Axisymmetric buckling of bimodulus thick circular plates

Abstract The static buckling of bimodulus thick circular and annular plates subjected to a combination of a pure bending stress and compressive stress is investigated. The thick finite element model, which includes the effect of transverse shear deformation, are created for axisymmetric buckling problems. The obtained results of buckling coefficient are compared with the exact solutions for ordinary thin plates. The accuracy of the finite element solutions are shown to be very good. The effects of various parameters on the buckling coefficients and neutral surfce locations are studied. The bimodulus properties are shown to have significant influences on the buckling coefficient.

[1]  E. J. Seldin.  Stress-strain properties of polycrystalline graphites in tension and compression at room temperature , 1966 .

[2]  Gerard C. Pardoen,et al.  Asymmetric vibration and stability of circular plates , 1978 .

[3]  E. Brunelle,et al.  Initially Stressed Mindlin Plates , 1974 .

[4]  R. Jones.  Buckling of stiffened multilayered circular cylindrical shells with different orthotropic moduli in tension and compression , 1971 .

[5]  Samuel Kelly Clark.  The Plane Elastic Characteristics of Cord—Rubber Laminates , 1963 .

[6]  N. Kamiya.  Large Deflection of a Different Modulus Circular Plate , 1975 .

[7]  Gerard C. Pardoen,et al.  Static, vibration and buckling analysis of axisymmetric circular plates using finite elements , 1973 .

[8]  Y. K. Cheung,et al.  FINITE STRIP METHOD IN STRUCTURAL ANALYSIS , 1976 .

[9]  C. W. Bert,et al.  Models for Fibrous Composites With Different Properties in Tension and Compression , 1977 .

[10]  J. S. Przemieniecki.  Finite Element Structural Analysis of Local Instability , 1972 .

[11]  C. W. Bert,et al.  Bending of Thick Rectangular Plates Laminated of Bimodulus Composite Materials , 1981 .

[12]  Deflection of Thin Rectangular Plates of Cross-Plied Bimodulus Material , 1980 .

[13]  N. Kamiya.  An Energy Method Applied to Large Elastic Deflection of a Thin Plate of Bimodulus Material , 1974 .

[14]  Ji-Liang Doong,et al.  Vibrations of an initially stressed transversely isotropic circular thick plate , 1984 .

[15]  S. Timoshenko,et al.  THEORY OF PLATES AND SHELLS , 1959 .

[16]  R. Jones.  Buckling of Circular Cylindrical Shells with Different Moduli in Tension and Compression , 1971 .

[17]  M. N. Bapu Rao,et al.  Finite Element Analysis of Mindlin Plates , 1979 .

[18]  J. Reddy,et al.  Vibration of Thick Rectangular Plates of Bimodulus Composite Material. , 1981 .