Damage accumulation model for low cycle fatigue

This paper presents the description of damage accumulation for analysis of fatigue life of structural elements under non-proportional loading states. Damage accumulation rule has been formulated incrementally and connected with a monotonic work-hardening curve. The numerical algorithm is decomposed into two calculation blocks. The first presents method for calculation components of stress and strain tensors using a multisurface hardening rule proposed by Mroz. The second block, containing the damage accumulation function and the material failure criteria, is designed for estimating variations of the measure of damage accumulation. Increment of damage accumulation depends on increment of dissipation of energy and condition of stress. The proposed model of damage accumulation enables to define the number of cycles or the time of safe application of complex fatigue loads to arbitrarily shaped machine components.

[1]  J. Morrow,et al.  Low Cycle Fatigue Properties of a 1045 Steel in Torsion , 1985 .

[2]  Darrell F. Socie,et al.  Multiaxial Fatigue: Analysis and Experiments , 1989 .

[3]  H. Nowack,et al.  Further evaluation of the advanced prediction method EVICD for arbitrary multiaxial loading , 2003 .

[4]  Masatoshi Kuroda,et al.  Extremely low cycle fatigue life prediction based on a new cumulative fatigue damage model , 2002 .

[5]  Zenon Mróz,et al.  A non-local stress failure condition for structural elements under multiaxial loading , 1995 .

[6]  A. Varvani-Farahani,et al.  A new energy-critical plane parameter for fatigue life assessment of various metallic materials subjected to in-phase and out-of-phase multiaxial fatigue loading conditions , 2000 .

[7]  K. S. Kim,et al.  fatigue analysis under variable amplitude loading using an energy parameter , 2003 .

[8]  K. J. Miller,et al.  A Theory for Fatigue Failure under Multiaxial Stress-Strain Conditions , 1973 .

[9]  D. Socie Critical Plane Approaches for Multiaxial Fatigue Damage Assessment , 1993 .

[10]  Zenon Mróz,et al.  On the description of anisotropic workhardening , 1967 .

[11]  Tadeusz Lagoda,et al.  Energy models for fatigue life estimation under uniaxial random loading. Part I: The model elaboration , 2001 .

[12]  Andrzej Seweryn,et al.  Brittle fracture criterion for structures with sharp notches , 1994 .

[13]  Grzegorz Glinka,et al.  MEAN STRESS EFFECTS IN MULTIAXIAL FATIGUE , 2007 .

[14]  S. Kocańda Fatigue Failure of Metals , 1978 .

[15]  Grzegorz Glinka,et al.  A MULTIAXIAL FATIGUE STRAIN ENERGY DENSITY PARAMETER RELATED TO THE CRITICAL FRACTURE PLANE , 1995 .

[16]  T. Bogetti,et al.  Low-cycle fatigue of unidirectional composites:: Bi-linear S–N curves , 2002 .

[17]  Gang Wang,et al.  Investigation of the low-cycle fatigue life under multi-axial non-proportional loading , 2003 .

[18]  Y. Garud A New Approach to the Evaluation of Fatigue Under Multiaxial Loadings , 1981 .