optimization of other properties in solid mechanics, Finite element Method, limit analysis, lower bound method
Lower Bound Method, Non-Linear Programming, Finite element methods applied to problems in solid mechanics, finite element method, Interior-point methods, Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials), Limit Analysis, Applications of mathematical programming, nonlinear programming, Optimization of other properties in solid mechanics, Finite element Method, limit analysis, lower bound method
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