×

Dynamic shakedown of elastic-plastic solids for a set of alternative loading histories. (English) Zbl 0539.73030

Summary: The paper deals with dynamic shakedown of an elastic-perfectly plastic solid body subjected to a loading history which is unknown but is allowed to belong to a given set of loading histories. In the hypothesis of a piecewise linear convex set, a sufficient shakedown theorem is given and a bounding principle for the plastic work produced is formulated in terms of the dynamic elastic responses to a discrete set of loading histories. The solution of a minimization problem gives the most stringent bound which also proves to possess a local character, i.e., it regards the plastic work density at any point.

MSC:

74R20 Anelastic fracture and damage
74S30 Other numerical methods in solid mechanics (MSC2010)
PDFBibTeX XMLCite
Full Text: DOI