A mixed variational functional in creep-damage problems of axisymmetric bodies
Journal Title: Вісник Одеської державної академії будівництва та архітектури - Year 2017, Vol 1, Issue 67
Abstract
The mathematical statement of creep-damage problems for axisymmetric bodies is presented. The mathematical statement includes the variation principle for the mixed functional, which is formulated on independently varied functions of displacements and stresses for known creep strains at arbitrary moment of time, and the numerical method, based on methods of Runge–Kutta–Merson and RFM (Rvachov’s Functions Method), for solution of the initial-boundary creep problem. The integral estimations on the basis of Lagrange, Reissner and Castilliano functionals are used for the investigations of convergence and reliability of the obtained test results. On a new theoretical basis the program complex, which realizes the solution method of creep-damage problems for the axisymmetric bodies, has been done. The test examples are presented. Numerical data demonstrate the convergence of approximate solutions. Practically important numerical estimations of strength and durability of constructive machine elements, such as tubes and sealing rings, are given.
Authors and Affiliations
A. B. , Savin, V. N. , Sobol
Keywords
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