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

  Two Park Avenue
  New York, NY  United States  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:
  • ASME Journal of Applied Mechanics
  • Volume: 44E
  • Issue Number: 4
  • Publisher: American Society of Mechanical Engineers

Subject/Index Terms

• TRT Terms: Deformation; Elasticity (Mechanics); Pressure; Shear strength; Sine curves; Strain (Mechanics); Structural plates
• Uncontrolled Terms: Plates; Transverse movement
• Old TRIS Terms: Strains
• Subject Areas: Bridges and other structures; Highways;

Filing Info

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