Mathematical Bases of the Finite Element Method for Solving Elastic Static Axisymmetric Problems.

Aslonov Bakhtier Bobokulovich

Mathematical Bases of the Finite Element Method for Solving Elastic Static Axisymmetric Problems.

Keywords : occupied by a perfectly elastic homogeneous and isotropic medium, points of the rod, longitudinal deformation, normal stress in sections


Abstract

Some aspects of the use and justification of the finite element method, which is most widely used at present for the machine solution of many of the most important problems of mathematical physics, are considered. The method will be formulated in its simplest version using the example of a one-dimensional problem; here, the connection with the classical Rayleigh-Ritz method will be shown. Next, some existing generalizations of the method to the case of boundary value problems in more complex domains will be shown.

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