DYNAMIC VARIATIONAL PRINCIPLES FOR DISCONTINUOUS ELASTIC FIELDS

Various forms of variational principles are derived for the three-dimensional theory of elastodynamics. The continuity requirements on the fields of stresses or strains and/or displacements are relaxed through Friedrichs's transformation. Thus, the generalized forms of certain types of earlier variational principles are systematically constructed using a basic principle of physics. The variational principles derived herein are shown to generate, as the appropriate Euler equations, the complete set of the governing equations of linear elastodynamics, that is, the stress equations of motion, the strain displacement relations, the mixed natural boundary conditions, the constitutive equations, the natural initial conditions, and the jump conditions. Similarly, generalized variational principles are established for the nonlinear theory of elastodynamics, for the incremental motions in linear elasticity, and for an elastic Cosserat continuum, as well.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/00224502
• Corporate Authors:

  Society of Naval Architects and Marine Engineers

  601 Pavonia Avenue
  Jersey City, NJ  United States  07306-2907
• Authors:
  • Dokmeci, M C
• Publication Date: 1979-6

Media Info

• Features: References;
• Pagination: p. 115-122
• Serial:
  • Journal of Ship Research
  • Volume: 23
  • Issue Number: 2
  • Publisher: Society of Naval Architects and Marine Engineers
  • ISSN: 0022-4502
  • EISSN: 1542-0604
  • Serial URL: https://onepetro.org/jsr

Subject/Index Terms

• TRT Terms: Analysis; Dynamic modulus of elasticity; Elastic deformation; Finite element method; Information processing; Mechanical elasticity; Structural analysis
• Uncontrolled Terms: Computer aided analysis; Elastodynamic analysis
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00195368
• Record Type: Publication
• Source Agency: Society of Naval Architects and Marine Engineers
• Files: TRIS
• Created Date: Jul 31 1979 12:00AM