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Buckling of a Rod Undergoing Direct or Reverse Martensite Transformation under Compressive Stresses

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Abstract

Analytical solutions of the problem of buckling of a compressed rod made of a shape-memory alloy, which undergoes direct or reverse martensite phase transition under compressive stresses, are obtained with the use of various hypotheses. Specific features of the experimentally observed buckling phenomenon caused by martensite transformations are described. It is found that the hypotheses of continuing phase transition and continuing loading give the minimum critical loads.

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REFERENCES

  1. M. A. Khusainov, “Analysis of axisymmetric buckling of circular plates,” Zh. Tekh. Fiz., 67, No. 6, 118-120 (1997).

    Google Scholar 

  2. M. A. Khusainov and O. A. Malukhina, “Stability analysis of spherical segments with shape memory,” in: Contemporary Strength Problems, Proc. III Int. Workshop (Staraya Russa, Russia, Sept. 20-24, 1999), Vol. 2, Novgorod (1999), pp. 185-189.

    Google Scholar 

  3. A. A. Movchan and L. G. Sil’chenko, “Stability of Shenley's column in creep or direct thermoelastic transformation,” Mekh. Kompoz. Mater. Konstr., 6, No. 1, 89-102 (2000).

    Google Scholar 

  4. L. G. Sil’chenko, “Buckling of a compressed rod made of a shape-memory alloy in the direct thermoelastic phase transformation,” in: Physics of the Processes of Deformation and Failure and Prediction of Mechanical Behavior of Materials, Proc. XXXVI Workshop “Contemporary Strength Problems” (Vitebsk, Russia, Sept. 26-29, 2000), Part 1, Vitebsk (2000), pp. 359-364.

  5. A. A. Movchan and S. A. Kazarina, “Experimental study of buckling caused by thermoelastic phase transformations under compressive stresses,” Probl. Mashinostr. Nadezh. Mashin, No. 6, 82-89 (2002).

    Google Scholar 

  6. A. A. Movchan, S. A. Kazarina, L. G. Sil’chenko, and A. N. Danilin, “Phenomenon of stability loss due to thermoelastic phase transition under a compressive loading,” in: Proc. 14th U.S. Nat. Congr. Theor. Appl. Mech. (Blacksburg, VA, June 23-28, 2002), Virginia Polytech. Ins. and State Univ., Blacksburg (2002), p. 424.

    Google Scholar 

  7. A. A. Movchan and L. G. Sil'chenko, “The concept of a `continuing phase transition' for the stability analysis of thermoelastic phase transitions,” in: Dynamic and Technological Problems of Structural and Continuum Mechanics, Proc. VIII Int. Symp. (Yaropolets, Russia, Feb. 11-15, 2002), Moscow (2002), pp. 28-29.

  8. F. Shenley, “Column stability beyond elasticity,” in: Mechanics (collected scientific papers) [Russian translation], No. 2 (1951), pp. 88-98.

    Google Scholar 

  9. Yu. N. Rabotnov, “Equilibrium of compressed rods beyond the proportionality limit,” Inzh. Sb., No. 11, 123-126 (1952).

    Google Scholar 

  10. A. A. Movchan, “Micromechanical description of deformation and damage accumulation for in a complex stressed state,” in: Strength of Materials and Structural Elements in a Complex Stressed State, Abstracts of IVth Int. Symp. (Sevastopol’, Russia, June 18-20, 1992), Kiev (1992), pp. 45-46.

  11. A. A. Movchan, “Micromechanical constitutive equations for shape-memory alloys,” Probl. Mashinostr. Nadezh. Mashin, No. 6, 47-53 (1994).

    Google Scholar 

  12. A. A. Movchan, “Micromechanical description of the deformation due to martensite transformations in shapememory alloys,” Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, No. 1, 197-205 (1995).

    Google Scholar 

  13. A. A. Movchan, “Selecting a phase-diagram approximation and a model of the disappearance of martensite crystals for shape memory alloys,” J. Appl. Mech. Tech. Phys., 36, No. 2, 300-307 (1995).

    Google Scholar 

  14. C. Liang and C. A. Rogers, “One-dimensional thermomechanical constitutive relations for shape memory materials,” J. Intell. Mater. Syst. Struct., 1, No. 2, 207-234 (1990).

    Google Scholar 

  15. A. A. Movchan, “Effect of variable elastic moduli and stresses on the phase composition in shape-memory alloys,” Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, No. 1, 79-90 (1998).

    Google Scholar 

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Movchan, A.A., Sil'chenko, L.G. Buckling of a Rod Undergoing Direct or Reverse Martensite Transformation under Compressive Stresses. Journal of Applied Mechanics and Technical Physics 44, 442–449 (2003). https://doi.org/10.1023/A:1023453811735

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  • DOI: https://doi.org/10.1023/A:1023453811735

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