A powerful tool in computational stochastic mechanics is the stochastic finite element
method (SFEM). SFEM is an extension of the classical deterministic FE approach to the …

This paper overviews the efforts that led to resolution of the 20th century conundrum in
elastic stability of shells. In particular, the dramatic disagreement between theoretical and …

In this study, an efficient and robust algorithm of non-probabilistic reliability-based design
optimization (NRBDO) is proposed based on convex model. In this double-nested …

Thin-walled cylindrical shell structure not only shows the highly efficient load carrying
capacity but also is vulnerable to buckling instability failure. In practical application, these …

In the second part of this series paper, a high-fidelity finite element model was established
first to systematically study the buckling behaviors of thin-walled cylindrical shell subjected …

Geometric imperfections are part of the disagreement between theoretically and
experimentally determined buckling loads of cylindrical shells. Due to the random nature of …

In this study, we attempt to propose a new super parametric convex model by giving the
mathematical definition, in which an effective minimum volume method is constructed to give …

There are many uncertain factors in aerospace structures, such as variations in
manufacturing tolerance, material properties and environmental aspects. Although …

Unstiffened composite cylindrical shells show a large scatter in the load levels that the
structure can withstand before buckling occurs. Such scatter is greatly influenced by the …

In this paper, the effect of material and thickness spatial variation on the buckling load of
isotropic shells with random initial geometric imperfections is investigated. To this purpose, a …