INVESTIGATION OF THE STABILITY OF NUMERICAL SOLUTIONS OF THE EQUATIONS OF VISCOELASTICITY

In this paper the correspondence principle is used to reduce the equations of viscoelasticity to the equations of elasticity by means of a LaPlace transform. The finite element technique is used to approximate these equations in LaPlace transform space. The approximating equations are then inverted to obtain a set of simultaneous Volterra integral equations. It is then shown how the introduction of certain auxiliary variables can be used to develop an integration scheme which considerably reduces computer storage requirements. The conditions under which this integration scheme is conditionally stable and unconditionally stable are both investigated and illustrated by means of examples. /Author/TRRL/

  • Corporate Authors:

    Lyon Associates Inc.

    ,    
  • Authors:
    • BOOKER, J R
    • Small, J C
  • Publication Date: 0

Media Info

  • Features: Figures; References; Tables;
  • Pagination: 22 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00183448
  • Record Type: Publication
  • Source Agency: Transport and Road Research Laboratory (TRRL)
  • Report/Paper Numbers: Research Rpt No R301Monograph
  • Files: ITRD, TRIS
  • Created Date: Dec 29 1978 12:00AM