The lower bound shakedown analysis is a most convenient tool to determine the load
bearing capacity of engineering structures subjected to thermo-mechanical loadings. In …

There exist two basic formulations of static shakedown theorem for bounded kinematic
hardening (KH) model in literature. Whether the two formulations are equivalent, whether the …

The limited kinematic hardening plasticity theory is re-examined and presented with
additional clarifying hypotheses being proposed. The general theory forms the base for …

This work presents an efficient fiber analysis for evaluating the shakedown safety factor of
three‐dimensional frames under multiple load combinations. Mixed finite elements are …

This is a first paper in convex analysis dedicated to the bipotential theory, based on an
extension of Fenchel's inequality. Introduced by the second author, bipotentials lead to a …

A nonlinear, purely kinematic approach with the finite element implementation is developed
to perform shakedown analysis for materials obeying a general yield condition with non …

The shakedown safety domain of porous materials is investigated in this work by a direct
numerical method based on Melan's theorem. Considering the critical loading path of the …

This is a survey of recent results about bipotentials representing multivalued operators. The
notion of bipotential is based on an extension of Fenchel's inequality, with several …

A strong analogy between plasticity and friction is commonly admitted in the literature while
the question of applicability of plasticity principles to frictional contact problems remains …

In this paper, shakedown analysis for plasticity models with hardening is considered by
using the framework of implicit standard materials. It is shown that the concept of bipotential …