SOLUTION OF ELASTOPLASTIC BENDING BY FINITE DIFFERENCE METHODS

RESOLUTION PAR LES DIFFERENCES FINIES DE LA FLEXION ELASTOPLASTIQUE

THE TWO THEOREMS OF LIMIT ANALYSIS, THE STATIC AND THE KINEMATIC THEOREM, ARE OUTLINED AND ADAPTED TO THE PROBLEM OF THE BENDING OF A THIN PLATE WHICH IS ASSUMED TO BE MADE OF PERFECT RIGID PLASTIC MATERIAL SUBJECTED TO SMALL DEFORMATIONS. THESE THEOREMS ARE USED TO ESTIMATE THE UPPER AND LOWER LIMITS OF ULTIMATE LOADING, BUT GIVE NO INDICATION ON PLATE DEFLECTION. A NUMERICAL METHOD IS ALSO PROPOSED FOR SOLVING THE EQUATION REPRESENTING THE ELASTOPLASTIC DEFLECTION OBTAINED BY MEANS OF A GENERAL BEHAVIOUR LAW. THIS METHOD CONSISTS IN SOLVING ITERATIVELY A SERIES OF LINEAR BIHARMONIC PROBLEMS. EXAMPLES OF APPLICATION TO SQUARE PLATES, SUPPORTED OR RESTRAINED, SUBJECTED TO A UNIFORM OR CONCENTRATED LOAD SHOW THE ADVANTAGE OF USING BOTH TECHNIQUES SIMULTANEOUSLY (LIMIT ANALYSIS AND ELASTOPLASTIC CALCULATION) TO OBTAIN THE REAL BEARING CAPACITY OF THE PLATE.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/00202568
• Authors:
  • ARIBERT, J P
  • SURRY, C
• Publication Date: 1974-3

Language

• French

Media Info

• Pagination: 93-112
• Serial:
  • ANN ITBTP
  • Issue Number: 315
  • ISSN: 0020-2568

Subject/Index Terms

• TRT Terms: Calculation; Deflection; Deformation; Elasticity (Mechanics); Failure; Finite element method; Loads; Plasticity; Slabs
• ITRD Terms: 6464: Calculation; 5586: Deflection; 5595: Deformation; 5912: Elasticity; 5520: Failure; 6490: Finite element method; 5567: Load; 5922: Plasticity; 3491: Slab
• Subject Areas: Bridges and other structures; Materials; I24: Design of Bridges and Retaining Walls;

Filing Info

• Accession Number: 01310750
• Record Type: Publication
• Source Agency: Institut Francais des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)
• Files: ITRD
• Created Date: Nov 21 2010 1:12PM