MATERIAL STABILITY AND BIFURCATION IN FINITE ELASTICITY

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  USA  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