ON CONSISTENT FIRST APPROXIMATIONS IN THE GENERAL LINEAR THEORY OF THIN ELASTIC SHELLS

The paper is concerned with the rational establishment of two-dimensional differential equations for the approximate analysis of stress and strain in elastic layers with space-curved middle surface. The paper establishes a significant rearrangement of the system of integro-differential equations, in such a way that the nature of the necessary asymptotic expansions is made evident. With this, explicit results are obtained which include the system of two-dimensional constitutive equations of Koiter and Sanders for an isotropic homogeneous medium, as well as a system of constitutive equations for a class of shells for which the normals to the middle surface are not directions of elastic symmetry, as well as a system of constitutive equations for shells which are sufficiently soft in transverse shear to make transverse shear deformation a first-order effect.

• Supplemental Notes:
  • Also available in Ingenieur-Archiv, V40, p402-419, 1971.
• Corporate Authors:

  University of California, La Jolla

  La Jolla, CA  United States  92037
• Authors:
  • Reissner, E
• Publication Date: 1970-10-29

Media Info

• Pagination: 20 p.

Subject/Index Terms

• TRT Terms: Elastic deformation; Shells (Structural forms); Structural analysis
• Old TRIS Terms: Elastic shells; Shell theory
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00040879
• Record Type: Publication
• Source Agency: National Technical Information Service
• Contract Numbers: N00014-69-A-02006027
• Files: TRIS
• Created Date: Feb 14 1973 12:00AM