[Ber02]

BERNASCONI, A.: Efficient algorithms for calculation of shear stress amplitude and amplitude of the second invariant of the stress deviator in fatigue criteria applications. Int J Fatigue 24, 2002, pp. 649-657.

[BKL06]

BOMAS, H.; KUNOW, S.; LÖWISCH, G.; KIENZLER, R.; SCHRÖDER, R.; BACHER-HÖCHST, M.; MÜHLEDER, F.: Crack Initiation and Endurance Limit of a Hard Steel under Multiaxial Cyclic Loading. In: Proceedings of Fatigue 2006 Conference. Ed: Johnson, W. S. Oxford, Elsevier Ltd 2006.

[BPL03]

BANVILLET, A.; PALIN-LUC, T.; LASSERRE, S.: A volumetric energy based high cycle multiaxial fatigue criterion. Int. J. Fatigue 25, 2003, pp. 755-769.

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BANNANTINE, J. A.; SOCIE, D. F.: A multiaxial fatigue life estimation technique. In: Advances in Fatigue Lifetime Predictive Techniques, ASTM STP 1122. Eds.: M. R. Mitchell and R. W. Landgraf. Philadelphia, ASTM 1992. pp. 249-275.

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CARPINTERI, A.; BRIGHENTI, R.; MACHA, E.; SPAGNOLI, A.: Expected principal stress directions under multiaxial random loading. Part II: numerical simulation and experimental assessment through the weight function method. Int. J. Fatigue 21, 1999, pp. 89-96.

[CMB99]

CARPINTERI, A.; MACHA, E.; BRIGHENTI, R.; SPAGNOLI, A.: Expected principal stress directions under multiaxial random loading. Part I: theoretical aspects of the weight function method. Int. J. Fatigue 21, 1999, pp. 83-88.

[CS01]

CARPINTERI, A.; SPAGNOLI, A.: Multiaxial high-cycle fatigue criterion for hard metals. Int. J. Fatigue 23, 2001, pp. 135-145.

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[DS82]

DOWNING, S. D.; SOCIE, D. F.: Simple rainflow counting algorithms. International Journal of Fatigue 4 (1982), No. 1, pp. 31-40.

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[Fin57]

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FATEMI, A.; SOCIE, D. F.: A critical plane approach to multiaxial fatigue damage including out-of-phase loading. Fatigue Fract. Engng. Mater. Struct., Vol. 11 (1988), No. 3, pp. 149-165.

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GONÇALVES, C. A.; ARAÚJO, J. A.; MAMIYA, E. N.: Multiaxial fatigue: a stress based criterion for hard metals. Int. J. Fatigue 27, 2005, pp. 177-187.

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KIM, K.; PARK, J.; LEE, J.: Multiaxial fatigue under variable amplitude loads. J. of Engng. Mater. Tech., Transactions of the ASME, Vol. 121 (1999). pp. 286-293.

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KENMEUGNE, J. L.; VIDAL-SALLE, E.; ROBERT, J. L.; BAHUAUD, R. J.: On a new multiaxial fatigue criterion based on a selective integration approach. In: Fatigue ’96, Proc. of the Sixth Int. Fatigue Congress, Vol. II. Red. G. Lütjering, Berlin, Pergamon 1996, pp. 1013-1018.

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LIU, Y.; MAHADEVAN, S.: Multiaxial high-cycle fatigue criterion and life prediction for metals. Int J Fatigue 27, pp. 790-800. http://people.vanderbilt.edu/~yongming.liu/publications.htm

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LIU, Y.: Stochastic modeling of multiaxial fatigue and fracture. [PhD thesis]. Vanderbilt University, Nashville, TN, 2006. http://people.vanderbilt.edu/~yongming.liu/publications.htm

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MCDIARMID, D. L.: A general criterion for high cycle multiaxial fatigue failure. Fatigue Fract. Engng. Mater. Struct., 14, 1991, No. 4, pp. 429-453.

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MCDIARMID, D. L.: A shear stress based critical-plane criterion of multiaxial fatigue failure for design and life prediction. Fatigue Fract. Engng. Mater. Struct 17, 1994, No. 12, pp. 1475-1484.

[ME68]

MATSUISHI, M.; ENDO, T.: Fatigue of Metals Subjected to Varying Stress. Papers of Japan Society of Mech. Engineers, Fukuoka, March 1968.

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NIHEI, M.; HEULER, P.; BOLLER, C.; SEEGER, T.: Evaluation of mean stress effect on fatigue life by use of damage parameters. Int J Fatigue 8 (1986), No. 3, pp. 119-126.

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NINIC, D.: A stress-based multiaxial high-cycle fatigue damage criterion. Int J Fatigue 28, pp. 103-113.

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NINIC, D.; STARK, H. L.: A multiaxial fatigue damage function. Int J Fatigue 29, pp. 533-548.

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PAPADOPOULOS, I. V.: A new criterion of fatigue strength for out-of-phase bending and torsion of hard metals. Int. J. Fatigue 16, 1994, pp. 377-384.

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PAPADOPOULOS, I. V.: Critical plane approaches in high-cycle fatigue: On the definition of the amplitude and mean value of the shear stress acting on the critical plane. Fatigue Fract. Engng. Mater. Struct., 21, 1998, No. 3, pp. 269-285.

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PAPADOPOULOS, I. V.; DAVOLI, P.; GORLA, C.; FILIPPINI, M.; BERNASCONI, A.: A comparative study of multiaxial high-cycle fatigue criteria for metals. Int. J. Fatigue 19, 1997, No. 3, pp. 219-235.

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PAPUGA, J.: Mapping of Fatigue Damages – Program Shell of FE-Calculation. [PhD thesis]. Prague, CTU in Prague 2005. http://www.pragtic.com/

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PAPUGA, J.; RŮŽIČKA, M.: Návrh nového vysokocyklového multiaxiálního kritéria – revidovaná verze. In: Únava a lomová mechanika 2006. Ed.: V. Mentl. Plzeň, Skoda Research Ltd. 2006. http://www.pragtic.com/ – in Czech only

[PR07]

PAPUGA, J.; RŮŽIČKA, M.: Two new multiaxial criteria for high cycle fatigue computation. Int. J. Fatigue 30, 2008, No. 1, pp. 58-66.

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SOCIE, D. F.: Critical plane approaches for multiaxial fatigue damage asessment. In: Advances in Multiaxial Fatigue, ASTM STP 1191.  Eds: D. L. Dowell and R. Ellis. Philadelphia, ASTM 1993. pp. 7-36.

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SPAGNOLI, A.: A new high-cycle fatigue criterion applied to out-of-phase biaxial stress state. International Journal of Mechanical Sciences 43, 2001, pp. 2581-2595.

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VIDAL-SALLÉ, E.; KENMEUGNE, B.; ROBERT, J. L.; BAHUAUD, J.: On a new multiaxial fatigue criterion based on a selective integration approach. In: Fatigue ’96, Proc. of the Sixth Int. Fatigue Congress, Vol. II. Red. G. Lütjering, Berlin, Pergamon 1996, pp. 983-988.

[WB93]

WANG, C. H.; BROWN, M. W.: A path-independent parameter for fatigue under proportional and nonproportional loading. Fatigue Fract. Engng. Mater. Struct., Vol. 16 (1993), No. 12, pp 1285-1298.

[WB96]

WANG, C. H.; BROWN, M. W.: Life prediction techniques for variable amplitude multiaxial fatigue-Part 1: Theories, Part 2: Comparison with experimental results.  J. of Engng. Mater. Tech., Transactions of the ASME, 118, 1996, pp. 367-374.

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ZENNER, H.; SIMBÜRGER, A.; LIU, J.: On the fatigue limit of ductile metals under complex multiaxial loading. Int. Journal of Fatigue 22, 2000, pp. 137-145.