Asymptotic numerical method for problems coupling several nonlinearities

By H. Abichou, H. Zahrouni, M. Potier-Ferry. 2002

51 citations recorded by the source corpus.

Abstract The objective of this paper is to assess the efficiency of the asymptotic numerical method to solve problems coupling various nonlinearities. The 3D hemispherical stretching of a circular sheet, that involves geometrical, material and red unilateral contact nonlinearities is chosen as an example. An elastoplastic model based on the plasticity deformation theory is adopted. The structural discretization is performed by a shell finite element well adapted for problems involving large displacements and large rotations. The unilateral contact problem is identified to boundary conditions which are replaced by force–displacement relations and solved using a special algorithm. Comparisons with results obtained by the help of an industrial code establish the interest and the performance of the present method.

Subfields: Computational Theory and Mathematics, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8773b1d6eddb4e8f7e070526383efdd57f267f86

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In Computational Theory and Mathematics

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Koiter analysis of folded structures using a corotational approach (2013, background): “The interested reader can refer to papers (Abichou et al., 2002; Barbero et al., 1996; Boutyour et al., 2004; Casciaro et al., 1992; Casciaro, 2005; Flores and Godoy, 1992; Lanzo and Garcea, 1996; Pacoste and Eriksson, 1995; Pignataro et al., 2000; Silvestre and Camotim, 2005) and citations therein.”
Model order reduction for hyperelastic materials (2010, methodology): “For a complete review the interested reader can refer to [6] or [1].”