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Shevchenko, Yu. N.; Terekhov, R. G.

doi:10.1023/a:1011331929237

Cited by 15 publications

(2 citation statements)

References 8 publications

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“…sets the limits of a certain surface in the stress space [4,8]. When passing through this surface, the deformation caused by the phase transition increases with a jump.…”

Section: Experimental/theoretical Detailsmentioning

confidence: 99%

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Behaviour Modelling of the Pseudo-Elastic-Plastic Material at Non-Stationary Loading

Steblyanko¹,

Domichev²,

Petrov³

2021

Metallofiz. Noveishie Tekhnol.

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The article is devoted to studying the behaviour of pseudo-elastic-plastic materials under significant deformations. The study of the behaviour of bodies from pseudo-elastic-plastic materials requires the development of special algorithms for calculating the stress-strain state. When constructing physical relations, it is assumed that the deformation at a point is represented as the sum of the elastic component, the jump of deformation during a phase transition, plastic deformation and deformation caused by temperature changes. A numerical method of increased accuracy based on the use of two-dimensional spline functions for solving multidimensional non-stationary problems of the theory of thermo-elasticity for bodies made of pseudo-elastic plastic materials at large deformations is proposed. A phenomenological model is constructed to describe the properties of thermo-elasticity in a point with consideration of heat generated during phase transition in geometrically nonlinear formulation. Basic equations describing the behaviour of pseudo-elastic plastic materials at significant deformations and consisting of the equation of thermal conductivity, motion, physical and geometric relations are written. Numerical examples are considered.

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“…sets the limits of a certain surface in the stress space [4,8]. When passing through this surface, the deformation caused by the phase transition increases with a jump.…”

Section: Experimental/theoretical Detailsmentioning

confidence: 99%

“…In the case where α = 0, β = 1, the scheme (8) will be explicit. When α = 1, β = 0, term (8) gives an implicit schema. If α = β = 1/2, then there is a Crank-Nicholson's scheme, which, unlike the two previous schemes of the first order of approximation in time, has a second order of approximation.…”

Section: Experimental/theoretical Detailsmentioning

confidence: 99%