Material damage and forming limits of textured sheet metals

Abstract In this paper, the evolution of preferred grain orientation and its effect on plastic deformation and mechanical properties are discussed based on crystallographic theory and the continuum mechanics of textured polycrystals (CMTP) technique. Mechanical damage due to microdefect development is also studied using continuum damage mechanics (CDM). The forming limit strains in biaxially-stretched textured sheet are predicted using the Marciniak–Kuczynski (M–K) model with modification to take into account the damage due to both texture evolution and the presence of microdefects. The results show that the proposed method can significantly reduce the conventional over-estimation of limit strains in the biaxial stretching state.

[1]  A. Needleman,et al.  Void Growth and Local Necking in Biaxially Stretched Sheets , 1978 .

[2]  J. Lemaître.  How to use damage mechanics , 1984 .

[3]  J. Jonas,et al.  Modeling of the plastic anisotropy of textured sheet , 1988, Metallurgical and Materials Transactions A.

[4]  J. M. Jalinier,et al.  Damage in sheet metal forming—I. Physical behavior , 1982 .

[5]  R. Hill,et al.  XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. , 1951 .

[6]  Predictions of limit strains in sheet metal using a plastic damage model , 1988 .

[7]  J. Jonas,et al.  Relation between axial stresses and texture development during torsion testing: A simplified theory , 1985 .

[8]  P. B. Mellor,et al.  Growth of voids in biaxial stress fields , 1980 .

[9]  Bradley Dodd,et al.  Ductile fracture and ductility , 1987 .

[10]  R. Hill,et al.  CXXVIII. A theoretical derivation of the plastic properties of a polycrystalline face-centred metal , 1951 .

[11]  C. Chow,et al.  Prediction of Forming Limit Diagram with Damage Analysis , 1996 .

[12]  F. A. McClintock,et al.  A Criterion for Ductile Fracture by the Growth of Holes , 1968 .

[13]  W. Lee,et al.  Methodology and applications of mesoplasticity in manufacturing sciences , 1993 .

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

[15]  P. B. Mellor,et al.  Predictions of limit strains in sheet metal using a more general yield criterion , 1978 .

[16]  A damage mechanics model for anisotropic material and its application to sheet metal forming , 1988 .

[17]  R. Hill.  Theoretical plasticity of textured aggregates , 1979, Mathematical Proceedings of the Cambridge Philosophical Society.

[18]  W. Lee,et al.  Anisotropic damage of the 2024T3 aluminum alloy , 1995 .

[19]  Z. Marciniak,et al.  Limit strains in the processes of stretch-forming sheet metal , 1967 .