Constitutive model for time-dependent ratchetting of SS304 stainless steel: simulation and its finite element analysis

Jiang, X.; Zhu, Y.; Hong, J.; Zhang, Y.; Kan, Q.

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Tytuł artykułu

Constitutive model for time-dependent ratchetting of SS304 stainless steel: simulation and its finite element analysis

Autorzy

Jiang X. , Zhu Y. , Hong J. , Zhang Y. , Kan Q.

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Warianty tytułu

Konstytutywny model zależnego od czasu zjawiska ratchetingu dla stali SS304 – symulacja i analiza metodą elementów skończonych

Języki publikacji

Abstrakty

Time-dependent ratchetting behaviour of SS304 stainless steel was experimentally conducted at room temperature and 973K. The material shows distinct time-dependent deformation. However, under cyclic stressing with a certain peak/valley stress hold and at 973K, more significant time-dependent inelastic behaviour was observed. Based on the Abdel-Karim-Ohno nonlinear kinematic hardening rule with the static recovery term, a time-dependent hardening rule incorporating an internal variable in the dynamic recovery term of the back stress is proposed to reasonably describe the evolution behaviour of time-dependent ratchetting with a certain peak/valley stress hold and at high temperature. Simultaneously, the proposed model is implemented into the ANSYS finite element package by User Programmable Features (UPFs). It is shown that the customized ANSYS model exhibits better performance than the reference model, especially under cyclic stressing with the certain peak/Valley stress hold and at high temperature.

W pracy przedstawiono wyniki badań eksperymentalnych nad zależnym od czasu procesem zmęczeniowym typu ratcheting przeprowadzonych w temperaturze pokojowej oraz podwyższonej do 973K. Materiał wykazał wyraźnie zależną od czasu funkcję deformacji. Podczas cyklicznego obciążania przy zadanych wartościach min/max naprężeń w temperaturze 973K zaobserwowano silnie nieliniowe i zależne od czasu zachowanie się badanej stali. Do wyjaśnienia tego zjawiska, zwanego ratchetingiem zależnym od czasu, wykorzystano model umocnienia materiału oparty na nieliniowej formule kinematycznego umocnienia Abdela-Karima-Ohno ze statycznym członem odprężania. Model ten zmodyfikowano, wprowadzając wewnętrzną zmienną w dynamicznym członie odprężania przy obciążeniu powrotnym. Jednocześnie zaproponowany model wdrożono do systemu ANSYS poprzez zastosowanie pakietu User Programmable Features (UPFs). Wykazano, że taka modyfikacja systemu ANSYS charakteryzuje się lepszym działaniem w stosunku do standardowego oprogramowania. Jest to szczególnie zauważalne dla symulacji cyklicznego obciążenia stali w podwyższonej temperaturze.

Słowa kluczowe

ratchetting time-dependence constitutive model finite element method

Wydawca

Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej

Czasopismo

Journal of Theoretical and Applied Mechanics

Rocznik

2013

Tom

Vol. 51 nr 1

Strony

63--73

Opis fizyczny

Bibliogr. 26 poz., rys., tab.

Twórcy

autor

Jiang X.

jxj97011311@yahoo.com.cn

Xi’an Jiaotong University, Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, Xi’an, PR China

autor

Zhu Y.

yszhu@mail.xjtu.edu.cn

Xi’an Jiaotong University, Theory of Lubrication and Bearing Institute, Xi’an, PR China

autor

Hong J.

jhong@mail.xjtu.edu.cn

Xi’an Jiaotong University, State Key Laboratory for Manufacturing System, Xi’an, PR China

autor

Zhang Y.

yyzhang1@mail.xjtu.edu.cn

Xi’an Jiaotong University, Theory of Lubrication and Bearing Institute, Xi’an, PR China

autor

Kan Q.

qianhuakan@yahoo.com.cn

Southwest Jiaotong University, School of Mechanics and Engineering, Chengdu, PR China

Bibliografia

1. Abdel-Karim M., 2005, Numerical integration method for kinematic hardening rules with partial activation of dynamic recovery term, International Journal of Plasticity, 21, 1303-1321
2. Abdel-Karim M., 2010, An evaluation for several kinematic hardening rules on prediction of multiaxial stress-controlled ratchetting, International Journal of Plasticity, 26, 711-730
3. ANSYS Release 5.1, 1995, Swanson Analysis System, Inc., Houston, PA 15342
4. Chaboche J.L., 1977, Viscoplastic constitutive equations for description of cyclic and anisotropic behaviour of metals, Bulletin De L Academie Polonaise Des Sciences-Serie Des Sciences Techniques, 25, 39-48
5. Chaboche J.L., 1991, On some modifications of kinematic hardening to improve the description of ratchetting effects, International Journal of Plasticity, 7, 661-678
6. Chen X., Jiao R., 2004, Modified kinematic hardening rule for multiaxial ratchetting prediction, International Journal of Plasticity, 20, 871-898
7. Hassan T., Zhu Y., Matzen V.C., 1998, Improved ratchetting analysis of piping components, International Journal of Pressure Vessels and Piping, 75, 643-652
8. Jiang Y.Y., Sehitoglu H., 1994, Cyclic ratchetting of 1070 steel under multiaxial stress states, International Journal of Plasticity, 10, 579-608
9. Kan Q.H., Kang G.Z., Zhang J., 2007, Uniaxial time-dependent ratchetting: Visco-plastic model and finite element application, Theoretical and Applied Fracture Mechanics, 47, 133-144
10. Kang G.Z., 2004, A visco-plastic constitutive model for ratchetting of cyclically stable materials and its finite element implementation, Mechanics of Materials, 36, 299-312
11. Kang G.Z., 2006, Finite element implementation of visco-plastic constitutive model with strainrange-dependent cyclic hardening, Communications in Numerical Methods in Engineering, 22, 137-153
12. Kang G.Z., Gao Q., 2004, Temperature-dependent cyclic deformation of SS304 stainless steel under non-proportionally multiaxial load and its constitutive modeling, Advances in Engineering Plasticity and Its Applications, Pts 1 and 2, 274-276, 247-252
13. Kang G.Z., Gao Q., Yang X.J., 2002, A visco-plastic constitutive model incorporated with cyclic hardening for uniaxial/multiaxial ratchetting of SS304 stainless steel at room temperature, Mechanics of Materials, 34, 521-531
14. Kang G.Z., Kan Q.H., 2007, Constitutive modeling for uniaxial time-dependent ratcheting of SS304 stainless steel, Mechanics of Materials, 39, 488-499
15. Kang G.Z., Kan Q.H., Zhang J., 2006, Time-dependent ratchetting experiments of SS304 stainless steel, International Journal of Plasticity, 22, 858-894
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18. McDowell D.L., 1995, Stress state dependence of cyclic ratchetting behaviour of two rail steels, International Journal of Plasticity, 11, 397-421
19. Ohno N., Abdel-Karim M., 2000, Uniaxial ratchetting of 316FR steel at room temperature-Part II: Constitutive modeling and simulation, ASME Journal of Engineering Materials and Technology, 122, 35-41
20. Rahman S.M., Hassan T., Corona E., 2008, Evaluation of cyclic plasticity models in ratchetting simulation of straight pipes under cyclic bending and steady internal pressure, International Journal of Plasticity, 24, 1756-1791
21. Taleb L., Cailletaud G., 2011, Cyclic accumulation of the inelastic strain in the 304L SS under stress control at room temperature: Ratcheting or creep?, International Journal of Plasticity, In Press, Corrected Proof
22. Yaguchi M., Takahashi Y., 2005a, Ratchetting of viscoplastic material with cyclic softening:I. Experiments on modified 9Cr-1Mo steel, International Journal of Plasticity, 21, 43-65
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24. Yaguchi M., Yamamoto M., Ogata T., 2002a, A viscoplastic constitutive model for nickel-base superalloy, part 1: kinematic hardening rule of anisotropic dynamic recovery, International Journal of Plasticity, 18, 1083-1109
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26. Zhan Z.L., Tong J., 2007, A study of cyclic plasticity and viscoplasticity in a new nickel-based superalloy using unified constitutive equations. Part II: Simulation of cyclic stress relaxation, Mechanics of Materials, 39, 73-80

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Bibliografia

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