Numerical-analytical method in reinforced concrete mechanics

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Abstract

A variant of the numerical-analytical method in the nonlinear mechanics of reinforced concrete is proposed. Calculation models make it possible to take into account a number of important factors, such as discrete cracks, the effect of concrete discontinuity, and reinforcement reactions in a crack. When solving the inverse problem of determining the width of the crack opening, the deformation effect is not set, but is modeled using the “joining” of the assigned minimum possible width, its opening under the appropriate loading. In the calculation scheme, pairs of finite elements are distinguished, adjacent to such a crack from opposite special sides, called a two-element cantilever model. Pairs are considered in two states: before their jointing of cracks and after their jointing, taking into account the deformation effect and the effect of concrete discontinuity. The calculation algorithm is based on combinations of an analytical model for calculating the stiffness of complexly stressed structures and the intelligence of the “LIRA-SAPR” software package.

About the authors

Vladimir I. Kolchunov

Southwestern State University; Research Institute of Building Physics of the RAACS

Author for correspondence.
Email: vlik52@mail.ru
ORCID iD: 0000-0001-5075-1134

corresponding member of the RAASN, Doctor of Technical Sciences, Professor of the Department of Unique Buildings and Structures

94 50 let Oktyabrya St, Kursk, 305040, Russian Federation; 21 Lokomotivnyi Proezd, Moscow, 127238, Russian Federation

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