The impossibility of visual inspection and the complexity of combined loads hamper the
quantitative assessment, lifetime prediction and control of underground pipelines during …

The finite element method discretized static shakedown analysis of steel constructions leads
to large, sparse convex optimization problems. Under the von Mises yield criterion, they lead …

A class of important problems in structural mechanics leads to optimization problems with
linear objective functions and constraints consisting in (a) linear equalities and (b) …

This work concerns finite element limit and shakedown analysis of spatial steel frames under
nonlinear yield criteria of steel sections. Inner and outer ellipsoidal approximations to the …

Shakedown analysis is an extension of plastic limit analysis to the case of variable repeated
loads and plays a significant role in safety assessment and structural design. This paper …

Structural reliability analysis is based on the concept of a limit state function separating
failure from safe states of a structure. Upper and lower bound theorems of limit and …

Structural design analyses are conducted with the aim of verifying the exclusion of
ratchetting. To this end it is important to make a clear distinction between the shakedown …

For mechanical components made by additive manufacturing (AM) techniques such as
directed energy deposition (DED), micropores and other defects prevalently exist in the …

This paper concerns the development of a kinematic formulation for the finite element limit
and shakedown analysis of shells. The technique is based upon an upper bound approach …

It is important to be able to calculate the ratchet limit of a component when performing
integrity assessments of plant components. This paper details the addition of a lower bound …