BIFURCATION CONDITIONS FOR A THICK ELASTIC PLATE UNDER THRUST

A thick rectangular plate of incompressible isotropic elastic material is subjected to a pure homogeneous deformation by tensile forces or thrusts applied to a pair of opposite faces. The theory of small deformations superposed on finite deformations is applied to determine the critical conditions under which bifurcation solutions (i.e. adjacent equilibrium positions) can exist. The adjacent equilibrium positions considered are those for which the superposed deformation is two-dimensional and is coplanar with the loading force and the thickness direction of the plate, the faces of the plate normal to its thickness being force-free. (Modified author abstract)

• Corporate Authors:

  Lehigh University

  Center for the Application of Mathematics
  Bethlehem, PA  United States  18015
• Authors:
  • Sawyers, K N
  • Rivlin, R S
• Publication Date: 1973-5

Media Info

• Pagination: 45 p.

Subject/Index Terms

• TRT Terms: Deformation; Elastic deformation; Elasticity (Mechanics); Mathematical analysis; Rectangles; Stability (Mechanics); Strain (Mechanics); Structural analysis; Structural parts; Structural plates; Tensor analysis
• Uncontrolled Terms: Rectangular plates
• Old TRIS Terms: Bifurcation theory; Plates (Structural members); Structural plates
• Subject Areas: Bridges and other structures; Marine Transportation; Materials;

Filing Info

• Accession Number: 00048314
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: CAM-100-20 Tech Rpt
• Contract Numbers: N00014-67-A-0370-000
• Files: TRIS
• Created Date: Nov 14 1973 12:00AM