6533b82cfe1ef96bd128f30f

RESEARCH PRODUCT

Mathematical Programming Methods for the Evaluation of Dynamic Plastic Deformations

S. CaddemiGuido BorinoCastrenze Polizzotto

subject

Mathematical optimizationLinear programmingBounding overwatchComputer scienceComputerApplications_COMPUTERSINOTHERSYSTEMSLimit (mathematics)PlasticityShakedown

description

Dynamic plastic deformation can be evaluated with two accuracy levels, nemely either by a full analysis making use of a step-by-step procedure, or by a simplified analysis making use of a bounding technique. Both procedures can be achieved by means a unified mathematical programming approach here presented. It is shown that for a full analysis both the direct and indirect methods of linear dynamics coupled with mathematical programming methods can be successfully applied, whereas for a simplified analysis a convergent bounding principle, holding both below and above the shakedown limit, can be utilized to produce an efficient linear programming-based algorithm.

https://doi.org/10.1007/978-3-7091-2618-9_17