Search results for "Specified load"

showing 3 items of 3 documents

Dynamic shakedown by modal analysis

1984

Dynamic shakedown of discrete elastic-perfectly plastic structures under a specified load history is studied using the dynamic characteristics of the structure provided by modal analysis. Several statical and kinematical theorems are presented, including lower and upper bound theorems for the minimum adaptation time of the structure. In the formulation of the kinematical theorems a crucial role is played by the appropriate definition of ≪admissible plastic strain cycle≫.

Mechanics of MaterialsMechanical EngineeringSpecified loadModal analysisMathematical analysisCalculusStructure (category theory)PlasticityCondensed Matter PhysicsUpper and lower boundsShakedownMathematicsMeccanica
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Shakedown of Structures Subjected to Dynamic External Actions and Related Bounding Techniques

2002

The shakedown theory for dynamic external actions is expounded considering elastic-plastic internal-variable material models endowed with hardening saturation surface and assuming small displacements and strains as long with negligible effects of temperature variations on material data. Two sorts of dynamic shakedown theories are presented, i.e.: i) Unrestricted dynamic shakedown, in which the structure is subjected to (unknown) sequences of short-duration excitations belonging to a known excitation domain, with no-load no-motion time periods in between and for which a unified framework with quasi-static shakedown is presented; and ii) Restricted dynamic shakedown, in which the structure is…

Piecewise linear functionEngineeringbusiness.industryBounding overwatchSpecified loadSolid mechanicsMathematical analysisStructural engineeringPlasticitybusinessStaticsFinite element methodShakedown
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Theorems of restricted dynamic shakedown

1993

Abstract Dynamic shakedown for a rate-independent material with internal variables is addressed in the hypothesis that the load values are restricted to those of a specified load history of finite or even infinite duration, thus ruling out the possibility—typical of classical shakedown theory—of indefinite load repetitions. Instead of the usual approach to dynamic shakedown, based on the bounded plastic work criterion, another approach is adopted here, based on the adaptation time criterion. Static, kinematic and mixed-form theorems are presented, which characterize the minimum adaptation time (MAT), a feature of the structure-load system, but which are also able to assess whether plastic w…

Work (thermodynamics)Mechanical EngineeringSpecified loadShakedown TheoremKinematicsCondensed Matter PhysicsShakedownMechanics of MaterialsBounded functionCalculusInternal variableApplied mathematicsGeneral Materials ScienceCivil and Structural EngineeringMathematicsInternational Journal of Mechanical Sciences
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