Abstract
The calculated finite element moment diagram (MSEC) for the solution of geometrically nonlinear problems of thermoplastic elasticity with regard to material damage for axisymmetric rotation bodies was obtained. The use of quadrilateral finite elements of arbitrary shape, taking into account the variability of the components of the metric tensor, provides high efficiency of the approach. This allows us to determine nonlinear deformations and their variations due to displacement, whereby the form of the obtained expressions for nonlinear deformations in shape coincides with the relations for linear deformations. This allows us to determine nonlinear deformations and their variations due to displacement, whereby the form of the obtained expressions for nonlinear deformations in shape coincides with the relations for linear deformations. This is realized by changing the value of the transformation tensor components accordingly, which enables us to effectively solve problems in a geometrically nonlinear formulation. The method of solving the system of nonlinear equations is the orientation of the step algorithm in combination with the iterative procedure of Newton-Kantorovich.
Highlights
This is realized by changing the value of the transformation tensor components
The method of solving the system of nonlinear equations is the orientation of the step algorithm in combination
Physical and geometric nonlinearity, thermally elastic plastic deformation, material damage, axisymmetric rotation bodies
Summary
Значна кількість відповідальних елементів конструкцій, що являють собою вісесиметричні тіла обертання, в процесі виготовлення і експлуатації терплять великих формозмінень, які нерідко проходять при підвищених температурах, що призводить до зміни фізико-механічних характеристик матеріалу і розвитку різного виду деформацій. Максим’юк Юрій професор кафедри будівельної механіки д.т.н., доц
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