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arXiv · 2107.05083

Local and nonlocal energy-based coupling models

Gabriel Acosta·Francisco M. Bersetche·Julio D. Rossi
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Abstract

In this paper we study two different ways of coupling a local operator with a nonlocal one in such a way that the resulting equation is related to an energy functional. In the first strategy the coupling is given via source terms in the equation and in the second one a flux condition in the local part appears. For both models we prove existence and uniqueness of a solution that is obtained via direct minimization of the related energy functional. In the second part of this paper we extend these ideas to deal with local/nonlocal elasticity models in which we couple classical local elasticity with nonlocal peridynamics.

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Gabriel Acosta, Francisco M. Bersetche, Julio D. Rossi. 2021-07-11. Local and nonlocal energy-based coupling models. https://arxiv.org/abs/2107.05083

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