Abstract In this paper, an original J2-deformation type model coupled with state-dependent dilatancy is further extended to a multiaxial stress space. Compared with most existing models, the proposed model only requires ten parameters, which can be easily calibrated, and does not involve any abstruse concepts in elastoplasticity theory. The model is then implemented into ABAQUS through a user-defined subroutine (UMAT), and the capability of the extended model in capturing the mechanical behavior of sand is demonstrated by element tests, including conventional triaxial tests and true triaxial tests. To demonstrate the robustness of the model, two typical boundary value problems are illustrated, i.e., the biaxial compression test and the strip footing test. The model is further incorporated with anisotropic critical state theory to simulate anisotropic soil behavior. The biaxial compression test with smooth and rough boundaries is simulated with the anisotropic model. The results confirm the impact of fabric anisotropy and boundary constraints on the shear strain distributions and patterns of shear bands. The simulation results show the capability of the proposed model, which can be applied in practical analyses and geotechnical engineering designs.

中文翻译：

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J2-变形型土壤模型与状态相关的剪胀和织物演化相结合：多轴公式和有限元实现

摘要 本文将原始的J2-变形型模型与状态相关剪胀耦合进一步推广到多轴应力空间。与大多数现有模型相比，所提出的模型只需要十个参数，易于标定，并且不涉及任何弹塑性理论中的深奥概念。然后通过用户定义的子程序 (UMAT) 将该模型实施到 ABAQUS 中，扩展模型捕捉砂土力学行为的能力通过单元测试来证明，包括传统的三轴测试和真正的三轴测试。为了证明模型的鲁棒性，举例说明了两个典型的边值问题，即双轴压缩试验和条形基脚试验。该模型进一步结合各向异性临界状态理论来模拟各向异性土壤行为。用各向异性模型模拟了具有光滑和粗糙边界的双轴压缩试验。结果证实了织物各向异性和边界约束对剪切应变分布和剪切带模式的影响。仿真结果表明了所提出模型的能力，可用于实际分析和岩土工程设计。