Abstract
A double-variable damage model was introduced into the constitutive equations to demonstrate the effect of the material damage for the isotropic elastic, hardening, and damage states, and for the isothermal process. The shear damage variable D s and the bulk damage variable D b may be, respectively, used to describe the effect of shear damage and bulk damage for material properties without the superfluous constraint, D b=D s, that is found in the single-variable damage model. The double-variable damage model was implemented to form the finite element code for analyzing the effect of shear damage and bulk damage. In this article, two numerical simulation examples were completed to model the whole process of initiation and propagation of shear bands in an aluminum alloy. The numerical computational results are coincident with the experimental results.
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C.Y. Tang, T.C. Lee, B. Roa, and C.L. Chow, An Experimental Study of Shear Damage Using In-Situ Shear Test, Int. J. Damage Mech., Vol 11, 2002, p 335–353
Z.H. Chen, L.C. Chan, T.C. Lee, and C.Y. Tang, An Investigation on the Formation and Propagation of Shear Band in Fine-Blanking Process, J. Mater. Proc. Technol., Vol 138, 2003, p 610–614
R. Hill, Acceleration Waves in Solids, J. Mech. Phys. Solids, Vol 10, 1962, p 1–16
J.R. Rice, The Localization of Plastic Deformation, Proceedings of 14th International Congress Theoretical and Applied Mechanics, W.T. Koiter, Ed., (Amsterdam, New York), North-Holland, 1977
M. Bruknig, S. Berger, and H. Obrecht, Numerical Simulation of the Localization Behavior of Hydrostatic-Stress-Sensitive Metals, Int. J. Mech. Sci., Vol 42, 2000, p 2147–2166
C.Y. Tang, C.L. Chow, W. Shen, and W.H. Tai, Development of a Damage-Based Criterion for Ductile Fracture Prediction in Sheet Metal Forming, J. Mater. Proc. Technol., Vol 91, 1999, p 270–277
C.Y. Tang and W.H. Tai, Material Damage and Forming Limits of Textured Sheet Metals, J. Mater. Proc. Technol., Vol 99, 2000, p 135–140
K. Saanouni, K. Nesnas, and Y. Hammi, Damage Modeling in Metal Forming Processes, Int. J. Damage Mech., Vol 9, 2000, p 196–240
J. Lemaitre, Coupled Elasto-Plasticity and Damage Constructive Equations, Comput. Methods Appl. Mech. Eng., Vol 51, 1985, p 31–49
C.L. Chow and J. Wang, An Anisotropic Theory of Elasticity for Continuum Damage Mechanics, Int. J. Fract., Vol 33, 1987, p 3–16
C.L. Chow and J. Wang, An Anisotropic Theory of Continuum Damage Mechanics for Ductile Fracture, Eng. Fract. Mech., Vol 27, 1987, p 547–558
C.L. Chow and J. Wang, Ductile Fracture Characterization With an Anisotropic Continuum Damage Theory, Eng. Fract. Mech., Vol 30, 1988, p 547–563
A.L. Gurson, Continuum Theory of Ductile Rupture by the Void Nucleation and Growth, J. Eng. Mater. Technol., Vol 99, 1977, p 2–15
Anon., ABAQUS/Explicit User’s Manual (Version 5.8), Hibbitt, Karlsson & Sorensen, Inc, 1998
“Standard Test Method for Shear Testing of Thin Aluminum Alloy Products,” B 831–93, 1996 Annual Book of ASTM Standards, Vol 02.02, Aluminum and Magnesium Alloys, ASTM, p 590–592
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Lee, T.C., Tang, C.Y. & Chan, L.C. Numerical analysis of shear deformation localization using a double-variable damage model. J. of Materi Eng and Perform 13, 548–556 (2004). https://doi.org/10.1361/10599490420575
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DOI: https://doi.org/10.1361/10599490420575