ON THE PROBLEMS OF PERIDYNAMICS WITH SPECIAL CONVOLUTION KERNELS
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, vol.26, no.3, pp.301-321, 2014 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 26 Issue: 3
- Publication Date: 2014
- Doi Number: 10.1216/jie-2014-26-3-301
- Journal Name: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.301-321
- Open Archive Collection: AVESIS Open Access Collection
- Erciyes University Affiliated: Yes
Abstract
The well-posedness and regularity of a peridynamic model with a special kernel is studied. The differential-integral equation describing the model is first converted to an operator valued Volterra integral equation. Then the existence and regularity of the solution of the peridynamics problem are established through the study of the Volterra integral equation. The regularity results improve the previous known results for more general peridynamics models.