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We look for an enhancement of the correspondence model of peridynamics with aview to eliminating the zero-energy deformation modes. Since the non-localintegral definition of the deformation gradient underlies the problem, weinitially look for a remedy by introducing a class of localizing corrections tothe integral. Since the strategy is found to afford only a reduction, and notcomplete elimination, of the oscillatory zero-energy deformation, we propose inthe sequel an alternative approach based on the notion of sub-horizons. A mostuseful feature of the last proposal is that the setup, whilst providing thesolution with the necessary stability, deviates only marginally from theoriginal correspondence formulation. We also undertake a set of numericalsimulations that attest to the remarkable efficacy of the sub-horizon basedmethodology.

A simple alteration of the peridynamics correspondence principle to eliminate zero-energy deformation