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We study a strain gradient-enhanced version of a model for geomaterials undercompression by Marigo and Kazymyrenko (2019) coupling damage and small-strainassociative plasticity. We prove that the jumps in time of the plastic variablemay happen only along jumps of the damage variable. Moreover, we perform avanishing-viscosity analysis showing existence of Balanced Viscosityquasistatic solutions \`a la Mielke-Rossi-Savar\'e.

A rate-independent model for geomaterials under compression coupling strain gradient plasticity and damage