Nonlinear evaluation of the long-term critical force

21st International Scientific Conference on Advanced in Civil Engineering "Construction - The Formation of Living Environment"

土木建筑工程

Larionov, Evgeny^1 ; Zveryaev, Evgeny^2

Moscow State University of Civil Engineering, Yaroslavskoe sh. 26, Moscow

129337, Russia^1

Keldysh Institute of Applied Mathematics RAN, Moscow, Russia^2

关键词: Creep strain;    Critical force;    Mechanical characteristics;    Normal section;    Rheological equations;    Statistical distribution;    Structural stress;    Superposition principle;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/365/4/042080/pdf
DOI  :  10.1088/1757-899X/365/4/042080

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

An evolution of a normal sections stiffness generated by a creep and corrosion of materials, changing its mechanical characteristics are taken into account. The aim of the paper is to refine the known estimates based on the concept of a statistical distribution of the disabilities links a combination of which constitutes an element. This concept allows us to derive non-linear rheological equations. The proposed generalization of the Boltzmann creep strains superposition principle is used. The destruction of a part of the links results in a redistribution of the forces to the links capable to resist. This generates a non-linear dependence of deformations on the calculated stresses obtained under the assumption of equality for all links durability. By solving it we obtain a structural stress. The product of its limit per an area of the normal element section is a long structural critical force. The significant decline of the critical force value is due to the degradation of the mechanical characteristics. Accounting for non-linearity assessment of the long-term critical force gives the values less than the well-known ones from the literature values.