Ductile damage modelling with locking‐free regularised GTN model. (2nd February 2018)

• Record Type: Journal Article
• Authors: Zhang, Yi; Lorentz, Eric; Besson, Jacques
• Is Part Of: International journal for numerical methods in engineering. Volume 113:Number 13(2018)
• Page Start: 1871
• Page End: 1903
• Publication Date: 2018-02-02
• Subjects: ductile damage -- GTN model -- mesh dependency -- mixed finite element -- nonlocal regularisation -- volumetric locking; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.5722
• Languages: English
• ISSNs: 0029-5981

Abstract

Summary: The major goal of this work is to develop a robust modelling strategy for the simulation of ductile damage development including crack initiation and subsequent propagation. For that purpose, a Gurson‐type model is used. This model class, as many other damage models, leads to significant material softening and must be used within a large deformation framework due to the ductile character of the materials. This leads to 2 main difficulties that should be dealt with carefully: mesh dependency and volumetric locking. In this work, a logarithmic finite strain framework is adopted in which the Gurson‐Tvergaard‐Needleman constitutive law is reformulated. Then a nonlocal formulation with regularisation of hardening variable is applied so as to solve mesh dependency and strain localization problem. In addition, the nonlocal model is combined with mixed "displacement‐pressure‐volume variation" elements to avoid volumetric locking. Thereby, a mesh‐independent and locking‐free finite strain framework suitable for the modelling of ductile rupture is established. Attention is paid to mathematical properties and numerical performance of the model. Finally, the model parameters are identified on an experimental database for a nuclear piping steel. Simulations of standard test specimens (notched tensile bars and compact tension and single edge notched tensile cracked specimens) are performed and compared to experimental results.