USE OF DUALITY IN ELASTICITY. ADDITIONAL DATA ON THE REISSNER ENERGIES. EQUILIBRIUM OF A LAYERED ELASTIC SLAB RESTING ON A LAYERED STRUCTURE

UTILISATION DE LA DUALITE EN BLASTICITE - COMPLEMENTS SUR LES ENERGIES DE REISSNER - EQUILIBRE D'UNE DALLE ELASTIQUE REPOSANT SUR UNE STRUCTURE STRATIFIEE.

BY USING DUALITY IT IS POSSIBLE TO REDUCE TO A NUMBER OF FORMULAE PROBLEMS OF VARIATION FOUND IN ELASTICITY. SOME OF THESE FORMULAE ARE WELL ADAPTED TO NUMERICAL CALCULATION. FOR EXAMPLE, IT IS DIFFICULT TO NUMERICALLY MINIMISE BY COMPLEMENTARY ENERGY AS DIFFICULTIES OCCUR WHEN THE FINITE ELEMENT METHOD IS USED TO MAKE DISCRETE THE STRESSES WHICH VERIFY EQUILIBRIUM CONDITIONS. THE USE OF DUALITY ENABLES THIS DIFFICULTY TO BE SOLVED. THE EQUILIBRIUM OF A CONCRETE SLAB RESTING ON THE SOIL WAS STUDIED BY MEANS OF ANALYTIC FUNCTIONS. THE SLAB CAN SOME AWAY FROM THE SOIL UNDER THE ACTION OF APPLIED STRESSES (IN PARTICULAR STRESSES CAUSED BY TEMPERATURE). WITH DUALITY THIS PROBLEM CAN BE SOLVED NUMERICALLY. THE DATA USED IN THE CALCULATIONS ARE ON THE ONE HAND THE GEOMETRIC AND MECHANICAL PARAMETERS OF THE SLAB AND THE SOIL, ON THE OTHER THE APPLIED STRESSES. THE RESULTS ARE THE DISPLACEMENTS, THE STRESSES IN THE SLAB AND THE SLAB/SOIL CONTACT AREA ARE AN UNKNOWN. PRIOR NUMERICAL RESULTS AGREE WITH EXPERIMENTAL MEASUREMENTS. SOME EXAMPLES ARE PRESENTED. /TRRL/

  • Corporate Authors:

    Societe de diffusion de Tech du Batetde Trav Bat

    9 rue la Perouse
    Paris 16E,   France 
  • Authors:
    • FREMOND, M
  • Publication Date: 1972-6

Language

  • French

Media Info

Subject/Index Terms

Filing Info

  • Accession Number: 00081693
  • Record Type: Publication
  • Source Agency: Transport and Road Research Laboratory (TRRL)
  • Files: ITRD, TRIS
  • Created Date: Feb 27 1975 12:00AM