Search results for "Thermal-plasticity"

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Consistent shakedown theorems for materials with temperature dependent yield functions

2000

The (elastic) shakedown problem for structures subjected to loads and temperature variations is addressed in the hypothesis of elastic-plastic rate-independent associative material models with temperature-dependent yield functions. Assuming the yield functions convex in the stress/temperature space, a thermodynamically consistent small-deformation thermo-plasticity theory is provided, in which the set of state and evolutive variables includes the temperature and the plastic entropy rate. Within the latter theory the known static (Prager's) and kinematic (König's) shakedown theorems - which hold for yield functions convex in the stress space - are restated in an appropriate consistent format…

State variableApplied MathematicsMechanical EngineeringMathematical analysisStress spaceDuality (mathematics)Condensed Matter PhysicsUpper and lower boundsShakedownShakedownThermal-plasticityMechanics of MaterialsModeling and SimulationLimit loadGeneral Materials ScienceLimit state designCyclic loadingConvex functionSettore ICAR/08 - Scienza Delle CostruzioniMathematics
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