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Volume 45 Issue 3
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CHEN Zhouquan, CHEN Xiangsheng, PANG Xiaochao, SU Dong, LIN Xingtao. Semi-implicit integration algorithm for non-coaxial model based on vertex theory and its application[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(3): 521-529. DOI: 10.11779/CJGE20220050
Citation: CHEN Zhouquan, CHEN Xiangsheng, PANG Xiaochao, SU Dong, LIN Xingtao. Semi-implicit integration algorithm for non-coaxial model based on vertex theory and its application[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(3): 521-529. DOI: 10.11779/CJGE20220050
shu

Semi-implicit integration algorithm for non-coaxial model based on vertex theory and its application

  • 1.

    College of Civil and Transportation Engineering, Shenzhen University, Shenzhen 518060, China

  • 2.

    Key Laboratory for Resilient Infrastructures of Coastal Cities (MOE), Shenzhen University, Shenzhen 518060, China

  • 3.

    Underground Polis Academy, Shenzhen University, Shenzhen 518060, China

  • 4.

    Shenzhen Key Laboratory of Green, Efficient and Intelligent Construction of Underground Metro Station, Shenzhen 518060, China

  • 5.

    Shenzhen Research and Design Institute of China Academy of Railway Sciences, Shenzhen 518060, China

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  • Received Date: January 11, 2022
  • Available Online: March 15, 2023
    Graphical Abstract
    • Abstract
  • A semi-implicit integration algorithm is presented for the non-coaxial model based on the yield vertex theory. In the stress updating considering the non-coaxial terms, the plastic flow direction is expressed explicitly. The Gram-Schmidt orthogonalization process aiming to formulate the non-coaxial flow is conducted under the given stress condition. According to the orthogonality among tensors, the stress updating equation is further simplified, and the Newton-Raphson iteration is established based on the simplified equation. With this algorithm programmed into the user subroutines, Vumat, the constitutive model is implemented into the finite element analysis based on ABAQUS. Through the explicit procedure, the simple shear tests and trapdoor problems are simulated with different non-coaxial model parameters. The results are compared to those of the coaxial model. The calculated results show that the proposed algorithm is converged and robust, and is be suitable for the numerical analysis.
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    • References (25)
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