The theory of small superposed deformations for isotropic incompressible elastic materials is used (i) to obtain necessary restrictions on the form of the strain-energy function by requiring that the speed of propagation be real for waves that pass through a finitely deformed body of material (i.e., Hadamard stability criterion), and (ii) to determine critical loading condition for a thick rectangular plate under which bifurcation solutions (i.e., adjacent equilibrium positions) can exist. The possibility of bifurcation under tensile loading, when one pair of faces of a plate are force free, is precluded by further material stability considerations.

  • Corporate Authors:

    Lehigh University

    Center for the Application of Mathematics
    Bethlehem, PA  United States  18015
  • Authors:
    • Sawyers, K N
  • Publication Date: 1977-8

Media Info

  • Features: References;
  • Pagination: 41 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00168211
  • Record Type: Publication
  • Source Agency: Lehigh University
  • Report/Paper Numbers: CAM-100-29
  • Contract Numbers: N00014-76-C-0273
  • Files: TRIS
  • Created Date: Jan 30 1978 12:00AM