Journal of Integral Equations and Applications

On the problems of peridynamics with special convolution kernels

S.A. Alimov, Yanzhao Cao, and O.A. Ilhan

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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.

Article information

Source
J. Integral Equations Applications, Volume 26, Number 3 (2014), 301-321.

Dates
First available in Project Euclid: 31 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.jiea/1414761100

Digital Object Identifier
doi:10.1216/JIE-2014-26-3-301

Mathematical Reviews number (MathSciNet)
MR3273897

Zentralblatt MATH identifier
1307.45006

Keywords
Peridynamics Volterra integral equations nonlo cal modeling

Citation

Alimov, S.A.; Cao, Yanzhao; Ilhan, O.A. On the problems of peridynamics with special convolution kernels. J. Integral Equations Applications 26 (2014), no. 3, 301--321. doi:10.1216/JIE-2014-26-3-301. https://projecteuclid.org/euclid.jiea/1414761100


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