6533b829fe1ef96bd128971b

RESEARCH PRODUCT

Bounds to internal forces for elastic-plastic solids subjected to variable loads

Castrenze PolizzottoT. Panzeca

subject

Yield (engineering)Mechanical EngineeringGeometryMechanicsCondensed Matter PhysicsDomain (mathematical analysis)Action (physics)Piecewise linear functionMechanics of MaterialsRange (statistics)Point (geometry)Internal forcesVariable (mathematics)Mathematics

description

Considering an elastic-plastic workhardening solid with piecewise linear yield surfaces and a piecewise linear workhardening law, we give a method for constructing bounds to the internal forces and to the (hardened) yield stresses produced by the action of variable loads at any point of the body and at any time. The loading history is supposed to be unknown, but the loads range within a given domain.

https://doi.org/10.1007/bf02128436