A fatigue failure criterion for multiaxial loading with phase shift and mean value

Skibicki, D.

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A fatigue failure criterion for multiaxial loading with phase shift and mean value

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Skibicki D.

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Kryterium wytrzymałości zmęczeniowej w warunkach wieloosiowych obciążeń z udziałem przesunięcia fazowego i wartości średnich

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Abstrakty

A new criterion based on the critical plane approach has been developed for multiaxial non-proportional fatigue failure. The criterion correctly takes into account the influence of phase shift and mean values under combined bending and torsion loading. From a certain point of view, the criterion with such a defined non-proportionality measure can be understood as a combination of the two approaches: critical plane and integral approach. The criterion has the following form ... where the multiplicand of the equivalent shear stress ... contains the amplitude of the shear stress ... , the amplitude ... and mean value ... of the normal stress acting in the critical plane. The multiplier contains the loading non-proportionality measure H. Taking into account the fact of different sensitivity of various materials to loading non-proportionality, the equation also includes the material data: t-1 - fatigue limit torsion, b-1 - fatigue limit in bending. The predictive capability of the criterion was demonstrated by analyzing 67 experimental results from the literature. The predicted results are generally in good agreement with the experimental ones.

Opracowano nowe, oparte o koncepcje płaszczyzny krytycznej kryterium dla wieloosiowej wytrzymałości zmęczeniowej. Kryterium poprawnie ujmuje wpływ przesunięcia fazowego i wartości średnich w warunkach kombinacji zginania i skręcania. Z pewnego punktu widzenia, tak zdefiniowane kryterium może być rozumiane jako kombinacja dwóch modeli: płaszczyzny krytycznej i podejścia całkowitego (nielokalnego). Kryterium ma następującą postać ... gdzie mnożna naprężenia zredukowanego ... zawiera amplitudę naprężenia stycznego ... , amplitudę ... i wartość średnią ... naprężenia normalnego działających w płaszczyźnie krytycznej. Mnożnik zawiera miarę nieproporcjonalności obciążenia H. Biorąc pod uwagę fakt różnej wrażliwości materiałów na nieproporcjonalność obciążenia, równanie zawiera również dane materiałowe t-1 - granicę zmęczenia na skręcanie, b-1 - granicę zmęczenia na zginanie. Zgodność wyników obliczeń z wynikami uzyskanymi eksperymentalnie została zweryfikowana na 67 danych zaczerpniętych z literatury. Zgodność ta w większości przypadków jest satysfakcjonująca.

Słowa kluczowe

high cycle fatigue multiaxial fatigue non-proportional loading out-of-phase loading mean value

Wydawca

Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej

Czasopismo

Journal of Theoretical and Applied Mechanics

Rocznik

2004

Tom

Vol. 42 nr 2

Strony

295--314

Opis fizyczny

Bibliogr. 34 poz., rys., tab.

Twórcy

autor

Skibicki D.

darski@atr.bydgoszcz.pl

Faculty of Mechanical Engineering, University of Technology and Agriculture in Bydgoszcz

Bibliografia

1. Dang Van K., Griveau B., Message O., 1989, On a new multiaxial fatigue limit criterion: theory and application, Biaxial and Multiaxial Fatigue, EGF 3, Edited by M.W. Brown and K.J. Miller, Mechanical Engineering Publications Limited, London, 479-496
2. Dietrich L., Turski K., 1972, Badania zmęczeniowe w złożonym stanie naprężenia, Mechanika Teoretyczna i Stosowana, 10, 1, 9-28
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9. Itoh T., Nakata T., Sakane M., Ohnami M., 1997, Nonproportional low cycle fatigue of 6061 Aluminum alloy under 14 strain paths, Proceedings of the 5th International Conference on Biaxial/Multiaxial Fatigue and Fracture, Edited by E. Macha, Z. Mróz, Technical University of Opole, Opole, 1, 173-187.
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11. Kanazawa K., Miller K.J., Brown M.W., 1979, Cyclic deformation of 1% Cr-Mo-V steel under out-of-phase loads, Fatigue of Engineering Materials and Structures, 2, 217-228
12. Lee Y.L., 1985, A criterion for fully reversed out-of-phase torsion and bending, Multiaxial Fatigue, ASTM STP, 853, Edited by K.J. Miller and M.W. Brown, American Society for Testing Materials, Philadelphia, 553-568
13. Lee S.B., 1989, Out-of-phase, combined bending and torsion fatigue of steels, Biaxial and Multiaxial Fatigue, EGF 3, Edited by M.W. Brown and K.J. Miller, Mechanical Engineering Publications Limited, London, 621-634
14. Lemmp W., 1977, Strength Behavior of Steels Under Multiaxial Long Life Fatigue Loading Consisting of Stresses with Superimposed Shear Stresses Both In-Phase and Out-of-Phase, Ph.D. Thesis, University of Stuttgart
15. McDiarmid D.L., 1981, Fatigue behaviour under out-of-phase bending and torsion, Aeronautical Journal, 842, 118-122
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18. McDiarmid D.L., 1990, A general criterion of high cycle multiaxial fatigue failure, Fatigue and Fracture of Engineering Materials and Structures, 14, 4, 429-454
19. Morel F., Ranganathan N., Petit J., Bignonnet A., 1997, A mesoscopic approach for fatigue life prediction under multiaxial loading, Proceedings of the 5th International Conference on Biaxial/Multiaxial Fatigue and Fracture, Edited by E. Macha, Z. Mróz, Technical University of Opole, Opole, 1, 155-172
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21. Papadopoulos I.V., 1995, A high cycle fatigue criterion applied in biaxial and triaxial out-of-phase stress conditions, Fatigue and Fracture of Engineering Materials and Structures, 18, 1, 79-91
22. Papadopoulos I.V., 1997, A comparative study of multiaxial high-cycle fatigue criteria for metals, International Journal of Fatigue, 3, 219-235
23. Rios E.R., Andrews R.M., Brown M.W., Miller K.J., 1989, Out-ofphase cyclic deformation and fatigue fracture studies on 316 Stainless steel, Biaxial and Multiaxial Fatigue, EGF 3, Edited by M.W. Brown and K.J. Miller, Mechanical Engineering Publications Limited, London, 659-682
24. Sakane M., Itoh T., Kida S., Ohnami M., Socie D.F., 1997, Dislocation structure and non-proportional hardening of type 403 Stainless steel, Proceedings of the 5th International Conference on Biaxial/Multiaxial Fatigue and Fracture, Edited by E. Macha, Z. Mróz, Technical University of Opole, Opole, 1, 189-206
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26. Skibicki D., Sempruch J., 2001, The concept of non-proportional parameter in a complex fatigue load state, Proceedings of the 6th International Conference on Biaxial/Multiaxial Fatigue and Fracture, Editor M. Moreira de Freitas, Instituto Superior Tecnico, Lisboa, 1, 305-312
27. Skibicki D., Sempruch J., 2002, Concept of a non-proportionality parameter in a complex fatigue load state, Journal of Theoretical and Applied Mechanics, 40, 2, 389-400
28. Skibicki D., Sempruch J., 2002, Non-proportionality measure and complex loading dtate criterion, XIX Sympozjum Zmęczenie i Mechanika Pękania, Wydawnictwa Uczelniane Akademii Techniczno-Rolniczej, Bydgoszcz, 351-359
29. Socie D., 1987, Multiaxial fatigue damage models, Transactions of the ASME, Journal of Engineering Materials and Technology, 109, 293-298
30. Sonsino C.M., 1983, Schwingfestigkeitsverhalten von Sinterstahl unter kombinierten mehrachsiger phasegleichen und phasenverschobenen Beanspruchungszustande, LBF Darmstat, Bericht Nr FB-168
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34. Witt M., Zenner H., Yousefi F., 2001, Fatigue strength of welded components under multiaxial random loading comparison of different lifetime prediction concepts, Proceedings of the Sixth international Conference on Biaxial/Multiaxial Fatigue and Fracture, Editor M. Moreira de Freitas, Instituto Superior Tecnico, Lisboa, 1, 29-40

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Bibliografia

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