Abstract
The solutions of the spherically symmetric, linear, isothermal, and transient viscoelasticity problems via reciprocity theorem have been investigated for a specific material. The integral form of stress-strain relations has been used. The Laplace transform of a viscoelastic state, which is necessary for the integral equation arising as a result of reciprocity theorem, has been derived. This integral equation has been solved by Laplace transform. A sample problem has been solved to test the presented formulation. A numerical application of the analytic solution of this problem has been given.
| Original language | English |
|---|---|
| Pages (from-to) | 723-727 |
| Number of pages | 5 |
| Journal | Journal of Engineering Mechanics - ASCE |
| Volume | 133 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Jun 2007 |
Keywords
- Dynamic response
- Elasticity
- Integral equations
- Laplace transform
- Transient loads
- Viscoelasticity