Global Properties of Buckled States of Plates that can Suffer Thickness Changes
This paper treats the axisymmetric buckling of nonlinearly elastic Cosserat plates, which can suffer thickness changes, as well as flexure, midplane extension, and shear. The governing equations are accordingly quite complicated. Nevertheless, it is shown that all solutions, bifurcating or not, have a simple, detailed nodal structure that distinguishes branches globally.
KeywordsConstitutive Function Double Zero Solution Pair Buckle State Cosserat Theory
Unable to display preview. Download preview PDF.
- S. S. Antman (1972), The Theory of Rods, in Handbuch der Physik, Vol. VIa/2, C. Truesdell, ed., Springer-Verlag, 641–703.Google Scholar
- S. S. Antman & J. F. Pierce (1990), The intricate global structure of buckled states of compressible columns, SIAM J. Appl. Math. to appear.Google Scholar
- E. & F. Cosserat (1909), Théorie des Corps Déformables, Hermann.Google Scholar
- J. L. Ericksen (1977), Special Topics in Nonlinear Elastostatics, in Advances in Applied Mechanics, Vol. 17, C.-S. Yih, ed., Academic Press.Google Scholar
- P. M. Naghdi (1972) The Theory of Shells, in Handbuch der Physik, Vol. VIa/2, C. Truesdell, ed., Springer-Verlag, 425–640.Google Scholar
- P. V. Negrón-Marrero (1985), Large buckling of circular plates with singularities due to anisotropy, Univ. of Maryland, Dissertation.Google Scholar
- P. V. Negrón-Marrero (1990), Necked states of nonlinearly elastic plates, Proc. Roy. Soc. Edinburgh, to appear.Google Scholar
- P. V. Negrón-Marrero & S. S. Antman (1990), Singular global bifurcation problems for buckling of anisotropic plates, Proc. Roy. Soc. London, to appear.Google Scholar