Abstract
We characterize the kinds of anisotropy (besides transverse isotropy) that are compatible with spherically symmetric deformations of balls and spherical shells having nonlinear constitutive equations.
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REFERENCES
S.S. Antman, Nonlinear Problems of Elasticity, Springer-Verlag (1995).
S.S. Antman and P.V. Negrón-Marrero, The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies. J. Elasticity 18 (1987) 131–164.
S.C. Cowin and M.M. Mehrabadi, On the identification of material symmetry for anisotropic elastic materials. Q. J. Mech. Appl. Math. 40 (1987) 451–476.
A.E.H. Love, A Treatise on the Mathematical Theory of Elasticity, Cambridge Univ. Press (1927).
P.V. Negrón-Marrero and S.S. Antman, Singular global bifurcation problems for buckling of anisotropic plates, Proc. Roy. Soc. London A 427 (1990) 95–137.
T.C.T. Ting, Anisotropic Elasticity: Theory and Applications, Oxford Univ. Press (1996).
T.C.T. Ting, The remarkable nature of radially symmetric deformation of spherically uniform linear anisotropic solids. J. Elasticity 53 (1999) 47–64.
C. Truesdell and W. Noll, The Nonlinear Field Theories of Mechanics, Handbuch der Physik III/3, Springer-Verlag (1965).
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Antman, S.S., Ting, T. Anisotropy Consistent with Spherical Symmetry in Continuum Mechanics. Journal of Elasticity 62, 85–93 (2001). https://doi.org/10.1023/A:1010965213263
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DOI: https://doi.org/10.1023/A:1010965213263