Koiter analysis of folded structures using a corotational approach

By G. Zagari, Antonio Madeo, R. Casciaro, Stefano de Miranda, Francesco Ubertini. 2013

56 citations recorded by the source corpus.

The paper deals with geometrically nonlinear finite element analysis of folded-plate and shell structures. A Koiter asymptotic approach is proposed, based on the reuse of a linear element in the nonlinear context through a corotational formulation. The corotational approach represents a simple and effective way to satisfy the basic requirement of Koiter analysis, i.e. full objectivity in the finite element modeling. In fact, starting simply from a suitable linear finite element and implementing the corotational algebra proposed in Garcea et al. (2009), Zagari (2009) lead to objective explicit expressions for the first four variations of the strain energy which are needed by asymptotic analysis. The shell element used here is the flat shell quadrangular element with 4 nodes and 6 dofs per node proposed in Madeo et al. (2012) and called MISS-4: a mixed element, based on the Reissner–Mindlin plate theory, with an Allman-like quadratic interpolation for displacements and an equilibrated isostatic interpolation for the stress resultants. The element is free from locking and spurious zero-energy modes, so it appears a suitable candidate for nonlinear corotational analysis. The results of the numerical validation show the effectiveness and accuracy of the proposed approach, and its excellent overall robustness for both mono- and multi-modal buckling problems, also in the presence of strong nonlinear pre-critical behavior.

Subfields: Civil and Structural Engineering, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/17d1549ec35e2837985282f4258600cb4458960f

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In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

An efficient mixed variational reduced‐order model formulation for nonlinear analyses of elastic shells (2018, background): “Geometrically exact shell models [22] or co-rotational approaches [23, 24, 15] are suited formulations to achieve structural model objectivity.”
Advantages of the mixed format in geometrically nonlinear analysis of beams and shells using solid finite elements (2017, background): “On the contrary, geometrically exact shell and beam models [5, 6] or those based on corotational approaches [26, 46, 50], explicitly make use of the rotation tensor and its highly nonlinear representation.”