Shakedown and Plastic Collapse in Plane Stress Problems
A structure made of elastic plastic material under loading, after an initial stage of possible limited plastic deformation (of finite total plastic dissipation), may eventually shake down to some residual stress state, from which it subsequently responds elastically (hence safely) to the external agencies. Otherwise, the structure is considered as having failed, because of the instantaneous plastic collapse (corresponding to the maximal static load bearing capacity of the structure), or the plastic deformation would accumulate unrestrictively over loading cycles (the mode is called the ratchetting or incremental collapse one), or the plastic deformation should be bounded but vary cyclically and unceasingly (fatigue, cyclic, rotating plasticity, or alternating plasticity collapse).
In principle shakedown incremental checking for a structure can be performed for any sophisticated elastic plastic material model in small or large deformations,...
Pham DC is supported by VAST Project NCVCC03.01/18-18.
- Koiter WT (1963) General theorems for elastic-plastic solids. In: Sneddon IN, Hill R (eds) Progress in solids mechanics. North-Holland, Amsterdam, pp 165–221Google Scholar