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Direct methods for limits in plasticity

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper discusses a methodology for the evaluation of shakedown and ratchet limits for an elastic perfectly plastic solid subjected to mechanical and thermal cycles of loading. The steady cyclic state is characterised by a minimum theorem that contains the classical shakedown theorems as a special case. For a prescribed class of kinematically admissible strain rate histories, the minimum of the functional is found by a programming method, the Linear Matching Method, which converges to the least upper bound. Three examples are given for a finite element implementation, rolling contact on a half-space, the behaviour of a complex heat exchanger and the behaviour of a regular particulate metal matrix composite subjected to variable temperature.
Rocznik
Strony
171--187
Opis fizyczny
Bibliogr. 20 poz., rys., wykr.
Twórcy
  • Mathematical Modelling Centre, Department of Engineering, University of Leicester, Leicester, LE1 7RH, UK
autor
  • Mathematical Modelling Centre, Department of Engineering, University of Leicester, Leicester, LE1 7RH, UK
Bibliografia
  • 1. W. T. Koiter, General theorems of elastic-plastic solids, [in:] J. N. Sneddon, R. Hill [Eds.], Progress in Solid Mechanics, 1, 167–221, 1960.
  • 2. D.L. Marriott, Evaluation of deformation or load control of stresses under inelastic condition using elastic finite element stress analysis. Proc. ASME Pressure Vessel and Piping Conference, Pittsburg, PA, PVP-136, 3–9, 1998.
  • 3. R. Seshadri, S. P. Mangalaramanan, Lower bound limit loads using variational concepts: the m – method, International Journal of Pressure Vessels and Piping, 71, 93–106, 1997.
  • 4. J. T. Boyle, R. Hamilton, J. Shi, D. Mackenzie, Simple method of calculating lower bound limit loads for axisymmetric thin shells, J. of Pressure Vessel Tech., 119, 236–24, 1997.
  • 5. H. Chen and A. R. S. Ponter, Application of the linear matching method to the integrity assessment of the high temperature response of structures, [in:] Proceedings of American Society of Mechanical Engineering, PVP-441, 185–196, 2003.
  • 6. R. A. Ainsworth, P. J. Budden, Approximate inelastic analysis of defective components, Nucl. Engrg. Design, 133, 513–523, 1992.
  • 7. R. A. Ainsworth [Ed.], R5: Assessment procedure for the high temperature response of structures. Issue 3. British Energy Generation Ltd, Barnwood, Gloucester, UK, 2003,
  • 8. A. R. S. Ponter, and H. F. Chen, A minimum theorem for cyclic loading in excess of shakedown, with applications to the evaluation of a ratchet limit, European Journal of Mechanics A/Solids, 20, 539–554, 2001.
  • 9. H. F. Chen and A. R. S. Ponter, A method for the evaluation of a ratchet limit and the amplitude of plastic strain for bodies subjected to cyclic loading, European Journal of Mechanics A/Solids, 20, 555–572, 2001.
  • 10. A. R. S. Ponter and M. Engelhardt, Shakedown limits for a general yield condition: Implementation and examples for a von Mises yield condition, European Journal of Mechanics, A/Solids, 19, 423–446, 2000.
  • 11. A. R. S. Ponter, A. D. Hearle, K. L. Johnson, Application of the kinematical shakedown theorem to rolling and sliding point contacts, J. Mech. Phys. Solids, 33, 339–362, 1985.
  • 12. G.M. Hamilton, Explicit equations for the stresses beneath a sliding spherical contact. Proc. Instn. Mech. Engrs., 197C, 53–59, 1983.
  • 13. A. Sackfield, and D. A. Hills, Some useful results in the classical Hertz contact problem, Journal of Strain Analysis, 18, 101–105, 1983.
  • 14. H. F. Chen and A. R. S. Ponter, The linear matching method for shakedown and limit analyses applied to rolling and sliding point contact problems, International Journal of Road Materials and Pavement Design, 2005 (to appear).
  • 15. H. F. Chen and A. R. S. Ponter, Integrity assessment of a 3D tube plate using the linear matching method, Part 1: Shakedown, reverse plasticity and ratchetting, Int. J. Pressure Vessels and Piping, 82, 85–94,2005.
  • 16. H. F. Chen and A. R. S. Ponter, Integrity assessment of a 3D tubeplate using the linear matching method, Part 2: Creep relaxation and reverse plasticity, Int. J. Pressure Vessels and Piping, 82, 95–104, 2005.
  • 17. A. R. S. Ponter and M. Boulbibane, Minimum theorems and the linear matching method for bodies in a cyclic state of creep, European Journal of Mechanics, A/Solids, 21, 899–914, 2003
  • 18. M. Boulbibane and A. R. S. Ponter, A method for the evaluation of design limits for structural materials in a cyclic state of creep, European Journal of Mechanics, A/Solids, 21, 915–925, 2003.
  • 19. D. A. Gokhfeld and O. F. Cherniavsky, Limit analysis of structures at thermal cycling. Sijthoff and Noordhoff, Alpen aan den Rijn, The Netherlands, 1980.
  • 20. C. Polizzotto, Variational methods for the steady state response of elastic-plastic solids subjected to cyclic loads, Int. J. Solids Structures, 40, 2673–2697, 2003.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0006-0015
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