ON THE PROBLEMS OF PERIDYNAMICS WITH SPECIAL CONVOLUTION KERNELS
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, cilt.26, sa.3, ss.301-321, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 26 Sayı: 3
- Basım Tarihi: 2014
- Doi Numarası: 10.1216/jie-2014-26-3-301
- Dergi Adı: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.301-321
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Erciyes Üniversitesi Adresli: Evet
Özet
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.