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ZAMM 88(6): Application of Continuum Damage Mechanics in discontinuous crack formation: Forward extrusion chevron predictions
Author(s) -
Soyarslan Cecil,
Tekkaya Erman,
Akyüz Ug̨urhan
Publication year - 2008
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200888105
Subject(s) - extrusion , damage mechanics , subroutine , hyperelastic material , mechanics , continuum mechanics , closure (psychology) , plasticity , materials science , structural engineering , finite element method , computer science , physics , engineering , composite material , economics , market economy , operating system
Materializing Continuum Damage Mechanics (CDM), numerical modeling of discrete internal cracks, namely central bursts, in direct forward extrusion process is presented. Accordingly, in a thermodynamically consistent setting, a local Lemaitre variant damage model with quasi‐unilateral evolution is coupled with hyperelastic‐plasticity. The formulations are constructed in the principal axes where simultaneous and staggered local integration schemes are efficiently developed. To this end, the framework is implemented as ABAQUS/VUMAT subroutine to be used in an explicit FE solution scheme and used in direct forward extrusion simulations for bearing steel 100Cr6. On the numerical side, the performance of the staggered schemes is compared with that of the simultaneous scheme. On the physical side, the relative predictive qualities are observed. Besides, the investigations reveal that, in application of the quasi‐unilateral conditions, the crack closure parameter has an indispensable effect on the damage accumulation zones by determining their internal or superficial character. Combining a suitably selected crack closure parameter with the element deletion procedure, discrete cracks are obtained. The periodicity of the cracks shows well accordance with the experimental facts.