Phenomenological Model of Pseudo-Elastic-Plastic Material Under Nonstationary Combining Loading

  • Pavel SteblyankoEmail author
  • Yuri Chernyakov
  • Aleksandr Petrov
  • Volodymyr Loboda
Conference paper
Part of the Structural Integrity book series (STIN, volume 8)


The study of the behavior of bodies from pseudo-elastic-plastic materials requires the development of special algorithms for calculating the stress-strain state. When constructing the physical relations, it was assumed that the deformation at a point is represented as a sum of the elastic component, the deformation jump at the phase transition, the plastic deformation and the deformation caused by temperature changes. A numerical method of enhanced accuracy based on the use of two-dimensional spline functions is proposed for solving multidimensional nonstationary problems of thermo-elastic-plastic theory for bodies produced of pseudo-elastic-plastic materials. The basic equations comprising heat conduction, equilibrium or motion equations and geometric relations are written. The boundary and initial conditions are formulated in a general form and numerical examples are considered.


Pseudo-elastic-plastic material Phase transitions 


  1. 1.
    Abeyaratne, R., Knowles, J.K.: Evolution of Phase Transitions. Cambridge University Press (2006)Google Scholar
  2. 2.
    Petrov, A., Chernyakov, Y., Steblyanko, P., Demichev, K., Haydurov, V.: Development of the method with enhanced accuracy for solving problems from the theory of thermo-pseudoelastic-plasticity. East. Eur. J. Enterp. Technol. 4/7(94), 25–33 (2018)CrossRefGoogle Scholar
  3. 3.
    Shaw, J.A., Kyriakides, S.: On the nucleation and propagation of phase transformation fronts in a NiTi alloy. J. Acta Mater. 45, 683–700 (1997)CrossRefGoogle Scholar
  4. 4.
    Steblyanko, P., Shevchenko, Y.: Computational methods in stationary and non-stationary thermal-plasticity problems. In: ETS-Encyclopedia of Thermal Stresses, vol. 7, pp. 630–636. Springer, New York (2014)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Pavel Steblyanko
    • 1
    Email author
  • Yuri Chernyakov
    • 2
  • Aleksandr Petrov
    • 2
  • Volodymyr Loboda
    • 2
  1. 1.Dnipro State Technical UniversityKamianskeUkraine
  2. 2.Dnipro National University named after Oles HoncharDniproUkraine

Personalised recommendations