Abstract
Taking the concrete as the matrix, and the air holes produced in concrete as the inclusions, we studied the decreasing influence of the air content on the Young's modulus of the concrete by using the Mori–Tanaka estimation method. We used the variation structure method and derived the estimation formula of effective potential energy of the air-entraining concrete. The relation curve between the effective stress and the effective strain for the air-entraining concrete was obtained by differentiating the equivalent strain. Assuming the concrete matrix follows the Drucker–Prager yield criterion, the macroscopic Drucker–Prager yield criterion of air-entraining concrete was derived by introducing the energy density support function. Based on the macroscopic Drucker–Prager yield criterion, we studied the decreasing influence of the air content on the inner friction coefficient of concrete. The variation of the effective properties of these mechanical parameters with the air content was found to match the experiment case roughly.
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