Abstract In this contribution, an online adaptive reduced order model is presented for small‐strain elasto‐plasticity. Using the GALERKIN method, the problem is projected to a lower subspace giving a reduced problem based on the displacement field snapshots. The adaptivity lies in the update of the projection operator, which is carried out in different parts of the simulation if certain criteria related to the convergence behavior are not fulfilled. With a relative POD analysis called Proper Snapshot Selection (PSS), the new basis is chosen and the simulation is proceeded.
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