Upper bound limit and shakedown analysis of elastic plastic bounded linearly kinematic hardening structures

TL;DRAbstract

This thesis develops a new FEM based algorithm for shakedown analysis of structures made of elastic plastic bounded linearly kinematic hardening material. Its concept can be briefly described as: Hardening law is simulated using a two-surface plastic model. One yield surface is the initial surface, defined by yield stress sigma_y, and the other one is the bounding surface, defined by ultimate strength sigma_u. The initial surface can translate inside the bounding surface without changing its shape and size. The subsequent yield surface is bounded by one of the two following conditions: (1) it always stays inside the bounding surface, or (2) its centre cannot move outside the back-stress surface, where the back-stress surface is defined by pi = sigma_u - sigma_y. Both ways of bounding are equivalent. The subsequent yield surface may touch the bounding surface, it means ratchetting occurs and the benefit of hardening is quite clear; or it may not touch the bounding surface, it that means

Chat with Paper

AI Agents for this Paper