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基于Gudehus-Bauer理论的土-结构接触面亚塑性模型及应用OA

A hypoplasticity model for soil-structure interface based on Gudehus-Bauer theory and its application

中文摘要英文摘要

为描述土-结构接触面在剪切过程中的非线性、剪胀和软化响应,针对传统弹塑性模型需预定义屈服面、流动法则、三维拓展复杂等问题,基于 Gudehus-Bauer八参数砂土亚塑性模型,建立考虑面内应力的砂土-结构接触面亚塑性本构模型.首先,将三维应力张量简化为法向应力、两个正交剪应力和面内应力构成的四维向量,相应构造应变率向量,将修正后的应力与应变率分量代入亚塑性基本方程,得到接触面状态下的线性项与非线性项表达式;其次,在此基础上编写ABAQUS用户材料子程序UMAT,实现模型的有限元数值计算;再次,将模型预测结果与筑坝用料-钢板接触面、不同密实度Hostun砂-光滑面板及Ticino砂-铝板接触面试验结果进行对比,以验证模型预测各类接触面剪切的效果;最后,以北京城市副中心站综合交通枢纽工程QZ4-D2基桩试桩为例,建立桩长68.3 m、桩径1.2 m的轴对称有限元模型.案例结果表明:荷载低于8 000 kN时模型预测沉降与实测基本一致,在高荷载下,其预测优于 Mohr-Coulomb模 型;16 000 kN 工况下,12个深度处侧摩阻力预测与实测的平均绝对误差为9.13 kN、平均绝对百分比误差为17.2%;模型还能够合理预测桩身轴力、侧摩阻力和桩端阻力,表明其具有良好的数值可行性与工程适用性.

To describe the nonlinear,dilative,and strain-softening responses of soil-structure interfaces during shearing,a hypoplastic constitutive model for sand-structure interfaces that accounts for in-plane stresses is developed based on the eight-parameter Gudehus-Bauer hypoplastic model for sand.The pro‐posed model avoids the need to predefine yield surfaces and flow rules and overcomes the difficulty of ex‐tending conventional elastoplastic interface models to three-dimensional conditions.First,the three-dimensional stress tensor is reduced to a four-dimensional vector comprising the normal stress,two orthogonal shear stresses,and the in-plane stress,and a corresponding strain-rate vector is constructed.The modified stress and strain-rate components are substituted into the fundamental hypoplastic equation to derive the linear and nonlinear terms for the interface state.The model is then implemented in ABAQUS through a user material subroutine UMAT for finite-element analysis,and its predictive perfor‐mance is validated against test results for interfaces between dam fill materials and steel plates,Hostun sand of different densities and smooth panels,and Ticino sand and aluminum plates.Finally,the QZ4-D2 test pile of the Beijing Sub-Center Station Integrated Transportation Hub is simulated using an axisymmet‐ric finite-element model with a pile length of 68.3 m and a diameter of 1.2 m.For loads below 8 000 kN,the predicted settlements are in good agreement with the measurements,while at higher loads the proposed model provides more accurate predictions than the Mohr-Coulomb model does.At a load of 16 000 kN,the predicted shaft resistances at 12 depths have a mean absolute error of 9.13 kN and a mean absolute percent‐age error of 17.2%.The model also reasonably predicts the pile axial force,shaft resistance,and toe resis‐tance,demonstrating its numerical robustness and practical applicability.

王文廷;吕兵;陈子璇;祝金涛;于鹏强

中交三公局第二工程有限公司,天津 301800中交三公局第二工程有限公司,天津 301800北京科技大学 未来城市学院,北京 100083北京科技大学 未来城市学院,北京 100083北京科技大学 未来城市学院,北京 100083

建筑与水利

岩土工程土-结构接触面亚塑性理论本构模型桩土界面

geotechnical engineeringsoil-structure interfacehypoplasticityconstitutive modelpile-soil interface

《北京交通大学学报》 2026 (4)

94-107,14

北京市自然科学基金(8254043)Beijing Natural Science Foundation(8254043)

10.11860/j.issn.1673-0291.20250021

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