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Asymmetric equilibrium configurations of hyperelastic cylindrical bodies under symmetric dead loads
2006
Quarterly of Applied Mathematics
Homogeneous deformations provided by the nonlinear equilibrium problem of symmetrically loaded isotropic hyperelastic cylindrical bodies are investigated. Depending on the form of the stored energy function, the problem considered may admit asymmetric solutions, besides the expected symmetric solutions. For general compressible materials, the mathematical condition allowing the assessment of these asymmetric solutions, which describe the global path of equilibrium branches, is given. Explicit
doi:10.1090/s0033-569x-06-01018-6
fatcat:en6m3uhai5cd5ca6owok4icde4