Nonlinear calculation of structural elements according to transforming design schemes

Kazan Federal University, N.I. Lobachevsky Institute of Mathematics and Mechanics, Kremlevskaya 18, 420008 Kazan, Russia

^* Corresponding author: e_xo@mail.ru

Abstract

An approach to the calculation of the processes of structural elements deformation and their environments in the case of a complex phased erection of building objects is proposed. On the basis of consistent equations of the geometrically nonlinear theory elasticity within the finite element approach to the geometry description, a technique for solving three-dimensional statics problems of concrete and reinforced concrete structural elements is implemented. On the basis of calculation by transforming calculation schemes new computational models of spatial elements deformation of building structures during their interaction with soil media have been developed. On the basis of the proposed methods the underground elements deformation problem of building structures was solved when carrying out technological measures related to the local strengthening of already erected underground facilities. The calculation results showed that the use of the proposed methodology makes it possible to implement the determination of the stress-strain state and displacement fields in the phased construction zone in a single design scheme.