A HIGH-ORDER THEORY OF PLATE DEFORMATION, PART 1: HOMOGENEOUS PLATES

A theory of plate deformation is derived which accounts for the effects of transverse shear deformation, transverse normal strain, and a nonlinear distribution of the in-plane displacements with respect to the thickness coordinate. The theory is compared with lower-order plate theories through application to a particular problem involving a plate acted upon by a sinusoidal surface pressure. Comparison is also made with the exact elasticity solution of this problem. It is found that when the ratio of the characteristic length of the load pattern to the plate thickness is of the order of unity, lower-order theories are inadequate and the present high-order theory is required to give meaningful results. The present work treats homogeneous plates while Part 2 involves laminated plates. /Author/

  • Supplemental Notes:
    • Presented at the Winter Annual Meeting of the ASME, Atlanta, Georgia, November 27-December 2, 1977.
  • Corporate Authors:

    American Society of Mechanical Engineers

    Three Park Avenue
    New York, NY  USA  10016-5990
  • Authors:
    • Lo, K H
    • Christensen, R M
    • WU, E M
  • Publication Date: 1977-12

Media Info

  • Features: Figures; References;
  • Pagination: p. 663-668
  • Serial:

Subject/Index Terms

Filing Info

  • Accession Number: 00170817
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Mar 7 1978 12:00AM