Rate‐Type Concrete Creep Law with Reduced Time

Abstract

For creep analysis of large structural systems, the linear aging integral‐type creep law needs to be converted to a rate‐type form which consists of a system of first‐order linear differential equations with age‐dependent coefficients. The system may be visualized by the Kelvin chain model with age‐dependent elastic moduli and viscosities. In the existing formulation, the independent variable is actual time. It is shown that, by using as the independent variable a certain reduced time which increases with time at a gradually declining rate, one reduces the number of differential equations needed to describe creep within the given time range, thereby making numerical structural analysis more efficient. An algorithm for identifying the material parameters from given creep data, based on minimization of a sum of squared deviations, is also presented. Thermodynamic restrictions on the material coefficients are analyzed. Finally, the capability of closely approximating available creep data is demonstrated.