Relation between shakedown and shape memory of metallic materials considering their mesoscale and atomic scale substructures

• Autorzy: Kafka V. , Vokoun D.
• Języki publikacji: EN

Abstrakty

EN

Shakedown (SD) and shape memory (SM) - generally looked upon as two different phenomena - are shown to have close relations from the point of view of their mechanisms, if considering the respective mesoscale processes on the one hand and the atomic scale processes on the other hand. With the use of the general mesomechanical concept of the first author, their constitutive equations are formulated using the same basic formulae, but with different meanings of the symbols. Constitutive equations are based on the description of internal stresses, in the case of SD on the mesoscale, in the case of SM on the atomic scale. Whereas in the case of SD, plastic deformation means shifting of atomic blocks and changing atomic neighbors, in the case of a diffusionless SM the atomic neighbors are maintained, what simplifies the analysis.

Słowa kluczowe

EN

shakedown; shape memory; mesomechanics; analysis

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2009
• Tom: Vol. 61, nr 6
• Strony: 445--458
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Kafka V.

autor

Vokoun D.

• Institute of Theoretical and Applied Mechanics, ASCR Prosecka 76, 19000 Prague, Czech Republic,

Bibliografia

• 1. E. MELAN, Zur Plastizitdt des rdumlichen Kontinuums, Ing. Arch., 9, 115-126, 1938.
• 2. W.T. KOITER, A new general theorem on shakedown of elastic-plastic structures, Proc. Konink. Nederl. Akad. Wetensch, B 59, 24-34, 1956.
• 3. J.A. KONIG, Shakedown of elastic-plastic structures, Elsevier, Amsterdam 1987.
• 4. X. Wu, D.S. GRUMMON, T.J. PENCE, Modeling phase fraction shakedown during thermomechanical cycling of shape memory materials, Materials Science and Engineering, A, 273-275, 245-250, 1999.
• 5. X.Q. FENG, Q. SUN, Shakedown analysis of shape memory alloy structures, International Journal of Plasticity, 23, 183-206. 2007.
• 6. X.Q. FENG, L. QIAN, W. YAN, Q. SUN, Wearless scratch on NiTi shape memory alloy due to phase transformational shakedown, Appl. Phys. Lett., 92, 121909, 2008.
• 7. B. KOCKAR, I. KARAMAN, J.I. KIM, Y.I. CHUMLYAKOV, J. SHARP, C.J. Yu, Thermomechanical cyclic response of an ultrafine-grained NiTi shape memory alloy, Acta Materialia, 56, 3630-3646, 2008.
• 8. V. KAFKA, Mesomechanical Constitutive Modeling, World Scientific, Singapore 2001.
• 9. V. KAFKA, Sha,pe memory: A new concept of explanation and of mathematical modeling, Part I: Micromechanicai explanation of the causality in the SM processes, J. Intel. Mat. Syst. and Structures, 5, 809 814, 1994.
• 10. V. KAFKA, Shape memory: A new concept of explanation and of mathematical modeling, Part II: Mathematical modelling of the SM effect and pseudoelasticity, J. Intel. Mat. Syst. and Structures, 5, 815-824, 1994.
• 11. V. KAFKA, An overview of applications of the mesomechanical approach to shape memory phenomena - completed by a new application to two-way shape memory, J. Intel. Mat. Syst. and Structures, 19, 3-17, 2008.
• 12. V. KAFKA, and D. VOKOUN, Background, of two characteristic features of shape memory phenomena, J. Intel. Mat. Syst. and Structures, 17, 511-520, 2006
• 13. T. INOUE, K. YAMAMOTO, Static and cyclic deformations of quasihomogeneous elastic-plastic material, Proc. XXIII Japan Congress on Material Research, The Society of Material Science, Kyoto 1980, 12-17.
• 14. V. KAFKA, Zur Thermodynamik der plastischen Verformung, ZAMM, 54, 649-657, 1974.
• 15. V. KAFKA, Strain-hardening and stored energy, Acta Technica CSAV, 24, 199-216, 1979.
• 16. V. KAFKA, On some apparent paradoxes in mechanics of deformation and damage of materials [in Czech], Inzenyrska Mechanika, 1, 177-183, 1994.
• 17. R.W. NICHOLS, The use of over stressing techniques to reduce the risk of subsequent brittle fracture, British Welding Journal, 15, 21-42, 75-84, 1968.
• 18. K. WADA, Y. LIU, On the two-way shape memory behavior in NiTi alloy - An experimental analysis, Acta Materialia, 56, 3266-3277, 2008.
• 19. J.M.G. FUENTES, P. GUMPEL, J. STRITTMATTER, Phase change behavior of nitinol shape memory alloys, Advanced Engineering Materials, 4, 437-451, 2002.
• 20. Z.G. WANG, X.T. Zu, X.D. FENG, J.Y. DAI, Effect of thermomechanical treatment on the two-way shape memory effect of NiTi alloy spring, Materials Letters, 54, 55-61, 2002.
• 21. D.A. MILLER, D.C. LAGOUDAS, Influence of cold work and heat treatment on the shape memory effect and plastic strain development of NiTi, Mater. Sci. Eng., A, 308, 161-175, 2001.