Titlebook: Mathematical Programming Methods in Structural Plasticity; D. Lloyd Smith Book 1990 Springer-Verlag Wien 1990 algorithms.construction.defo

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Piecewise-Linear Elastic-Plastic Stress-Strain Relations,conditions is used to illustrate the role of the intervening constitutive operators. A matrix description for incremental elastic-plastic stress-strain relations is presented and processed next through mathematical programming theory to illustrate its capacity for generating variational interpretati

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Elastoplastic Analysis of Skeletal Structures,ot only the element displacement field but also the stress-resultant distribution, in both mesh and nodal representations. A finite element description, in terms of stress, strain and plastic multipliers, is incorporated to model the cross-sectional behaviour of the constitutive building elements. T

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Optimal Plastic Design and the Development of Practical Software, both proportional and repeated loadings. The applicability of linear programming techniques to this kind of problem was pointed out some twenty years ago. The principle of the method is widely exposed in the literature.. In this paper we restrict ourselves to some particular aspects of the automati

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Variational Statements and Mathematical Programming Formulations in Elastic-Plastic Analysis,recalled, which provide suitable bases for finite element discretization. Extensions to holonomic or piecewise holonomic representations of the elastic-plastic behavior are next discussed, under the assumption that the constitutive law can be expressed in a piecewise linear form. The discrete elasti

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