Dynamic shakedown of elastic-plastic solids for a set of alternative loading histories. (English) Zbl 0539.73030 Int. J. Non-Linear Mech. 19, 363-371 (1984). 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. Cited in 1 Document MSC: 74R20 Anelastic fracture and damage 74S30 Other numerical methods in solid mechanics (MSC2010) Keywords:Poliotto, Castrenze; dynamic shakedown; elastic-perfectly plastic solid; loading history; unknown; given set of loading histories; piecewise linear convex set; sufficient shakedown theorem; bounding principle; dynamic elastic responses; discrete set of loading histories; minimization problem PDFBibTeX XMLCite Int. J. Non-Linear Mech. 19, 363--371 (1984; Zbl 0539.73030) Full Text: DOI