Computational Mechanics

, Volume 17, Issue 1–2, pp 36–48 | Cite as

Constitutive parameter sensitivity in elasto-plasticity

  • M. Kleiber
  • P. Kowalczyk
Originals

Abstract

The paper presents equations and algorithms for numerical computation of elasto-plastic and elasto-viscoplastic constitutive parameter sensitivity problems. The general integration idea is based on the return-mapping algorithm. Two viscoplastic constitutive models are discussed in details: the overstress (Perzyna) model and the power law strain and strain-rate hardening model. The use of the consistent tangent operator is shown to be essential for the accuracy of the sensitivity analysis. A possible discontinuity of sensitivity at the transition (yield limit) point is discussed. It is concluded that in principle the nonuniqueness of the sensitivity solutions at such points does not invalidate the general idea of sensitivity calculations. A number of numerical examples illustrate the theoretical considerations.

Keywords

Sensitivity Analysis Numerical Computation Constitutive Model General Idea Theoretical Consideration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. Kleiber, M. 1993: Shape and non-shape sensitivity analysis for problems with any material and kinematic non-linearity, Comp. Meth. Appl. Mech. Engng., 108: 73–97Google Scholar
  2. Kleiber, M.; Hien, T. D.; Antúnez, H.; Kowalczyk, P. 1995: Parameter sensitivity of elasto-plastic response, Engineering Computations, 12: 263–280Google Scholar
  3. Lee, T. H.; Arora, J. S. 1995: A computational method for design sensitivity analysis of elasto-plastic structures, Comput. Methods Appl. Mech. Engng., 122: 27–50Google Scholar
  4. Michaleris, P.; Tortorelli, D. A.; Vidal, C. A. 1994: Tangent operators and design sensitivity formulations for transient non-linear coupled problems with applications to elastoplasticity, Int. J. Num. Meth. Engng., 37: 2471–2499Google Scholar
  5. Ohsaki, M.; Arora, J. S. 1994: Design sensitivity analysis of elasto-plastic structures, Int. J. Num. Meth. Engng., 37: 737–762Google Scholar
  6. Peirce, D.; Shih, C. F.; Needleman, A. 1984: A tangent modulus method for rate dependent solids, Comput. Struct., 18: 875–887Google Scholar
  7. Perzyna, P. 1963: The constitutive equation for rate-sensitive plastic materials. Quart. Appl. Math., 20: 321–332Google Scholar
  8. Simo, J. C.; Taylor, R. L. 1985: Consistent tangent operators for rate-independent elastoplasticity, Comp. Meth. Appl. Mech. Engng., 48: 101–118Google Scholar
  9. Vidal, C. A.; Haber, R. B. 1993: Design sensitivity analysis for rate-independent elasto-plasticity, Comp. Meth. Appl. Mech. Engng., 107: 393–431Google Scholar
  10. Zhang, Q.; Mukherjee, S.; Chandra, A. 1992: Design sensitivity coefficients for elasto-viscoplastic problems by boundary elements method, Int. J. Num. Meth. Engng., 34: 947–966Google Scholar
  11. Zienkiewicz, O. C. 1997: The Finite Element Method. McGraw-HillGoogle Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • M. Kleiber
    • 1
  • P. Kowalczyk
    • 1
  1. 1.Institute of Fundamental Technological Research, Polish Academy of Sciences ul.WarsawPoland

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