Computational mechanics paper
Tangaramvong, S, Yang, C, Tin-Loi, F, Gao, W 2014, 'Direct determination of critical bounds to elastoplastic responses of structures with interval material properties', in ST Smith (ed.), 23rd Australasian Conference on the Mechanics of Structures and Materials (ACMSM23), vol. II, Byron Bay, NSW, 9-12 December, Southern Cross University, Lismore, NSW, pp. 837-842. ISBN: 9780994152008.
In the analysis and design of steel structures it is important to assess the influence of uncertainties in beam-to-column connections properties. This is especially so for semi-rigidly connected structures for which no precise relationships exist. In this paper, a pair of the novel mathematical programming based approaches is proposed to directly compute, under a given load level, the critical upper (in one case) and lower (in the other case) displacement bound responses of elastoplastic structures with the uncertain but interval initial stiffness and plastic limits. The underlying formulation is an interval mathematical program with equilibrium constraints or interval MPEC. A smoothing regularization technique is proposed to robustly and efficiently process the interval MPEC involved.