stress intensities

Solution of the dynamic problem of thermoelasticity in stresses for a strip

The method for solving a two-dimensional dynamic thermoelasticity problem in stresses for a strip with a rectangular cross-section is proposed.  The initial system of equations in stresses, which describes the plane-stress state of the strip, is selected.  A solution method is developed based on approximating the distributions of all components of the dynamic stress tensor using cubic polynomials with respect to the thickness coordinate of the strip.  This reduces the original system of two-dimensional unsteady equations to a system of one-dimensional unsteady equations

Thermomechanical behavior of an electrically conductive cylindrical implant under the action of external unstable electromagnetic fields

A physical and mathematical model for determining the thermostressed state of an electrically conductive cylindrical implant under the action of external unstable electromagnetic fields, in particular the impulse with amplitude modulation, is proposed.  This model allows predicting the maximum allowable values (according to physiological norms) of temperature and stress intensities in the considered implant depending on the parameters of external unstable electromagnetic fields and the time of their action.