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Multiaxial Thermomechanical Deformation Utilizing a Non-Unified Plasticity Model
Technical Paper
2000-01-0782
ISSN: 0148-7191, e-ISSN: 2688-3627
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Event:
SAE 2000 World Congress
Language:
English
Abstract
The ability to model inelastic deformation is of practical interest in many design applications, especially with the current emphasis on lighter weight structures and components operating at higher temperatures. Thermomechanical deformation poses several challenges in the sense that material properties change with temperature, and at higher temperatures time dependent phenomena such as creep and/or stress relaxation are active deformation mechanisms. Due to recent success modeling many time-independent plastic deformations, recent modifications of the Armstrong-Frederick type plasticity formulations are utilized as a basis for the current model. The choice to implement a non-unified model is based on the notion that distinct or independent mechanisms govern time dependent and independent plastic deformations. The literature also suggests a similar scenario with regard to the damage accumulation. Furthermore, it was deemed desirable to maintain the tensoral nature of both time-independent and “creep” stress-strain behavior especially for more complex multiaxial thermomechanical loadings such as those that may be encountered when analyzing residual stresses resulting from welding. A Sherby-Dorn creep stress power law relationship is utilized to model time-dependent deformation, along with a separate non-translating creep yield surface. Uniaxial isothermal experiments are employed to fit the modeling constants. Uniaxial, torsional and axial-torsional thermomechanical loadings are analyzed with three constraint conditions. Additional isothermal relaxation tests are examined to verify the basic concepts of the model. Omission of an adequate primary creep model is seen to inhibit the predictive capability at some temperature regimes, but the overall qualitative capabilities of the model are in agreement with the experimental results.
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Citation
Kurath, P. and Jones, J., "Multiaxial Thermomechanical Deformation Utilizing a Non-Unified Plasticity Model," SAE Technical Paper 2000-01-0782, 2000, https://doi.org/10.4271/2000-01-0782.Also In
References
- Armstrong, P.J. Frederick, C.O. A Mathematical Representation of the Multiaxial Bauschinger Effect, Report RD/B/N 731, Central Electricity Generating Board, 1966
- Chaboche, J.L. Dang, V.K. Cordier, G. Modelization of the Strain Memory Effect on the Cyclic Hardening of 316 Stainless Steel, Transactions of the Fifth International Conference on Structural Mechanics in Reactor Technology, Div. L, L11/3 Berlin, 1979
- Chaboche, J.L. Cyclic Plasticity Modeling and Ratchetting Effects, Proceedings of the Second International Conference Constitutive Laws for Engineering Materials: Theory and Applications Desal Elsevier 47 58 Tucson, AZ, 1987
- Ohno, N. Wang, J.D. Kinematic Hardening Rules with Critical State of Dynamic Recovery: Part I and II, International J. of Plasticity, 9 375 1993
- Jiang, Y. Cyclic Plasticity with an Emphasis on Ratchetting, Ph.D. Thesis, University of Illinois at Urbana-Champaign, 1993
- Jiang, Y. Kurath, P. A Theoretical Evaluation of Plasticity Hardening Algorithms for Nonproportional Loadings, Acta Mechanica, 213 234 1996
- Jiang, Y. Kurath, P. Characteristics of the Armstrong- Frederick Type Plasticity Models, J. of Mechanics and Physics of Solids, 387 415 1996
- Ashby, M. Frost, H. Deformation-Mechanism Maps, The Plasticity and Creep of Metals and Ceramics Pergamon Press
- Ashby, M.F. A First Report on Deformation-Mechanism Maps Acta Metallurgica, 20 July 1972 887 897
- Slavik, D. Sehitoglu, H. Constitutive Models Suitable for Thermal Loading, ASME Journal of Engineering Materials and Technology, 1986
- Sehitoglu, H. Material Behavior Under Thermal Loading, ASME Journal of Pressure Vessel Technology, 108 113 119 1986
- Neu, R. Sehitoglu, H. Thermomechanical Fatigue, Oxidation, and Creep: Part I, Damage Mechanisms, Metallurgical Transactions A, 20A 1755 1766 1989
- Neu, R. Sehitoglu, H. Thermomechanical Fatigue, Oxidation, and Creep: Part II, Life Prediction Metallurgical Transactions A, 20A 1769 1782 1989
- Miller, A. An Inelastic Constitutive Model of Monotonic, Cyclic, and Creep Deformation: Part I and Part II, J. of Engineering Materials and Technology, 98 v 113 April 1976
- Hart, E.W. Constitutive Relations for the Nonelastic Deformation of Metals, J. of Engineering Materials and Technology, 98 1976 193 202
- Porter, A.R.S. Leckie, F.A. Constitutive Relationships for the Time Dependent Deformation of Metals, J. of Engineering Materials and Technology, 98 January 1976
- Coffin, L.F. Jr. Experimental Support for a Generalized Equation Predicting Low-Cycle Fatigue, J. of Basic Engineering, 84 533 537 1962
- Halford, G.R. Hirschberg, M.H. Manson, S.S. Creep Fatigue Analysis by Strainrange Partitioning, NASA TMX-67838 , 1971
- Manson, S. The Challenge to Unify Treatment of High Temperature Fatigue - A Partisan Proposal Based on Strainrange Partitioning, Fatigue at Elevated Temperatures, ASTM STP 520, American Society for Testing and Materials, 744 782 1973
- Drucker, D.C. A More Fundamental Approach to Plastic Stress-Strain Relations, Proceedings of the First U.S. National Congress of Applied Mechanics (ASME), 487 491 1951
- Jiang, Y. Kurath, P. An Investigation of Cyclic Transient Behavior and Implications on Fatigue Life Estimates, ASME Transactions, Journal of Engineering Materials and Technology, 119 161 170 1997
- Landgraf, R.W. Morrow, J. Endo, T. Determination of the Cyclic Stress-Strain Curve, J. of Materials , ASTM, 4 1 176 188 1969
- Kurath, P. Jiang, Y. Analysis of Residual Stresses and Cyclic Deformation for Induction Hardened Components, SAE Technical Paper Series No. 950707 , Tran, SAE, Sec 5, Journal of Materials and Manufacturing, Society of Automotive Engineers, Warrendale, PA, 603 617 1995
- Ohno, N. Wang, J.D. Two Equivalent Forms of Nonlinear Kinematic Hardening:Applicatio to Nonisothermal Plasticity, International J. of Plasticity, 7 637 650 1991
- Ohno, N. Wang, J.D. Transformation of a Nonlinear Kinematic Hardening Rule to a Multisurface Form under Isothermal and Nonisothermal Conditions, International J. of Plasticity, 7 879 891 1991
- Chaboche, J.L. Time-Independent Constitutive Theories for cyclic Plasticity, International J. of Plasticity, 2 149 188 1986
- Dorn, J.E. Orr, R.L. Sherby, O.D. Creep Correlations of Metals at Elevated Temperatures, AIME J. of Metals, 200 71 79 1954
- Dorn, J.E. The Spectrum of Activation Energies. Energies for Creep Creep and Recovery, American Society of Metals, Metals Park, OH, 255 1957
- Dorn, J.E. Sherby, O.D. Trozera, T.A. Transactions of the American Society of Mechanical Engineers, 56 789 795 1956