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Constitutive Modeling of Normally and Over-Consolidated Clay with a High-Order Yield Function

Author

Listed:
  • Chen-Xi Tong

    (School of Civil Engineering, Central South University, Changsha 410075, China)

  • Hong-Wei Liu

    (School of Civil Engineering, Central South University, Changsha 410075, China)

  • Hai-Chao Li

    (Transportation Science and Engineering College, Civil Aviation University of China, Tianjin 300300, China)

Abstract

In this paper, a simple sub-loading yield surface model for both normally consolidated and over-consolidated clay is proposed with emphasis on the effect of the yield surface shape. Compared with the modified Cam-clay model, only one additional material parameter is introduced to reflect geometry features of the yield surface. A higher-order stress–dilatancy relation is given in the current study, leading to a new yield function capable of offering an adequate description of the yield surface of soil samples in the p – q plane. By introducing the concept of the sub-loading yield surface and the unified hardening parameter, the proposed model can capture the main features of the over-consolidated clay with dilatancy and strain-softening behavior and the main features of the normally consolidated clay with contraction and strain-hardening behavior. The results show that adjusting the yield surface leads to more accurate predictions than the modified Cam-clay model. The proposed model can also reasonably describe its mechanical behavior for clay samples.

Suggested Citation

  • Chen-Xi Tong & Hong-Wei Liu & Hai-Chao Li, 2022. "Constitutive Modeling of Normally and Over-Consolidated Clay with a High-Order Yield Function," Mathematics, MDPI, vol. 10(9), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1376-:d:797757
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