Anisotropic continuum damage modeling for single crystals at high temperatures

Abstract In single crystals, the process of creep damage is generally anisotropic. Indeed, the damage evolution does not only depend on the loading conditions, but also on the lattice orientation. And the current state of damage has an anisotropic influence on the effective stress state, so that it is represented by a tensorial damage variable. Based on the continuum damage mechanics theory, a creep damage model for F.C.C. single crystals has been developed and implemented in a three-dimensional anisotropic creep model. It is shown that the resulting material model is capable of describing the orientation dependence of the creep and damage evolution of nickel-based superalloys in the high temperature regime.

[1]  David R Hayhurst,et al.  Creep rupture under multi-axial states of stress , 1972 .

[2]  C. L. Chow,et al.  An anisotropic theory of elasticity for continuum damage mechanics , 1987 .

[3]  Dusan Krajcinovic,et al.  Some fundamental issues of damage mechanics , 1995 .

[4]  D. Krajcinovic,et al.  Introduction to continuum damage mechanics , 1986 .

[5]  T. Lu,et al.  On constitutive equations of inelastic solids with anisotropic damage , 1990 .

[6]  C. L. Chow,et al.  Ductile fracture characterization with an anisotropic continuum damage theory , 1988 .

[7]  B. F. Dyson,et al.  Creep of Nimonic 80A in torsion and tension , 1977 .

[8]  C. L. Chow,et al.  A finite element analysis of continuum damage mechanics for ductile fracture , 1988, International Journal of Fracture.

[9]  C. Chow,et al.  A Unified Damage Approach for Predicting Forming Limit Diagrams , 1997 .

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

[11]  Jean Lemaitre,et al.  A Course on Damage Mechanics , 1992 .

[12]  Taehyo Park,et al.  Anisotropic Damage Effect Tensors for the Symmetrization of the Effective Stress Tensor , 1997 .

[13]  Jiann-Wen Ju,et al.  ISOTROPIC AND ANISOTROPIC DAMAGE VARIABLES IN CONTINUUM DAMAGE MECHANICS , 1990 .

[14]  C. L. Chow,et al.  On evolution laws of anisotropic damage , 1989 .

[15]  Albrecht Bertram,et al.  Anisotropic creep modelling of the single crystal superalloy SRR99 , 1996 .

[16]  F. A. Leckie,et al.  Representation of Mechanical Behavior in the Presence of Changing Internal Structure , 1988 .

[17]  C. L. Chow,et al.  An anisotropic theory of continuum damage mechanics for ductile fracture , 1987 .

[18]  David R Hayhurst,et al.  Creep in Structures , 1981 .

[19]  J. Ju,et al.  On energy-based coupled elastoplastic damage theories: Constitutive modeling and computational aspects , 1989 .

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

[21]  F. Sidoroff,et al.  Damage Induced Elastic Anisotropy , 1982 .

[22]  T. Lehmann Thermodynamical foundations of large inelastic deformations of solid bodies including damage , 1991 .

[23]  M. F. Ashby,et al.  On creep fracture by void growth , 1982 .

[24]  L. Briottet Damage in a viscoplastic material—Part II. Overall behaviour , 1998 .

[25]  Michael Ortiz,et al.  A constitutive theory for the inelastic behavior of concrete , 1985 .