Phenomenological Model of Pseudo-Elastic-Plastic Material Under Nonstationary Combining Loading
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.
KeywordsPseudo-elastic-plastic material Phase transitions
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