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Non-local homogenization limits of discrete elastic spring network models with random coefficients

Non-local homogenization limits of discrete elastic spring network models with random coefficients

This work examines a discrete elastic energy system with local interactions described by a discrete second-order functional in the symmetric gradient and additional non-local random long-range interactions. We analyze the asymptotic behavior of this model as the grid size tends to zero. Assuming that the occurrence of long-range interactions is …