Method of analytical inverting of nonlinear constitutive relations of the combined model of phase and structural deformation of shape memory alloysстатья
Статья опубликована в журнале из списка Web of Science и/или Scopus
Аннотация:The equations of the combined model of phase and structural deformation of shape memory alloys (SMA) expressthe increments of deformations in terms of the increments of stresses, martensite volume part parameter and temperature,stresses themselves, deformations, and the temperature. However, to solve the stability problems of long-or thin-walledelements from SMA, as well as to formulate the tangent stiffness matrix of the finite element method for SMA, it is necessaryto have an explicit expression of stress increments in terms of stresses, deformations, strain increments, temperatureincrements, and temperature. The paper presents an analytical method for obtaining such inverting.