ON THE PROBLEMS OF PERIDYNAMICS WITH SPECIAL CONVOLUTION KERNELS


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Alimov S. A. , Cao Y., Ilhan O. A.

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, cilt.26, ss.301-321, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 26 Konu: 3
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1216/jie-2014-26-3-301
  • Dergi Adı: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS
  • Sayfa Sayıları: ss.301-321

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.

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.