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

Bourgat, J. F.; Le Tallec, P.; Mani, S.

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

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

Citations:

Zbl 0472.73036; Zbl 0354.73046; Zbl 0354.73047