6533b852fe1ef96bd12ab641

RESEARCH PRODUCT

Bounding principles for elastic-plastic-creeping solids loaded below and above the shakedown limit

Castrenze Polizzotto

subject

Deformation (mechanics)Mechanical EngineeringInfinitesimalMechanicsCondensed Matter PhysicsShakedownMechanics of MaterialsBounding overwatchCalculusLimit (mathematics)Displacement (fluid)MathematicsVariable (mathematics)Free parameter

description

Solids of elastic-perfectly plastic creeping material subjected to variable loads are considered within the infinitesimal displacement framework and a bounding principle is presented which holds below and above the shakedown limit. Through the choice of some free parameters, this principle generates a number of deformation bounds with practical meanings, some of wich coincide with known results for creeping and noncreeping material, while others constitute new results or generalizations of known results. The topic will be further studied in a subsequent paper [35].

https://doi.org/10.1007/bf02128397