A continuum damage mechanics model for void growth and micro crack initiation

A damage mechanics model is proposed to study the void growth and crack initiation. J2 incremental flow theory along with a damage variable is used to model the material behaviour in elasto-plastic regime. Large deformation (large rotation and finite strain) finite element analysis is carried out for five different cases. In all the cases it is observed that the triaxiality and the plastic strain play an important role in void growth and crack initiation in ductile material. A failure curve is obtained for the material AISI-1090 spheroidised steel. Finally, it is concluded that the critical value of the damage variable can be taken as a crack initiation parameter.

[1]  J. Gurland,et al.  Observations on the fracture of cementite particles in a spheroidized 1.05% c steel deformed at room temperature , 1972 .

[2]  J. D. Embury,et al.  A model of ductile fracture based on the nucleation and growth of voids , 1981 .

[3]  P. Thomason,et al.  Ductile Fracture of Metals , 1990 .

[4]  Wei Hua Tai,et al.  A new microvoid-damage model for ductile fracture , 1986 .

[5]  Percy Williams Bridgman,et al.  Studies in large plastic flow and fracture , 1964 .

[6]  R. Asaro,et al.  A study of void nucleation, growth, and coalescence in spheroidized 1518 steel , 1990 .

[7]  M. A. Crisfield,et al.  Finite elements in plasticity—theory and practice, D. R. J. Owen and E. Hinton, Pineridge Press, Swansea , 1981 .

[8]  P. Thomason,et al.  Three-dimensional models for the plastic limit-loads at incipient failure of the intervoid matrix in ductile porous solids , 1985 .

[9]  K. Bathe,et al.  FINITE ELEMENT FORMULATIONS FOR LARGE DEFORMATION DYNAMIC ANALYSIS , 1975 .

[10]  P. Thomason,et al.  A three-dimensional model for ductile fracture by the growth and coalescence of microvoids , 1985 .

[11]  J. Lemaître A CONTINUOUS DAMAGE MECHANICS MODEL FOR DUCTILE FRACTURE , 1985 .

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

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

[14]  D. M. Tracey,et al.  On the ductile enlargement of voids in triaxial stress fields , 1969 .

[15]  J. W. Hancock,et al.  On the role of strain and stress state in ductile failure , 1983 .