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References
S. S. Antman, The Shape of Buckled Nonlinearly Elastic Rings, Z.A.M.P. 21 (1970), 422–438.
-, Existence and Nonuniqueness of Axisymmetric Equilibrium States of Nonlinearly Elastic Shells, Arch. Ratl. Mech. Anal. 40 (1971), 329–371.
-, The Theory of Rods, Handbuch der Physik Vol. VIa/2, Springer-Verlag, 1972, 641–703.
-, Nonuniqueness of Equilibrium States for Bars in Tension, J. Math. Anal. Appl. 44 (1973), 333–349.
S. S. Antman, Qualitative Theory of the Ordinary Differential Equations of Nonlinear Elasticity, in Mechanics Today, 1972, edited by S. Nemat-Nasser, Pergamon Press, 1974, 58–101.
S. S. Antman, Monotonicity and Invertibility Conditions in One-Dimensional Nonlinear Elasticity, Symposium on Nonlinear Elasticity, Mathematics Research Center, Univ. Wisconsin, edited by R. W. Dickey, Academic Press, 1973, 57–92.
S. S. Antman, Boundary Value Problems of One-Dimensional Nonlinear Elasticity I: Foundations of the Theories of Nonlinearly Elastic Rods and Shells, Arch. Rational Mech. Anal., to appear.
S. S. Antman, Boundary Value Problems of One-Dimensional Nonlinear Elasticity II: Existence and Regularity Theory for Conservative Problems, Arch. Rational Mech. Anal., to appear.
S. S. Antman, & E. Carbone, to appear.
S. S. Antman, & K. B. Jordan, Qualitative Aspects of the Spatial Deformation of Nonlinearly Elastic Rods, Proc. Roy. Soc. Edinburgh, to appear.
S. S. Antman, & G. Rosenfeld, in preparation.
J. Ball, to appear.
M. S. Berger, On von Kármán’s Equations and the Buckling of a Thin Elastic Plate, I. Comm. Pure Appl. Math. 20 (1967), 687–719.
M. S. Berger and P. Fife, On von Kármán’s Equations and the Buckling of a Thin Elastic Place, II, Comm. Pure Appl. Math. 21 (1968), 227–241.
J. H. Wolkowisky, Existence of Buckled States of Circular Plates, Comm. Pure Appl. Math. 20 (1967), 549–560.
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Antman, S.S., Browne, R.C. (1976). Local invertibility conditions for geometrically exact nonlinear rod and shell theories. In: Germain, P., Nayroles, B. (eds) Applications of Methods of Functional Analysis to Problems in Mechanics. Lecture Notes in Mathematics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088751
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DOI: https://doi.org/10.1007/BFb0088751
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