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Viscoelastic State for the Solutions of Spherically Symmetric Viscoelasticity Problems |
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| Authors: | Necla Kadioglu Senol Ataoglu Cuneyt Ozturk |
| Affiliation: | 1Dr., Associate Professor, Dept. of Civil Engineering, Istanbul Technical Univ., Istanbul, Turkey 34469 (corresponding author). E-mail: kadiog@itu.edu.tr 2Dr., Assistant Professor, Dept. of Civil Engineering, Istanbul Technical Univ., Istanbul, 34469, Turkey. E-mail: ataoglu@itu.edu.tr 3Graduate Student, Istanbul Technical Univ., Istanbul 34469, Turkey. |
| 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. |
| Keywords: | Dynamic response Elasticity Viscoelasticity Transient loads Integral equations Laplace transform |