Thermodynamic modeling of creep damage in materials with different properties in tension and compression

A constitutive model is developed to describe the creep response of polycrystalline metals and alloys with different behavior in tension and compression. A second-order damage tensor is introduced in order to describe the creep damage under nonproportional loading in nonisothermal processes. The thermodynamic formulation of the creep equation and the damage evolution equation is used to study the creep behavior and creep damage in the initially isotropic materials. The determination of the material parameters in the proposed equations is demonstrated from a series of basic experiments outlined in this paper. The results generated from the model are compared with those obtained from experiments under uniaxial nonproportional and multiaxial nonproportional loading for both isothermal and nonisothermal processes.

[1]  A. J. McEvily,et al.  Fracture of Structural Materials , 1967 .

[2]  A. Argon,et al.  Creep cavitation in 304 stainless steel , 1981 .

[3]  S. Aliabadi,et al.  High temperature creep fatigue: Current Japanese Material Research - Vol. 3 Edited by R. Ohtani, M. Ohnami and T. Inoue Publishers: Elsevier Applied Science, 280 pages, Price: £44, ISBN: 1 85166 135 2 , 1989 .

[4]  H. Evans.  Mechanisms of creep fracture , 1984 .

[5]  J. Chaboche,et al.  Damage Induced Anisotropy: On the Difficulties Associated with the Active/Passive Unilateral Condition , 1992 .

[6]  Jean-Louis Chaboche,et al.  Development of Continuum Damage Mechanics for Elastic Solids Sustaining Anisotropic and Unilateral Damage , 1993 .

[7]  Dusan Krajcinovic,et al.  Continuous Damage Mechanics Revisited: Basic Concepts and Definitions , 1985 .

[8]  P. W. Davies,et al.  Cavity growth mechanisms during creep , 1966 .

[9]  A.J.M. Spencer,et al.  Theory of invariants , 1971 .

[10]  Jean-Louis Chaboche,et al.  Thermodynamic formulation of constitutive equations and application to the viscoplasticity and viscoelasticity of metals and polymers , 1997 .

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

[12]  Jerome L. Sackman,et al.  On Damage Induced Anisotropy for Fiber Composites , 1994 .

[13]  G. Tilly,et al.  A comparison between the tensile and compressive creep behaviour of an 11 per cent chromium steel , 1972 .

[14]  R. P. Han,et al.  Damage Evolution in Ductile Materials , 1996 .

[15]  Sergio Lagomarsino,et al.  A microcrack damage model for brittle materials , 1993 .

[16]  E. Wolf.  Fatigue crack closure under cyclic tension , 1970 .

[17]  S. R. Bodner,et al.  Damage-induced nonassociated inelastic flow in rock salt , 1994 .

[18]  A. Zolochevsky,et al.  A creep damage model for initially isotropic materials with different properties in tension and compression , 1998 .

[19]  W. Trąmpczyński,et al.  Creep rupture under non-proportional loading , 1980 .

[20]  Hermann Riedel,et al.  Fracture at high temperatures , 1987 .

[21]  Frank Garofalo,et al.  Fundamentals of creep and creep-rupture in metals , 1965 .

[22]  André Dragon,et al.  A Model of Anisotropic Damage by Mesocrack Growth; Unilateral Effect , 1996 .

[23]  Howard L. Schreyer,et al.  A thermodynamically consistent framework for theories of elastoplasticity coupled with damage , 1994 .

[24]  Kunio Hayakawa,et al.  Thermodynamical Modeling of Elastic-Plastic Damage and Experimental Validation of Damage Potential , 1997 .

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

[26]  Z. Bažant,et al.  Stress Analysis for Creep , 1983 .

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

[28]  Sumio Murakami,et al.  A Continuum Theory of Creep and Creep Damage , 1981 .

[29]  D. Wilkinson,et al.  The Effect of Solute Distribution on Creep Fracture in a Ni Alloy , 1985 .

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

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

[32]  A. Bakker.  Mechanical Behaviour of Materials , 1995 .

[33]  F. A. Leckie,et al.  Creep Constitutive Equations for Damaged Materials , 1987 .

[34]  Dusan Krajcinovic,et al.  Damage tensors and the crack density distribution , 1993 .

[35]  Dusan Krajcinovic,et al.  Damage model for brittle elastic solids with unequal tensile and compressive strengths , 1994 .

[36]  F. A. Leckie,et al.  Creep problems in structural members , 1969 .

[37]  J. Chaboche,et al.  Mechanics of Solid Materials , 1990 .