Composite damage modeling of recycled aggregate concrete beam on Winkler-Pasternak foundations: A multiphase mechanical approach

Abstract

This paper proposes a new recycled aggregate concrete (RAC) beam model on a foundation that incorporates damage. The damage models are derived based on composite damage mechanics, considering three phases: cement paste, recycled concrete aggregate (RCA), and nano inclusions. Three damage models are used to represent damage in the RAC beam: the Voigt parallel model, the Reuss serial model, and the generalized self-consistent model. The Voigt parallel model represents the upper bound responses, while the lower bound responses are represented by the Reuss serial model. The beam model is developed using the virtual displacement principle, with the kinematic assumption based on Euler-Bernoulli beam theory. The Winkler-Pasternak foundation model is employed to account for the interaction between the beam and foundation. Two numerical simulations were conducted to investigate the effects of damage and system parameters on static bending analysis. Both simulations reveal that damage parameters lead to a degradation of system stiffness, resulting in increased beam deflection. Conversely, the foundation parameters increase system stiffness, leading to a reduction in beam deflection.