Geometrical interpretation of the arc-length method

Matthies, 1979, The solution of nonlinear finite element equations, Int. J. Numer. Meth. Engng, 14, 1613, 10.1002/nme.1620141104 Pétiau, 1983, Algorithmes efficaces pour les calculs en post-flambement Fafard, 1987, Calcul automatique des configurations pré et post-flambement en calcul non linéaire des structures Batoz, 1979, Incremental displacement algorithms for non-linear problems, Int. J. Numer. Meth. Engng, 14, 1262, 10.1002/nme.1620140811 Wempner, 1971, Discrete approximations related to nonlinear theories of solids, Int. J. Solids Struct., 7, 1581, 10.1016/0020-7683(71)90038-2 Riks, 1979, An incremental approach to the solution of snapping and buckling problems, Int. J. Solids Struct., 15, 529, 10.1016/0020-7683(79)90081-7 Crisfield, 1981, A fast incremental/iterative solution procedure that handles snap-through, Comput. Struct., 13, 55, 10.1016/0045-7949(81)90108-5 Ramm, 1981, Strategies for tracing the non-linear response near limit points, 68 Padovan, 1986, Locally bound constrained Newton-Raphson solution algorithms, Comput. Struct., 23, 181, 10.1016/0045-7949(86)90211-7 Akoussah, 1987, Analyse non linéaire des structures à parois minces par éléments finis et son application aux bâtiments industriels Stegmüller, 1983, Theoretische grundlagen zum FE-programm system NISA 80 Roman, 1987, Postbuckling behavior of thin steel cylinders under transverse shear Massicotte, 1990, Tension-stiffening model for planar reinforced concrete members, J. Struct. Engng, ASCE, 116, 3039, 10.1061/(ASCE)0733-9445(1990)116:11(3039) Massicotte, 1990, Behavior of concrete panels subjected to axial and lateral loads, J. Struct. Engng, ASCE, 116, 2324, 10.1061/(ASCE)0733-9445(1990)116:9(2324)