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

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...

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Bibliographic Details
Published in:	Structural engineering and mechanics Vol. 32; no. 3; pp. 407 - 427
Main Author:	Ataoglu, S
Format:	Journal Article
Language:	Korean
Published:	2009
Subjects:	integral equations reciprocity theorem boundary element method viscoelasticity quasi-static solution transient loads
Online Access:	Get full text
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Summary:	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.
ISSN:	1225-4568 1598-6217