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On dynamic finite element analysis of viscoplastic thin‐walled structures with non‐local damage: A phase‐field approach
Author(s) -
Nguyen A.D.,
Trinh B.T.,
Stoffel M.,
Markert B.
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410052
Subject(s) - substructure , helmholtz free energy , viscoplasticity , dissipation , finite element method , field (mathematics) , phase (matter) , length scale , physics , mechanics , constitutive equation , mathematics , structural engineering , engineering , thermodynamics , quantum mechanics , pure mathematics
Abstract [EN] In this work, a nonlocal damage model is proposed for dynamic analysis of viscoplastic shell structures using the phase‐field approach. A phase‐field variable on the mid surface is introduced to characterize the nonlocal damage as well as the transition between undamaged and damaged phase. The total free energy in [1] is modified as a sum of Helmholtz free‐energy and Ginzburg‐Landau one. The latter is defined as a function of the phase‐field variable and its corresponding gradient. This enhancement gives rise to an introduction of gradient parameters in terms of a substructure‐related intrinsic length‐scale. The evolution of the phase‐field based damage variable can be found from the minimum principle of the dissipation potential [3]. The performance of the proposed model is demonstrated through numerical results of a plate with a circular hole. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)