Abstract
For media undergoing martensite transformations of first kind we give the data of analytic computations of several functional-mechanic properties interpretable as memory of shape. For definiteness and comparison of results these properties are computed in the case of a uniaxial load.
Similar content being viewed by others
Literature cited
I. N. Andronov, Yu. B. Kakuliya, V. A. Likhachev et al., “Computation of the cyclic reversible memory of shape of copper-manganese alloys,” in:Materials with New Functional Properties [in Russian], Novgorod Polytechnic Institute (1990), pp. 42–47.
S. P. Belyaev, A. E. Volkov, S. L. Kuz'min, et al., “Computation of the mechanical properties of materials with martensite transformations,” in:Materials with the Memory-of-Shape Effect and their Applications [in Russian], Novgorod Polytechnic Institute (1989), pp. 156–159.
S. P. Belyaev, S. L. Kuz'min, V. A. Likhachev, et al., “The effect of reversible memory of shape under conditions of complex loading,” in:Materials with New Functional Properties [in Russian], Novgorod Polytechnic Institute (1990), pp. 3–8.
T. Brechko and V. A. Likhachev, “Numerical modeling of martensite inelasticity in the context of the structural-analytic theory,” in:Materials with New Functional Properties [in Russian], Novgorod Polytechnic Institute (1990), pp. 70–73.
T. A. Buldakova, Yu. V. Voitenko, V. A. Likhachev, et al., “Thermomechanical cycles of martensite energy transformers,”Inzh.-Fiz. Zh.,9, No. 2, 269–277 (1990).
Yu. V. Voitenko, A. E. Volkov, and V. A. Likhachev, “Titanium nickelide as the working element of a heat engine,” in:Materials with the Memory-of-Shape Effect and their Applications [in Russian], Novgorod Polytechnic Institute (1989), pp. 58–59.
Yu. V. Voitenko and V. A. Likhachev, “The phase portraits of martensite engines,” in:Materials with New Functional Properties [in Russian], Novgorod Polytechnic Institute (1990), pp. 27–39.
A. E. Volkov, V. A. Likhachev, and V. G. Malinin, “Application of the structure-analytic conception for computing the functional properties of memory of shape,” in:New Methods in the Physics and Mechanics of a Deformable Solid Body, Proc. Int. Conf., Tomsk University Press (1990), pp. 44–46.
A. E. Volkov, V. A. Likhachev, O. V. Pushchaenko, et al., “Theoretical analysis of phenomena of reversible memory of shape,” in:Materials with New Functional Properties [in Russian], Novgorod Polytechnic Institute (1990), pp. 20–23.
A. E. Volkov, V. A. Likhachev, O. V. Pushchaenko, et al., “Numerical modeling of martensite inelasticity under conditions of transformation plasticity,” in:Materials with New Functional Properties [in Russian], Novgorod Polytechnic Institute (1990), pp. 38–40.
A. E. Volkov, V. A. Likhachev, and M. Yu. Rogachevskaya, “Numerical modeling of martensite inelasticity,” in:Materials with New Functional Properties [in Russian], Novgorod Polytechnic Institute (1990), pp. 18–20.
V. A. Likhachev, “Testing the structure-analytic model using the example of computation of the superposition of single and reversible memory of shape,” in:Materials with New Functional Properties [in Russian], Novgorod Polytechnic Institute (1990), pp. 9–10.
V. A. Likhachev, A. E. Volkov, and O. V. Pushchaenko, “Numerical modeling of the effect of memory of shape on the basis of the structure-analytic theory of plasticity: in:Materials with the Memory-of-Shape Effect and their Applications [in Russian], Novgorod Polytechnic Institute (1989), pp. 6–7.
V. A. Likhachev, S. L. Kuz'min, and Z. P. Kamentseva,The Effect of Memory of Shape [in Russian], Leningrad University Press (1987).
V. A. Likhachev and V. G. Malinin, “A new conception of plasticity based on the ideas of multi-level evolution of mass transfer processes,” in:Computer Simulation of the Defect Structure of Crystals [in Russian], Leningrad Physical-Technical Institute (1987), pp. 112–131.
V. A. Likhachev and V. G. Malinin, “A new conception of durability,” in:Structure and Properties of Mechanical Materials and Compounds [in Russian], Novgorod Polytechnic Institute (1989), pp. 4–31.
V. A. Likhachev and V. G. Malinin, “The structure-analytic theory of plasticity of materials with properties of memory of shape,” in:Mathematical Models of Plastic Deformation [in Russian], Tomsk University Press (1989), pp. 3–11.
V. A. Likhachev and V. G. Malinin, “The structure-analytic theory of durability in a multi-level formulation,”Izv. Vuzov. Fizika, No. 2, 121–138 (1990).
V. A. Likhachev, V. G. Malinin, and N. A. Malinina, “The role of microstresses in the formation of the properties of transformation plasticity and thermocyclic creep in materials with the effect of memory of shape,” in:Materials with the Memory-of-Shape Effect and their Applications [in Russian], Novgorod Polytechnic Institute (1989), pp. 138–140.
V. A. Likhachev, V. G. Malinin, and O. V. Porkuyan, “A theoretical model of ferroelasticity,” in:Materials with the Memory-of-Shape Effect and their Applications [in Russian], Novgorod Polytechnic Institute (1989), pp. 127–129.
V. A. Likhachev, V. G. Malinin, and O. V. Porkuyan, “Analytic study of the influence of combined thermomechanical action on the effect of reversible memory of shape,” in:Materials with the Memory-of-Shape Effect and their Applications [in Russian], Novgorod Polytechnic Institute (1989), pp. 132–135,
V. A. Likhachev, V. G. Malinin, and O. V. Porkuyan, “The theory of the superelastic effect,” in:Materials with the Memory-of-Shape Effect and their Applications [in Russian], Novgorod Polytechnic Institute (1989), pp. 136–138.
V. A. Likhachev, V. G. Malinin, and S. A. Shlyakhov, “Computation of the stress-strain state under thermic stroke of a thickwalled tube made of a material with memory of shape,” in:Materials with New Functional Properties [in Russian], Novgorod Polytechnic Institute (1990), pp. 155–158.
V. A. Likhachev, V. G. Malinin, and S. A. Shlyakhov, “Computation of the stress-strain state of a thickwalled tube of a material with the effect of memory of shape subjected to a complicated thermomechanical load,” in:Materials with New Functional Properties [in Russian], Novgorod Polytechnic Institute (1990), pp. 158–161.
V. A. Likhachev, V. G. Malinin, and S. A. Shlyakhov, “Computation of the stress-strain state of a thickwalled tube made of a material with the effect of memory of shape and subject to the action of a variable temperature and pressure,” in:Materials with New Functional Properties [in Russian], Novgorod Polytechnic Institute (1990), pp. 161–163.
V. A. Likhachev, V. G. Malinin, and T. V. Shlyakhova, “The structure-analytic theory of the effect of memory of shape,” in:Materials with the Memory-of-Shape Effect and their Applications [in Russian], Novgorod Polytechnic Institute (1989), pp. 125–127.
V. A. Likhachev, V. G. Malinin, and T. B. Shlyakhova, “Analytic study of thermomechanical hysteresis diagrams under martensite transformations taking account of the statistical properties of crystals,” in:Materials with the Memory-of-Shape Effect and their Applications [in Russian], Novgorod Polytechnic Institute (1989), pp. 144–147.
V. A. Likhachev and O. V. Pushchaenko, “Theoretical description of cyclic ferroelasticity,” in:Materials with New Functional Properties [in Russian], Novgorod Polytechnic Institute (1990), p. 51.
V. A. Likhachev and M. Yu. Rogachevskaya, “Computation of the martensite inelasticity for complex load regimes,” in:Materials with New Functional Properties [in Russian], Novgorod Polytechnic Institute (1990), pp. 35–38.
Additional information
Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 35, 1992, pp. 34–42.
Rights and permissions
About this article
Cite this article
Likhachev, V.A., Malanin, V.G. The structure-analytic theory of memory of shape. J Math Sci 67, 2844–2851 (1993). https://doi.org/10.1007/BF01095856
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01095856