On Work-Hardening Adaptation of Discrete Structures Subjected to Dynamic Forces in the Presence of Second-Order Geometric Effects*

*The results of this paper were presented at the meeting of the C.N.R. Research Group, “Azioni Sismiche e del Vento sulle Costruzioni,” held at the Dipartimento di Strutture, Università di Calabria, September 26-27, 1978.

ABSTRACT

The present paper deals with work-hardening adaptation of discrete rigid-plastic structures subjected to loadings which vary within a given domain according to an unknown history, with inertia forces, viscous forces, and second-order geometric effects also being included. Considering structural elements characterized by a piecewise linear yield surface, a piecewise linear work-hardening law, and a linear strain-rate sensitivity law, we give an adaptation criterion of “statical” type as well as a method of providing a priori bounds to deformation parameters such as displacement, plastic strain, and plastic strain intensity. These bounds can be rendered most stringent by solving a minimization problem of mathematical programming on an equivalent boundary value problem of finite plasticity. A simple application concludes the paper.

Notes

*The results of this paper were presented at the meeting of the C.N.R. Research Group, “Azioni Sismiche e del Vento sulle Costruzioni,” held at the Dipartimento di Strutture, Università di Calabria, September 26-27, 1978.