Strength of Materials

, Volume 31, Issue 1, pp 38–42 | Cite as

Deformation of hydrogenated polycrystalline bodies in the course of phase transformations

  • K. N. Rusinko
  • A. G. Shandrivskii
Scientific and Technical Section
  • 15 Downloads

Abstract

On the basis of a synthetic theory based on the application of principal postulates of the structural-analytic theory of strength, we construct a mathematical model of hydrogenated polycrystals, which can be regarded as a phenomenological model with improved physical basis. The concentration of hydrogen is taken into account with certain restrictions. However, even with these restrictions, we manage not only to reflect the qualitative picture but also to give a quantitative description of the deformational behavior of a hydrogenated material in the process of its cooling through of zone of phase transformations.

Keywords

Martensite Vanadium Phase Transformation Simple Shear Phase Deformation 

Notation

T

temperature, K

T*

effective temperature, K

Ts,Tf

temperatures of the beginning and termination of the process of phase deformation, respectively

Dik

components of the distortion of transformation

τtik

components of stresses in a local basis, Pa

NH,NMe

numbers of atoms of hydrogen and metal per unit volume, respectively

C

concentration of hydrogen,C=N H/N Me

c

thermodynamic concentration of hydrogen,c=N H/(N H+N Me)

qo

thermal effect of the reaction, J/m3

Ms,Mf

temperatures of the beginning and termination of the formation of the low-temperature phase (matensite) in a local volume, respectively, K

Φ

amount of the new phase in the local volume

ϕ13

microstrains of the phase origin

Nk

direction cosines in five-dimensional Il’yushin space

nk

direction cosines in three-dimensional subspace of five-dimensional Il’yushin space

εk

macrostrains of the phase origin

S

modulus of the vector of stresses, Pa

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References

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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • K. N. Rusinko
  • A. G. Shandrivskii

There are no affiliations available

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