A two dimensional mixed boundary-value problem in a viscoelastic medium

S. Ataoglu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

A fundamental solution for the transient, quasi-static, plane problems of linear viscoelasticity is introduced for a specific material. An integral equation has been found for any problem as a result of dynamic reciprocal identity which is written between this fundamental solution and the problem to be solved. The formulation is valid for the first, second and mixed boundary-value problems. This integral equation has been solved by BEM and algorithm of the BEM solution is explained on a sample, mixed boundary-value problem. The forms of time-displacement curves coincide with literature while time- surface traction curves being quite different in the results. The formulation does not have any singularity. Generalized functions and the integrals of them are used in a different form.

Original languageEnglish
Pages (from-to)407-427
Number of pages21
JournalStructural Engineering and Mechanics
Volume32
Issue number3
DOIs
Publication statusPublished - 20 Jun 2009

Keywords

  • Boundary element method
  • Integral equations
  • Quasi-static solution
  • Reciprocity theorem
  • Transient loads
  • Viscoelasticity

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