Dynamic Shakedown in Elastic-Plastic Bodies

by Giulio Ceradini, (M.ASCE), Prof. of Strength of Materials; Inst. of Struct. Engrg., Faculty of Engrg., Univ. of Rome, Rome, Italy,

Serial Information: Journal of the Engineering Mechanics Division, 1980, Vol. 106, Issue 3, Pg. 481-499

Document Type: Journal Paper


The shakedown problem was first formulated for quasi-static actions, i.e., in absence of inertia forces. In the last 10 yr, with reference to dynamic processes, a more general formulation of the problem has been proposed, introducing the concept of dynamic shakedown. Two basic theorems have been stated: the first corresponds to the Bleich-Melan theorem concerning quasi-static actions; the second is a generalization of Koiter's kinematic theorem. The definition and the methods for determining the safety factor for dynamic shakedown are examined; in the case of periodic actions, linear and nonlinear programming procedures can be formulated. The influence of damping is also considered. The paper is a review of the basic work done in this field, for the most part in Italy, and may form the basis for further analysis.

Subject Headings: Elastic analysis | Inertia | Kinematics | Terminology and definition | Safety | Case studies | Linear functions | Nonlinear analysis | Italy | Europe

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