Inserted: 28 apr 2021
Last Updated: 14 jan 2022
Journal: Advances in Calculus of Variations
We prove a compactness result in GBD which also provides a new proof of the compactness theorem in GSBD, due to Chambolle and Crismale 5, Theorem 1.1. Our proof is based on a Fr\'echet-Kolmogorov compactness criterion and does not rely on Korn or Poincar\'e-Korn inequalities.