PAPADOPOULOS I V.Critical plane approaches in high-cycle fatigue on the definition of the amplitude and meanvalue of the shear stress acting on the critical plane[J].Fatigue Fract Eng Mater Struct,1998,21(3):269-286.
[2]
KIM K S,PARK J C.Shear strain based multiaxial fatigueparameters applied to variable amplitude loading[J].Int JFatigue,1999,21(5):475-483.
[3]
MOREL F.A critical plane approach for life prediction ofhigh cycle fatigue under multiaxial variable amplitudeloading[J].Int J Fatigue,2000,22(2):101-119.
[4]
BISBOP F E.Characterizing the non-proportional and out-of-phase extent of tensor paths[J].Fatigue Fract EngMater Struct,2000,23(12):1019-1032.
[5]
JIANG Y.A fatigue criterion for general multiaxial loading[J].Fatigue Fract Eng Mater Struct,2000,23(1):19-32.
[6]
SHANG D G,SUN G Q,YAN C L,et al.Creep-fatiguelife prediction under fully-reversed multiaxial loading athigh temperatures[J].Int J Fatigue,2007,29(4):705-712.
[7]
LI J,ZHANG Z P,SUN Q,et al.A new multiaxialfatigue damage model for various metallic materials underthe combination of tension and torsion loadings[J].Int JFatigue,2009,31(4):776-781.
[8]
SOCIE D F,WAILL L,DITTMER D.Biaxial fatigue ofinconel 718 including mean stress effects[M]∥MILLERK J,BROWN M W.Multiaxial Fatigue.Philadelphia:ASTM,1985:463-481.
[9]
SOCIE D F,KURATH P,KOCH J.A multiaxial fatiguedamage parameter[M]∥BROWN M W,MILLER K J.Biaxial and Multiaxial Fatigue.London:MechanicalEngineering Publication,1989:535-550.
[10]
KALLURI S,BONACUSE P J.In-phase and out-of-phaseaxial-torsional fatigue behavior of Haynes 188 at 760℃[J].NASA Technical Memorandum,1991,105765(10):1-20.
[11]
KALLURI S,BONACUSE P J.Elevated temperatureaxial and torsional fatigue behavior of Haynes 188[J].ASME J Eng Mater Tech,1995,117(2):191-199.
[12]
FATEMI A,SOCIE D F.A critical plane approach tomultiaxial fatigue damage including out-of-phase loading[J].Fatigue Fract Eng Mater Struct,1998,11(3):149-165.
[13]
STEPHANOV S H.The curvilinear integral method:computer realiation and testing 1-under non-proportionalreserved axial force and torque[J].Int J Fatigue,1995,17(8):567-575.
[14]
PITOISET X,PRENMORT A.Spectral methods formultiaxial random fatigue analysis of metallic structures[J].Int J Fatigue,2000,22(7):541-550.
[15]
PITOISET X,RYCHLIK I,PRENMORT A.Spectralmethods to estimate local multiaxial fatigue failure forstructures undergoing random vibrations[J].Fatigue FractEng Mater Struct,2001,24(11):715-727.
