Buckling Analysis of Two Isotropic Layers Bonded to a Semi-Infinite Substrate

반무한체에 접합된 두 등방성 층의 좌굴 해석

  • Published : 2000.08.01


The buckling of two elastic layers bonded to a semi-infinite substrate under a transverse compressive plane strain is investigated. Incremental deformation theory, which considers the effect of the initial stress on the incremental stress field, is employed to describe the buckling behavior of both two isotropic layers and the semi-infinite substrate. The problem is converted to an eigenvalue-eigenvector case, from which the critical buckling strain and the buckling wavelength are obtained. The results are presented on the effects of the layer geometries and material properties on the buckling behavior.


Isotropic;Incremental Deformation Theory;Semi-infinite Substrate;Critical Buckling Strain


  1. Shield, T. W., Kim, K. S. and Shield, R. T., 1994, 'The Buckling of an Elastic Layer Bonded to an Elastic Substrate in Plane Strain,' ASME, J. Appl. Mech., Vol. 61, pp. 231-235
  2. Hwang, S. F., 1998, 'The Buckling of an Orthotropic Layer on a Half-Space,' Int. J. Mech. Sci., Vol. 40, No. 7, pp. 711-721
  3. Biot, M. A., 1965, Mechanics of Incremental Deformations, Wiley, New York
  4. Goodier, J. N., 1946, 'Cylindrical Buckling of Sandwich Plates,' ASME, J. Appl. Mech., Vol. 13, pp. A253-A260
  5. Chung, W. Y. and Testa, R. B., 1969, 'The Elastic Stability of Fiber in a Composite Plate,' J. Comp. Mater., Vol. 3, pp. 58-80
  6. Christensen, R. M., 1994, 'Material Instabiblity for Fiber Composites,' ASME, J. Appl. Mech., Vol. 61, pp. 476-477
  7. Gough, G. S., Elam, C. F. and De Bruyne, N. A., 1940, 'The Stabilization of a Thin Sheet by a Continuous Supporting Medium,' J. Royal Aero. Soc., Vol. 44, No. 34, pp. 12-43
  8. Hoff, N. J. and Mautner, S. E., 1945, 'The Buckling of Sandwich Type Panels,' J. Aero. Sci., Vol. 12, No. 3, pp. 285-297
  9. Dorris, J. F. and Nemet-Nasser, S., 1980, 'Instability of a Layer on a Half Space,' ASME, J. Appl. Mech., Vol. 47, pp. 304-312