Double Scalar Variables Plastic-Damage Model for Concrete
Publication: Journal of Engineering Mechanics
Volume 148, Issue 2
Abstract
A framework of the plastic-damage model with double scalar variables is established in nominal stress space under the small deformation assumption. In the damaged part, a damage tensor composed of double scalar variables is presented to comprehensively characterize the isotropic damage behavior in three-dimensional (3D) conditions. The damage laws of Young’s modulus and shear modulus are proposed to capture their different damage characteristic observed in the test. For one-dimensional (1D) and 3D conditions, the applicability of single scalar and double scalar damage variables is discussed. The macroscopic damage difference between these two damage variables when describing damage under 3D conditions is analyzed. In the plastic part, the plastic strain increment is determined by two parts of magnitude and direction. The magnitude is obtained by the consistency condition, and the flow direction is defined by the nonorthogonal flow rule that can satisfactorily reproduce the dilatancy behavior of concrete. The proposed model is implemented by the explicit Runge–Kutta (RK) method with the fifth-order accuracy and the Pegasus method. The performance of the model is assessed by the comparison results between the model and the cyclic loading and unloading test data under different stress paths.
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Data Availability Statement
All data, models, or codes that are generated or utilized during the study are available from the corresponding author by request.
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 52025084, 51778026, and 52008231).
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Journal of Engineering Mechanics
Volume 148 • Issue 2 • February 2022
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© 2021 American Society of Civil Engineers.
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Received: Jul 16, 2021
Accepted: Sep 23, 2021
Published online: Nov 24, 2021
Published in print: Feb 1, 2022
Discussion open until: Apr 24, 2022
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