A general procedure for the direct computation of turning and bifurcation points
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Bathe K.‐J., 1976, Numerical Methods in Finite Element Analysis
Bushnell D., 1985, Mechanics of Elastic Stability
Ciarlet P. G., 1988, Mathematical Elasticity
Decker D. W., 1980, New Approaches to Nonlinear Problems in Dynamics, 53
Dennis J. E., 1983, Numerical Methods for Unconstrained Optimization and Nonlinear Equations
Felippa C. A., 1987, Transient/Dynamic Analysis and Constitutive Laws for Engineering Materials, C2/1
J.Hallquist ‘NIKE2D: An implicit finite deformation finite element code for analysing the static and dynamic response of two‐dimensional solids’ University of California Report UCRL‐52678 1979.
C.Johnson Numerical Solution of Partial Differential Equations by the finite Element Method Cambridge U. K. 1987.
Keller H. B., 1977, Applications of Bifurcation Theory, 359
Marsden J. E., 1983, Mathematical Foundations of Elasticity
Simo J. C., Plasticity and Viscoplasticity: Numerical Analysis and Computational Aspects
J. C.SimoandR. L.Taylor ‘Finite elasticity in principal stretches: Formulation and augmented Lagrangian algorithms’ Comp. Methods Appl. Mech. Eng. submitted for publication.
J. C.Simo D. D.FoxandM. S.Rifai ‘On a stress resultant geometrically exact shell model. Part III: Computat aspects of the nonlinear theory’ Comp. Methods Appl. Mech. Eng. submitted for publication.
G.Stanley ‘Continuum‐based shell elements’ Ph. D. Dissertation Applied Mechanics Division Stanford University 1985.
Taylor R. L., 1985, Solution of linear equations by a profile solver, Eng. Comp., 2, 334
Timoshenko S. P., 1961, Theory of Elastic Stability
B.WernerandA.Spence ‘The computation of symmetry‐breaking bifurcation points’ SIAM J. Numer. Anal. 388–399(1984).
Zienkiewicz O. C., 1988, The Finite Element Method