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On dynamic finite element analysis of viscoplastic thin‐walled structures with non‐local damage

In this article we propose a non‐local damage model for dynamic finite element computation of viscoplastic thin‐shell structures. To take void nucleation and growth into account, the free energy function is enhanced phenomenologically in terms of a non‐local damage variable and its gradient on the mid‐surface of shell structures. The dynamic thin‐shell elastic theory including large rotations proposed by Simo and Tarnow (1994) is used to capture finite deformation. Local constitutive laws considering viscoplastic behaviour, isotropic hardening and isotropic ductile damage leading to softening in Velde et al. (2009) are employed. The performance of the proposed approach is demonstrated through the preliminary numerical simulations of shock‐wave loaded structures, which are validated by comparision with the experimental results. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)