Structural Engineering and Mechanics

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

  • Ataoglu, S. (Division of Mechanics, Civil Engineering Department, Faculty of Civil Engineering, Istanbul Technical University)
  • Received : 2007.07.18
  • Accepted : 2009.04.30
  • Published : 2009.06.20
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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.

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References

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