ON THE UNIQUENESS OF SINGULAR SOLUTIONS TO BOUNDARY-INITIAL VALUE PROBLEMS IN LINEAR ELASTODYNAMICS

The classical uniqueness theorem for the traction problem in the linearized dynamical theory of possibly non-homogeneous and anisotropic elastic solids has been generalized to encompass problems whose solutions exhibit suitably restricted stress-singularities. The types of singularities covered by the theorems obtained here include finite jump discontinuities in stress, which are familiar from known solutions to dynamical elasticity problems involving discontinuous data or non-matching boundary and initial conditions. In addition, one of the theorems established accommodates square-integrable isolated stress-infinites, such as those arising in connection with the focusing of elastic waves.

• Supplemental Notes:
  • Sponsored by Office of Naval Research.
• Corporate Authors:

  California Institute of Technology

  Division of Engineering and Applied Science
  1200 East California Boulevard
  Pasadena, CA  United States  91125
• Authors:
  • Brockway, G S
• Publication Date: 1972-5

Media Info

• Features: References;
• Pagination: 59 p.
• Serial:
  • Issue Number: 25

Subject/Index Terms

• TRT Terms: Dynamic modulus of elasticity; Elasticity (Mechanics); Structural analysis; Thermoelasticity
• Uncontrolled Terms: Elastodynamic analysis
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00035651
• Record Type: Publication
• Source Agency: Ship Structure Committee
• Report/Paper Numbers: NR 064-31 Tech Rpt
• Contract Numbers: N00014-67-A-00940020
• Files: TRIS
• Created Date: Oct 13 1973 12:00AM