6533b855fe1ef96bd12b08f7

RESEARCH PRODUCT

Workhardening adaptation of rigid-plastic structures

Castrenze Polizzotto

subject

Surface (mathematics)Mathematical optimizationSafety factorOptimization problembusiness.industryMechanical EngineeringStructure (category theory)Structural engineeringKinematicsCondensed Matter PhysicsAction (physics)ShakedownSimple (abstract algebra)Mechanics of MaterialsbusinessMathematics

description

The paper considers discrete rigid-plastic structures which are subjected to the action of loads varying quasi-statically within given limits. It studies the conditions for workhoardening adaptation, that is the conditions to ensure that the structure, after an initial rigid-plastic phase, shows a purely rigid behavior. The safety factor against the workhardening inadaptation is defined by two dual optimization problems. Some characteristic features of the yielding surface at failure are pointed out, using also a proper geometric description. Static and kinematic theorems, which are similar to those of shakedown theory, are given. A simple application concludes the paper.

https://doi.org/10.1007/bf02133220