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arXiv · 1005.3379

Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod

Teodor M. Atanackovic·Stevan Pilipovic·Dusan Zorica
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Abstract

We study waves in a rod of finite length with a viscoelastic constitutive equation of fractional distributed-order type for the special choice of weight functions. Prescribing boundary conditions on displacement, we obtain case corresponding to stress relaxation. In solving system of differential and integro-differential equations we use the Laplace transformation in the time domain.

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Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica. 2010-05-19. Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod. https://doi.org/10.1016/j.ijengsci.2010.11.004

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