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 language | English |
---|---|
Pages (from-to) | 407-427 |
Number of pages | 21 |
Journal | Structural Engineering and Mechanics |
Volume | 32 |
Issue number | 3 |
DOIs | |
Publication status | Published - 20 Jun 2009 |
Keywords
- Boundary element method
- Integral equations
- Quasi-static solution
- Reciprocity theorem
- Transient loads
- Viscoelasticity