Comparison between Gurson and Lemaitre damage models in wiping die bending processes

This paper is devoted to a finite element prediction of material damage distribution within the workpiece during wiping die bending processes. The damage mechanics approach has been used in this investigation in order to describe the progressive damage evolution within the sheet. A comparative study between the results obtained by the simulations using the Lemaitre and Gurson damage models is presented and discussed. The elastoplastic constitutive laws are integrated by means of an incremental formulation which has been implemented in the finite element code ABAQUS. The punch load, influenced by the friction coefficient, is investigated for different cases of die radius. The springback angle, which depends on the elastic properties of the material, is computed for all cases. Both models give similar results in the modelling of bending operations. The Gurson one is shown to have more flexibility for applications.

[1]  J. C. Simo,et al.  Strain- and stress-based continuum damage models—II. Computational aspects , 1987 .

[2]  Ridha Hambli,et al.  Comparison between Lemaitre and Gurson damage models in crack growth simulation during blanking process , 2001 .

[3]  Pc Pandey,et al.  An isotropic damage model for ductile material , 1995 .

[4]  J. C. Simo,et al.  Consistent tangent operators for rate-independent elastoplasticity☆ , 1985 .

[5]  Nicola Bonora,et al.  A nonlinear CDM model for ductile failure , 1997 .

[6]  Dusan Krajcinovic,et al.  CONTINUUM DAMAGE MECHANICS , 1984 .

[7]  Viggo Tvergaard,et al.  Mechanical modelling of ductile fracture , 1991 .

[8]  Issam Doghri,et al.  Numerical implementation and analysis of a class of metal plasticity models coupled with ductile damage , 1995 .

[9]  Du-yi Ye.  An approach to investigate pre-nucleation fatigue damage of cyclically loaded metals using Vickers microhardness tests , 2001 .

[10]  Dusan Krajcinovic,et al.  Constitutive Equations for Damaging Materials , 1983 .

[11]  J. C. Simo,et al.  Strain- and stress-based continuum damage models—I. Formulation , 1987 .

[12]  Tiejun Wang,et al.  Unified CDM model and local criterion for ductile fracture—I. Unified CDM model for ductile fracture , 1992 .

[13]  A. Gurson.  Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media , 1977 .

[14]  C. Y. Tang,et al.  Material damage and forming limits of textured sheet metals , 2000 .

[15]  Mattias Widmark,et al.  Low cycle constant amplitude fully reversed strain controlled testing of low carbon and stainless sheet steels for simulation of straightening operations , 2000 .

[16]  Golam Newaz,et al.  Low cycle fatigue life estimation for ductile metals using a nonlinear continuum damage mechanics model , 1998 .

[17]  J. Chaboche.  Continuum Damage Mechanics: Part II—Damage Growth, Crack Initiation, and Crack Growth , 1988 .

[18]  J. Chaboche.  Continuum Damage Mechanics: Part I—General Concepts , 1988 .

[19]  U. P. Singh,et al.  Finite element simulation of the punching/blanking process using in-process characterisation of mild steel , 2003 .

[20]  Sang-Moon Hwang,et al.  Finite element analysis and design in stainless steel sheet forming and its experimental comparison , 2001 .

[21]  I. Sevostianov,et al.  On the yield condition for anisotropic porous materials , 2001 .

[22]  Wang Tiejun,et al.  Further investigation of a new continuum damage mechanics criterion for ductile fracture: Experimental verification and applications , 1994 .

[23]  Igor Tsukrov,et al.  Effective moduli of an anisotropic material with elliptical holes of arbitrary orientational distribution , 2000 .

[24]  Issam Doghri,et al.  Fully implicit integration and consistent tangent modulus in elasto‐plasticity , 1993 .