A THEORY OF PLACTICITY FOR IDEAL FRICTIONLESS MATERIALS

THE AIM OF THE PRESENT WORK HAS BEEN TO COMPLETE THE EXISTING THEORY OF PLASTICITY SO THAT IN PRINCIPLE ALL PROBLEMS IN PRACTICE CONCERNING THE FINAL STATE OF FAILURE IN IDEAL FRICTIONLESS MATERIALS IN PLANE STRAIN CAN BE SOLVED IN AN ECONOMICAL WAY. IN ORDER TO OBTAIN THIS, A GENERAL SOLUTION METHOD, CALLED THE METHOD OF KINEMATICALLY ADMISSIBLE SOLUTIONS WITH POSSIBLE ZONES, HAS BEEN DEVELOPED FROM GENERAL CONSIDERATIONS OF THE DEFORMATION WORK. SOLUTIONS OF THIS KIND, WHICH HAVE BEEN STUDIED BEFORE TO THE AUTHOR'S KNOWLEDGE, ARE SPECIAL CASES OF THE SO-CALLED KINEMATICALLY ADMISSIBLE SOLUTIONS THAT CAN BE CONSIDERED AS GENERALIZATIONS OF THE WELL-KNOWN PHI=0 ANALYSIS. THE USE OF THE METHODS IS SHOWN BY SOME EXAMPLES FROM SOIL MECHANICS. SOME PROBLEMS CONNECTED WITH THE CONSTRUCTION OF SOLUTIONS, INCLUDING MODES OF FAILURE, INTERACTING AND ALTERNATIVE RUPTURE FIGURES, AND CHOICE OF APPROXIMATIONS ARE DISCUSSED. SOME SPECIAL USES OF THE EXTREMUM METHOD, INCLUDING AN APPROXIMATE MINIMAX PRINCIPLE, ARE ALSO SHOWN. /AUTHOR/

• Supplemental Notes:
  • Thesis, 471 PP
• Corporate Authors:

  Technical University of Denmark, Copenhagen

  , ZZ N/A   

  Teknisk Forlag /Denmark

  ,    
• Authors:
  • Hansen, B
• Publication Date: 1966

Subject/Index Terms

• TRT Terms: Failure; Friction; Kinetics; Materials; Plasticity; Rock fracture; Soil mechanics; Solutions (Chemistry); Strain (Mechanics)
• Old TRIS Terms: Minimax technique; Plasticity theory; Solutions; Strains
• Subject Areas: Geotechnology; Highways; Materials;

Filing Info

• Accession Number: 00216256
• Record Type: Publication
• Files: TRIS
• Created Date: Mar 12 1994 12:00AM