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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)

Abstract

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.

Keywords

Pseudo-elastic-plastic material Phase transitions 

References

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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

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