Rheological Equations of State of Concrete

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Abstract

A quasilinear representation of a nonlinear rheological equation of concrete state has been established, derived on the basis of the concept of statistical strength distribution of individual fractions combined to form a structural element. In the nonlinear formulation for ageless concrete, L. Boltzmann’s well-known principle of superposition of creep deformations is realized by increments of structural stress of fractions capable of force resistance under non-decreasing loading. For aging concrete, in contrast to previous approaches, the superposition of partial increments of deformations generated by increments in stress levels is implemented. This leads to the correct consideration of concrete aging, clarifying the type of known rheological equations. Quasilinear forms of rheological equations that are convenient in applications are given. The concept of the strength structure of concrete and the identity of the aging functions of strength, modulus of elasticity and creep make it possible to reduce the creep equation to a linear differential equation with constant coefficients. This simplifies, in particular, the solution of stress relaxation problems, which are important in the calculations of structures for long-term safety.

About the authors

Evgeny A. Larionov

RUDN University

Email: evgenylarionov39@yandex.ru
ORCID iD: 0000-0002-4906-5919

Doctor of Technical Sciences, Professor of the Department of Construction Technology and Structural Materials, Engineering Academy

6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation

Vladimir P. Agapov

RUDN University

Email: agapovpb@mail.ru
ORCID iD: 0000-0002-1749-5797
SPIN-code: 2422-0104

Doctor of Technical Sciences, Professor of the Department of Construction Technology and Structural Materials, Academy of Engineering

6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation

Alexey S. Markovich

RUDN University; Moscow State University of Civil Engineering (National Research University)

Author for correspondence.
Email: markovich-as@rudn.ru
ORCID iD: 0000-0003-3967-2114
SPIN-code: 9203-1434

Doctor of Technical Sciences, Associate Professor of the Department of Construction Technology and Structural Materials, Academy of Engineering, RUDN University; Professor of the Department of Metal and Timber Structures, National Research Moscow State University of Civil Engineering

26 Yaroslavl Highway, Moscow, 129337, Russian Federation

Kurban R. Aidemirov

Daghestan State Technical University

Email: kyrayd@mail.ru
ORCID iD: 0009-0005-1474-4275
SPIN-code: 8167-4343

PhD, Associate Professor, Associate Professor of the Department of Building Structures and Hydraulic Structures

70, I. Shamily avenue, Makhachkala, 367026, Russian Federation

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