THE FINITE ELEMENT METHOD IN VISCOELASTICITY AND VISCOPLASTICITY: APPLICATIONS TO SOIL MECHANICS

LA METHODE DES ELEMENTS FINIS EN VISCO-ELASTICITE ET EN VISCO-PLASTICITE: APPLICATIONS A LA MECANIQUE DES SOLS

This bibliographic study covers the different types of viscous models used in a finite element method, and their corresponding algorithms. A distinction is made between viscoelastic and viscoplastic models. The differential or integral equations of behaviour of the former, and the laws of flow associated or not with the criteria of plasticity of the latter, are illustrated by some examples from the literature. The numerical methods of treatment by finite elements using the LaPlace transform, which are specific to viscoelastic models, are described. Time-stepping algorithms used for all types of viscous models are outlined. As in elastoplasticity, these algorithms are derived from the initial stress method, or variable stiffness methods, or a combination of the two. The problems arising from the convergence of these algorithms, and from the accuracy of their results, are dealt with. The application of these models to soil and rock mechanics are numerour; certain studies relate to the influence of the hypotheses concerning these models on the results obtained. As far as possible, they have been included in this paper. (TRRL)

  • Corporate Authors:

    Central Laboratory of Bridges & Highways, France

    75732 Paris,   France 
  • Authors:
    • FELIX, B
  • Publication Date: 1983-8

Language

  • French

Media Info

  • Features: Figures; References; Tables;
  • Pagination: 60 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00389899
  • Record Type: Publication
  • Source Agency: Laboratoire Central des Ponts et Chausees (LCPC)
  • Report/Paper Numbers: LPC 123
  • Files: ITRD, TRIS, ATRI
  • Created Date: Nov 30 1984 12:00AM