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汪成贵, 束善治, 肖杨, 路德春, 刘汉龙. 考虑钙质砂颗粒破碎的分数阶边界面本构模型[J]. 岩土工程学报, 2023, 45(6): 1162-1170. DOI: 10.11779/CJGE20220229
引用本文: 汪成贵, 束善治, 肖杨, 路德春, 刘汉龙. 考虑钙质砂颗粒破碎的分数阶边界面本构模型[J]. 岩土工程学报, 2023, 45(6): 1162-1170. DOI: 10.11779/CJGE20220229
WANG Chenggui, SHU Shanzhi, XIAO Yang, LU Dechun, LIU Hanlong. Fractional-order bounding surface model considering breakage of calcareous sand[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(6): 1162-1170. DOI: 10.11779/CJGE20220229
Citation: WANG Chenggui, SHU Shanzhi, XIAO Yang, LU Dechun, LIU Hanlong. Fractional-order bounding surface model considering breakage of calcareous sand[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(6): 1162-1170. DOI: 10.11779/CJGE20220229

考虑钙质砂颗粒破碎的分数阶边界面本构模型

Fractional-order bounding surface model considering breakage of calcareous sand

  • 摘要: 钙质砂作为海洋工程中广泛应用的建筑材料,颗粒破碎会导致其强度和剪胀性降低,压缩性增加,影响构筑物的安全和稳定。通过引入破碎应力建立考虑颗粒破碎的临界状态线来描述破碎对临界状态线位置和形状的影响;并基于分数阶微分和状态相关理论建立了统一的状态相关分数阶塑性流动法则;在边界面塑性理论和临界状态理论框架下建立了考虑钙质砂颗粒破碎和状态相关特性的分数阶塑性边界面本构模型。模型能够模拟不同初始密实度和围压条件下钙质砂三轴排水试验结果和颗粒破碎影响下的状态相关行为,并验证了模型的适用性。

     

    Abstract: The calcareous sand is widely used as the construction materials in marine engineering. Particle breakage will reduce the strength and dilatancy, and increase the compressibility, which affects the security and stability of the constructions. In this study, the influences of breakage on the position and shape of the critical state line are described by introducing the crushing stress. A unified state-dependent fractional plastic flow rule is established based on fractional differential and state-dependent theory. A fractional-order plasticity boundary surface constitutive model considering the particle breakage and state-dependent behavior of the calcareous sand is established under the framework of the boundary surface plasticity and the critical state theory. The model can simulate the drained triaxial test results of the calcareous sand under different initial densities and confining pressures and reflect the state-dependent behavior under the influences of the particle breakage, which verifies the applicability of the proposed model.

     

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