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Construction of homogeneous loading functions for elastoplastic damage models for concrete

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Abstract

Over the past 2 decades, tight restriction has been imposed on strength criteria of concrete by the combination of plasticity and damage in one theory. The present study aims at constructing plastic/damage loading functions for elastoplastic damage models for concrete that can perform more satisfactorily in 3D stress states. Numerous strength criteria of concrete are reorganized according to their simplest representations as Cartesian, cylindrical, mixed cylindrical-Cartesian, and other forms, and the homogeneity of loading functions discussed. It is found that under certain supplementary conditions from physical meanings, an unambiguous definition of the cohesion in a strength criterion, which is demanded in an elastoplastic damage model, is usually available in an explicit or implicit form, and in each case the loading function is still homogeneous. To apply and validate the presented theory, we construct the respective homogeneous damage and plastic loading functions and implant them into some widely used elastoplastic damage models for concrete, and their performances in triaxial compression prove to have improved significantly.

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Authors and Affiliations

  1. School of Civil Engineering, Tongji University, Shanghai, 200092, China

    Ji Zhang & Jie Li

  2. State Key Laboratory for Disaster Reduction in Civil Engineering, Shanghai, 200092, China

    Ji Zhang & Jie Li

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  1. Ji Zhang
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  2. Jie Li
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Correspondence to Jie Li.

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Zhang, J., Li, J. Construction of homogeneous loading functions for elastoplastic damage models for concrete. Sci. China Phys. Mech. Astron. 57, 490–500 (2014). https://doi.org/10.1007/s11433-013-5188-0

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  • DOI: https://doi.org/10.1007/s11433-013-5188-0

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