Bourgat, J. F.; Le Tallec, P.; Mani, S. Modélisation et calcul des grands déplacements de tuyaux élastiques en flexion-torsion. (Numerical simulation of the large displacements of an elastic rod in flexion and torsion). (French) Zbl 0671.73060 J. Méc. Théor. Appl. 7, No. 4, 379-408 (1988). The paper deals with the variational formulation and nonlinear analysis of elastic rods undergoing large displacements in bending and torsion. The formulation is based on the application of an objective strain measure proposed by St. S. Antman [e.g.: Arch. Ration. Mech. Anal. 61, 307-393 (1976; Zbl 0354.73046; Zbl 0354.73047)]. Various numerical results are presented for plane and space-curved beams under conservative and non-conservative loads. Reviewer: R.Schmidt Cited in 5 Documents MSC: 74S30 Other numerical methods in solid mechanics (MSC2010) 74K10 Rods (beams, columns, shafts, arches, rings, etc.) 74B20 Nonlinear elasticity Keywords:bending; objective strain measure; conservative; non-conservative loads PDF BibTeX Cite \textit{J. F. Bourgat} et al., J. Méc. Théor. Appl. 7, No. 4, 379--408 (1988; Zbl 0671.73060)