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Creep-Plasticity Interaction

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Creep and Damage in Materials and Structures

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 399))

Abstract

Inelastic analyses are needed for predicting the lifetime of one-of-a-kind components operating under severe conditions of loading and environment. Examples are power generation and propulsion machinery and chemical processing plants. The components are subjected to steady and cyclic loading which involves nonlinear monotonic and cyclic behavior. In addition, rate dependence, creep and relaxation are present. These phenomena must be captured in a constitutive equation suitable for inelastic analyses.

The “unified” viscoplasticity theory based on overstress (VBO) was formulated using the experiment-based approach. Servo-controlled testing machines and strain measurements on the gage length are employed to measure the response to a given input. The responses contain the influence of the changing microstructure. In VBO no yield surface is used and rate dependence is present at every temperature. The high temperature formulation has a static recovery term and provides for softening. Softening is the result of diffusion, which counteracts the hardening due to inelastic straining. Low and high homologous temperature qualitative properties such as the behavior under very fast, very slow monotonic, rate-dependent loading are investigated in addition to creep, relaxation and cyclic loading. The low homologous temperature formulation admits a long-time asymptotic solution, which is thought to apply to the “flow” stress region of the stress-strain diagram where special relaxation properties are observed in real materials and in the model. References to papers by the author and his students show that primary, secondary and tertiary creep can be modeled with VBO in addition to anomalous behavior. Inelastic strains are observed and modeled in recovery experiments at zero stress.

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References

  1. Bailey R.W.: Design aspect of creep, Trans. ASME, Journal of Applied Mechanics, (1936), pp. A1–A6.

    Google Scholar 

  2. Odqvist F.K.G. and Huit J.: Kriechfestigkeit Metallischer Werkstoffe, Springer Verlag, Berlin, 1962.

    Book  Google Scholar 

  3. Rabotnov Y.N.: Creep Problems in Structural Members, North Holland, Amsterdam, London, 1969.

    MATH  Google Scholar 

  4. Sehitoglu H.: Thermal and Thermomechanical Fatigue of Structural Alloys, in: ASM Handbook. Volume 19. Fatigue and Fracture (Edited by G. Dieter ), ASM International, Metals Park, Ohio, 1996 pp. 527–556.

    Google Scholar 

  5. Krempl E.: Design for Fatigue Resistance, in: ASM Handbook. Volume 20. Materials Selection and Design (Edited by G. Dieter ), ASM International, Metals Park, Ohio, 1997 pp. 516–532.

    Google Scholar 

  6. Woodford D.A.: Design for High-Temperature Applications, in: ASM Handbook. Volume 20. Materials Selection and Design (Edited by G. Dieter ), ASM International, Metals Park, Ohio, 1997 pp. 571–588.

    Google Scholar 

  7. Frost H.J. and Ashby M.F.: Deformation–Mechanism Maps, Pergamon Press, Oxford, 1982.

    Google Scholar 

  8. Tachibana Y. and Krempl E.: Modeling of high homologous temperature deformation behavior using the viscoplasticity theory based on overstress (VBO): Part I — Creep and tensile behavior, Journal of Engineering Materials and Technology, 117 (1995), pp. 456–461.

    Article  Google Scholar 

  9. Krempl E.: Cyclic Creep — An Interpretive Literature Survey, in: Welding Research Council Bulletin 195, New York, N. Y., 1974 pp. 63–123.

    Google Scholar 

  10. Krempl E.: An experimental study of room–temperature rate sensitivity creep and relaxation of AISI Type 304 Stainless Steel, Journal of the Mechanics and Physics of Solids, 27 (1979), pp. 363–385.

    Article  Google Scholar 

  11. Krempl E.: Models of viscoplasticity. Some comments on equilibrium (back) stress and drag stress, Acta Mechanica, 69 (1987), pp. 25–42.

    Article  Google Scholar 

  12. Krempl E.: A small strain viscoplasticity theory based on overstress, in: Unified Constitutive Laws of Plastic Deformation (Edited by A. Krausz and K. Krausz ), Academic Press, San Diego, 1996 pp. 281–318.

    Chapter  Google Scholar 

  13. Krempl E. and Choi S.H.: Viscoplasticity theory based on overstress: The modeling of ratcheting and cyclic hardening of AISI Type 304 stainless steel, Nuclear Engineering and Design, 133 (1992), pp. 401–410.

    Article  Google Scholar 

  14. Nix W.D., Gibeling J.C. and Hughes D.A.: Time-dependent behavior of metals, Metallurgical Transactions A, 16A (1985), pp. 2215–2226.

    Article  Google Scholar 

  15. LeMay I.: Principles of Mechanical Metallurgy, Elsevier North Holland, Inc, New York, NY, 1981.

    Google Scholar 

  16. Gittus J.: Creep, Viscoelasticty and Creep-Rupture in Solids, Halsted Press a Division of John Wiley and Sons, Inc, New York, 1975.

    Google Scholar 

  17. Odqvist F.K.G.: Mathematical Theory of Creep and Creep Rupture, Clarendon Press, Oxford, 1966.

    MATH  Google Scholar 

  18. Lee K.D. and Krempl E.: Uniaxial thermomechanical loading. Numerical experiments using the thermal viscoplasticity theory based on overstress, European Journal of Mechanics, A/Solids, 10 (1991), pp. 173–192.

    Google Scholar 

  19. Ohashi Y. and Kawai M.: Effects of prior plasticity on subsequent creep of Type 316 stainless steel at elevated temperature, Journal of Engineering Materials and Technology, 108 (1986), pp. 68–74.

    Article  Google Scholar 

  20. Krempl E.: The overstress dependence of the inelastic rate of deformation inferred from transient tests, Materials Sience Research International, 1 (1995), pp. 3–10.

    Google Scholar 

  21. Kujawski D., Kallianpur V.V. and Krempl E.: An experimental study of uniaxial creep, cyclic creep and relaxation of AISI Type 304 stainless steel at room temperature, Journal of the Mechanics and Physics of Solids, 28 (1980), pp. 129–148.

    Article  Google Scholar 

  22. Pugh C.E. and Liu K.: Currently recommended constitutive equations for inelastic design analysis of FFTF components, Technical Report ORNL 3602, Oak Ridge National Laboratory, Oak Ridge, TN, 1972.

    Google Scholar 

  23. Yaguchi M. and Takahashi Y.: Unified inelastic constitutive model for modified 9Cr1Mo steel incorporating dynamic strain aging effect, JSME International Jouranl, Series A, 42 (1999), pp. 1–10.

    Article  Google Scholar 

  24. Ikegami K. and Niitsu Y.: Effect of creep prestrain on subsequent plastic deformation, International Journal of Plasticity, 1 (1985), pp. 331–345.

    Article  Google Scholar 

  25. Hult J.: Creep in Engineering Structures, Blaisdell Publishing Company, Waltham, Toronto, London, 1966.

    Google Scholar 

  26. Krempl E.: Plasticity and variable heredity, Archives of Mechanics, 33 (1981), pp. 289–306.

    MATH  MathSciNet  Google Scholar 

  27. Krausz A. and Krausz K.: Unified Constitutive Laws of Plastic Deformation, Academic Press, San Diego, 1996.

    Google Scholar 

  28. Gittus J. and Zarka J., (eds.): Modeling Small Deformations of Polycrystals, Barking and New York, 1996, Elsevier Applied Science Publisher.

    Google Scholar 

  29. Robinson D.N. and Swindeman R.W.: Unified creep plasticity constitutive equations for 2 1/4 Cr-1 Mo steel at elevated temperature, Technical Report ORNL 8444, Oak Ridge National Laboratory, Oak Ridge, TN, 1982.

    Google Scholar 

  30. Bodner S.R.: Review of a unified elastic-viscoplastic theory, in: Unified Constitutive Equations for Plastic Deformationand Creep of Engineering Alloys (Edited by A. Miller ), Elsevier Science Publisher, 1987 pp. 273–301.

    Chapter  Google Scholar 

  31. Ruggles M.B. and Krempl E.: The interaction of cyclic hardening and ratchetting for AISI Type 304 stainless steel at room temperature — I Experiments. and Il Modeling with the viscoplasticity theory based on overstress, Journal of the Mechanics and Physics of Solids, 38 (1990), pp. 575–597.

    Article  Google Scholar 

  32. Choi S.H. and Krempl E.: Viscoplasticity theory based on overstress: The modeling of biaxial hardening using irreversible plastic strain, in: Advances in Multiaxial Fatigue, American Society for Testing and Materials, STP 1191, San Francisco, 1993.

    Google Scholar 

  33. Hart E.W. and Solomon H.D.: Load relaxation studies of polycrystalline high purity Aluminium, Acta Metallurgica, 21 (1972), pp. 295–307.

    Article  Google Scholar 

  34. Ho K. and Krempl E.: Modeling of rate independence and of negative rate sensitivity using the viscoplasticity theory based on overstress (VBO), Technical Report MML 98–3, Rensselaer Polytechnic Institute and Mechanics of Materials Laboratory, Troy, N.Y., 1998.

    Google Scholar 

  35. Krempl E. and Nakamura T.: The influence of the equilibrium stress growth law formulation on the modeling of recently observed relaxation behaviors, JSME International Journal, Series A, 41 (1998), pp. 103–111.

    Article  Google Scholar 

  36. Majors P.S. and Krempl E.: The isotropic viscoplasticity theory based on overstress applied to the modeling of modified 9Cr-lMo steel at 538C, Materials Science and Engineering, A186 (1994), pp. 23–34.

    Article  Google Scholar 

  37. Krempl E. and Lu H.: The rate (time) dependence of ductile fracture at room temperature, Engineering Fracture Mechanics, 20 (1984), pp. 629–632.

    Article  Google Scholar 

  38. Krempl E. and Kallianpur V.V.: The uniaxial unloading behavior of two engineering alloys at room temperature, Journal of Applied Mechanics, 52 (1985), pp. 654–658.

    Article  Google Scholar 

  39. Bordonaro C.M. and Krempl E.: The rate-dependent mechanical behavior of plastics: A comparison between 6/6 Nylon, Polyetherimid and Polyetheretherketone, in: Use of Plastics and Plastic Composites: Materials and Mechanics Issues, ASME, 1993.

    Google Scholar 

  40. Hassan T. and Kyriakides S.: Ratcheting in cyclic plasticity, Part I: Uniaxial behavior, International Journal of Plasticity, 8 (1992), pp. 91–116.

    Article  Google Scholar 

  41. Lindholm U.S.: Experimental basis for temperature-dependent viscoplastic constitutive equations, Applied Mechanics Reviews, 43 (1990), pp. S338 - S344.

    Article  Google Scholar 

  42. Tachibana Y. and Krempl E.: Modeling of high homologous temperature deformation behavior using the viscoplasticity theory based on overstress (VBO): Part Ill — A simplified model, Journal of Engineering Materials and Technology, 120 (1998), pp. 193–196.

    Article  Google Scholar 

  43. Maciucescu L.: Modeling the deformation behavior of a Pn-Pb solder alloy using the simplified viscoplasticty theory based on overstress (VBO), Journal of Electronic Packaging, (1999), in press.

    Google Scholar 

  44. Lubahn J.D. and Felgar R.P.: Plasticity and Creep of Metals, John Wiley and Sons, New York, London, 1961.

    Google Scholar 

  45. Hart E.W. and C. Y. Li et al: Phenomenological Theory: A Guide to Constitutive Relations and Fundamental Deformation Properties, in: Constitutive Equations in Plasticity (Edited by A. Argon ), MIT Press, Cambridge, MA, 1975 pp. 149–196.

    Google Scholar 

  46. Tachibana Y. and Krempl E.: Modeling of high homologous temperature deformation behavior using the viscoplasticity theory based on overstress (VBO): Part II — Characteristics of the VBO Model, Journal of Engineering Materials and Technology, 119 (1997), pp. 1–6.

    Article  Google Scholar 

  47. Marquis D.: Phenomenology and Thermodynamics: Coupling between Thermoelasticity, Plasticity, Ageing and Damage, Technical Report 307, NASA, Washington D. C., 1990.

    Google Scholar 

  48. Chan K.S. and Lindholm U.S.: Inelastic deformation under nonisothermal loading, Journal of Engineering Materials and Technology, 112 (1990), pp. 15–25.

    Article  Google Scholar 

  49. Niitsu Y., Horigushi A. and Ikegami K.: Effect of temperature variation on plastic behavior of S25C mild steel, International Journal of Pressure Vessel & Pi**, 53 (1993), pp. 511–523.

    Article  Google Scholar 

  50. Chaboche J.-L.: Viscoplastic constitutive equations, Part I: A thermodynamically consistent formulation, Journal of Applied Mechanics, 60 (1993), pp. 813–821.

    Article  MATH  Google Scholar 

  51. Fluegge W.: Viscoelasticity, Blaisdell Publishing Company, Waltham, MA, Toronto, London, 1967.

    Google Scholar 

  52. Ho K.: Application of the viscoplasticity theory based on overstress theory to the modeling of dynamic strain again of metals and to solid polymers, specially Nylon 66, Ph.D. thesis, Rensselaer Polytechnic Institute, Troy, N.Y., 1998.

    Google Scholar 

  53. Nakamura T.: Application of viscoplasticity theory based on overstress (VBO) to high temperature cyclic deformation of 316 FR steel, JSME International Journal, Series A, 41 (1998), pp. 539–546.

    Article  Google Scholar 

  54. Peirce D. and Shih C. F.: A tangent modulus method for rate-dependent solids, Computers and Structures, 18 (1984), pp. 875–887.

    Article  MATH  Google Scholar 

  55. Stouffer D.S. and Dame L.T.: Inelastic Deformation of Metals, John Wiley and Sons, New York, N. Y., 1996.

    Google Scholar 

  56. Cheng S. and Krempl E.: Experimental determination of strain–induced anisotropy during nonproportional straining of an Al/Mg alloy at room temperature, International Journal of Plasticity, 7 (1991), pp. 805–810.

    Article  Google Scholar 

  57. Nortmann A. and Schwink C.: Characteristics of dynamic strain aging in binary f.c.c. copper alloys II. Comparison and analyses of experiments on CuAI and CuMn, Acta Materialia, 45 (1997), pp. 2051–2058.

    Article  Google Scholar 

  58. Nortmann A. and Schwink C.: Characteristics of dynamic strain aging in binary f.c.c. copper alloys-I. results on solid solution sof CuAI, Acta Materialia, 45 (1997), pp. 2043–2050.

    Article  Google Scholar 

  59. Miller A.K. and Sherby O.D.: A simplified phenomenological model for non–elastic deformation: Predictions of pure Aluminum behavior and incorporation of solute strengthening effects, Acta Metallurgica, 26 (1978), pp. 289–304.

    Article  Google Scholar 

  60. Finnie I.: Stress analysis in the presence of creep, Applied Mechanics Reviews, 13 (1960), pp. 705–712.

    MathSciNet  Google Scholar 

  61. Odqvist F.K.G.: Nonlinear Solid Mechanics, Past, Present and Future, in: Proceedings 12th Int. Congress of Applied Mechanics, Springer Verlag, 1969.

    Google Scholar 

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Authors and Affiliations

  1. Rensselaer Polytechnic Institute, Troy, NY, USA

    E. Krempl

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  1. E. Krempl
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Editors and Affiliations

  1. Martin Luther University, Germany

    Holm Altenbach

  2. Cracow University of Technology, Poland

    Jacek J. Skrzypek

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Krempl, E. (1999). Creep-Plasticity Interaction. In: Altenbach, H., Skrzypek, J.J. (eds) Creep and Damage in Materials and Structures. International Centre for Mechanical Sciences, vol 399. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2506-9_6

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  • DOI: https://doi.org/10.1007/978-3-7091-2506-9_6

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83321-6

  • Online ISBN: 978-3-7091-2506-9

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