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Peridynamic modeling of diffusion by using finite element analysis

Diyaroglu, Cagan and Oterkus, Selda and Oterkus, Erkan and Madenci, Erdogan (2017) Peridynamic modeling of diffusion by using finite element analysis. IEEE Transactions on Components, Packaging and Manufacturing Technology, 7 (11). pp. 1823-1831. ISSN 2156-3950

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Diffusion modeling is essential in understanding many physical phenomena such as heat transfer, moisture concentration, electrical conductivity, etc. In the presence of material and geometric discontinuities, and non-local effects, a non-local continuum approach, named as peridynamics, can be advantageous over the traditional local approaches. Peridynamics is based on integro-differential equations without including any spatial derivatives. In general, these equations are solved numerically by employing meshless discretization techniques. Although fundamentally different, commercial finite element software can be a suitable platform for peridynamic simulations which may result in several computational benefits. Hence, this study presents the peridynamic diffusion modeling and implementation procedure in a widely used commercial finite element analysis software, ANSYS. The accuracy and capability of this approach is demonstrated by considering several benchmark problems.