Search results for "Transient phase"

showing 2 items of 2 documents

Bounds on transient phase plastic deformations in optimal design of steel frames subjected to cyclic loads

2009

A minimum volume multicriterion design of elastic perfectly plastic steel frames subjected to a combination of quasi-static fixed and cyclic loads, bounding the transient phase plastic deformations, is proposed. The problem is formulated according to a plastic shakedown criterion, so that incremental and instantaneous collapse are certainly prevented when the frame is subjected to very strongly amplified cyclic loads. The further condition that the structure must also behave elastically in serviceability conditions is imposed. Since the steady-state loading history is known it is possible to directly bound the steady-state plastic deformations. By applying a suitable own bounding theorem, i…

Optimal designMaterials scienceServiceability (structure)business.industryApplied MathematicsMechanical EngineeringComputational MechanicsSteel framePlastic shakedownOcean EngineeringStructural engineeringShakedownTransient phaseComputational MathematicsComputational Theory and MathematicsMinimum volume designPlastic bendingBounding overwatchBounds on transient deformationComputational Science and EngineeringbusinessSettore ICAR/08 - Scienza Delle Costruzioni
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Reliable measures of plastic deformations for elastic plastic structures in shakedown conditions

2020

A new formulation for evaluating reliable measures of the plastic deformations occurring in the transient phase of a structure in shakedown conditions is proposed. The structure is thought as constituted by elastic perfectly plastic material and subjected to a combination of fixed and cyclic loads. The proposed formulation consists in the search for the optimal plastic strain field that minimize a suitable objective function defining a strain energy measure related to the plastic strains at the shakedown limit. The typical self-stress field can be obtained as the elastic structural response to an assigned plastic strain field respecting appropriate ductility limits for the material. Without…

Elastic plastic structures Elastic shakedown Plastic deformations Self-stress fields Transient phasebusiness.industryLinear elasticityStructural engineeringPlasticityStrain energyShakedownCross section (physics)Bending momentLimit (mathematics)DuctilitybusinessSettore ICAR/08 - Scienza Delle CostruzioniMathematics
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