Numerical modeling of state elastic-plastic cylindrical bodies if exposed to high temperature loads
Journal Title: Комп’ютерне моделювання: аналіз, управління, оптимізація - Year 2017, Vol 1, Issue 1
Abstract
The work is devoted to numerical modeling of the state of elastic-plastic cylindrical bodies under the influence of hightemperature loads. An iterative method of componentwise splitting is developed to solve systems of differential equations describing the processes of heat conduction and deformation in nonlinear composite cylindrical bodies for numerical modeling of their elastic-plastic behavior under the influence of temperature and force loading. In this case, the approximation apparatus of strained splines and cubic B splines is used, which makes it possible to take into account the complex dependencies of material properties on thermomechanical processes. The authors investigated the temperature field of a cylindrical body, which is in an upright position and at an angle, as well as all the necessary elements of stress and strain tensors. The above results have a higher order of accuracy in comparison with similar results obtained by the difference method. The results obtained make it possible to predict the durability and reliability of objects operating under shock non-stationary temperature loads. An effective numerical method is proposed for solving three-dimensional nonstationary problems of thermomechanics, based on reduction of the problem to a system of three successively solved two-dimensional problems, when unknown quantities are represented as twodimensional polynomial and strained splines. The constructed iterative formulas for determining the temperature, displacement velocities, stress tensor components and deformation allow us to obtain the third order of the time approximation method and the third and fourth order in coordinates.
Authors and Affiliations
П. О. Стеблянко, К. Е. Дьомічев
Keywords
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