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许韬  白冰 《岩土力学》2018,39(10):3853-3862
为了研究热源温度和外界水压对缓冲层中水-热迁移规律的影响,以GMZ膨润土为例,从基于势能的非饱和土的水-热迁移控制方程出发,考虑了蒸发效应的影响,得到了水-热耦合的方程组,采用改进的光滑粒子流体动力学(SPH)算法,能够对每一处土体根据不同时刻的不同状态实时更新计算参数,得到参数变化的水-热耦合解。计算结果表明:土的物理性质参数与土体的温度和饱和度密切相关,是否考虑这些参数的变化会对计算结果产生较大影响;核废料释放的热量能够在较短的时间内扩散到外边界,水分迁移的速度则相对慢很多;缓冲层温度的升高会加快水分的迁移速度,外界水压对温度的分布则影响较小。  相似文献   

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唐宇峰  施富强  廖学燕  周帅 《岩土力学》2018,39(4):1509-1516
光滑粒子流体动力学(SPH)是近年来发展起来的一种纯拉格朗日无网格法,并因其在大变形领域内的优势而受到广泛关注。在进行滑坡大变形分析时,流动法则及剪胀角的选取对于边坡失稳后的运动特性有重要的影响。采用Fortran自行编写了基于SPH的边坡稳定性及失稳后大变形分析程序,然后通过2个经典的算例,讨论了不同流动法则及剪胀角的选取对滑坡大变形分析精度的影响。结果表明:(1)剪胀角的选取对土体失稳后的滑动距离有显著影响,随着剪胀角的增大,土体的滑动速度与距离呈明显增大趋势;(2)在关联性流动法则及非关联性流动法则? =1/2? (? 为剪胀角,? 为摩擦角)条件下,土体在大变形过程中会产生过度膨胀,且运动速度与距离要大于实际情况,而采用关联性流动法? =0时,对于非膨胀土可以得到比较令人满意的结果,但对于膨胀土体会使得运动速度和运动距离过小,不符合实际情况。建议在计算膨胀土大变形时,采用非关联性流动法则且适当考虑膨胀性(? =(0.1~0.2)? ),可以得到较好的结果。  相似文献   

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本构模型是描述泥石流流变特性的关键,也是决定其动力过程数值模拟准确性的核心问题之一。泥石流流体属多相混合物,现有的研究已证实其存在剪切增稠或剪切变稀的现象,传统基于Bingham及Cross线性本构关系的数值模型难以准确描述泥石流流变特性。文中探讨了Bingham模型在低剪应变率下的数值发散问题,在光滑粒子流体动力学(SPH)方法框架上建立了整合Herschel-Bulkley-Papanastasiou(HBP)本构关系的稀性泥石流动力过程三维数值模型。相比传统基于浅水波假设的二维数值模型,所述方法从三维尺度建立SPH形式下的泥石流浆体纳维?斯托克斯方程并进行数值求解,可获取泥石流速度场时空分布及堆积形态,同时采用HBP本构关系描述泥石流流变特性,能在确保数值收敛的前提下反映泥石流流体在塑性屈服过渡段及大变形状态下应力?应变的非线性变化。为验证提出方法的合理性,结合小型模型槽实验观测进行了对比,结果表明数值模拟与实测结果基本吻合。  相似文献   

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This paper focuses on the modelling of mixed-mode fracture using the conventional smoothed particle hydrodynamics (SPH) method and a mixed-mode cohesive fracture law embedded in the particles. The combination of conventional SPH and a mixed-mode cohesive model allows capturing fracture and separation under various loading conditions efficiently. The key advantage of this framework is its capability to represent complex fracture geometries by a set of cracked SPH particles, each of which can possess its own mixed-mode cohesive fracture with arbitrary orientations. Therefore, this can naturally capture complex fracture patterns without any predefined fracture topologies. Because a characteristic length scale related to the size of the fracture process zone is incorporated in the constitutive formulation, the proposed approach is independent from the spatial discretisation of the computational domain (or mesh independent). Furthermore, the anisotropic fracture responses of materials can be naturally captured thanks to the orientation of the fracture process zone embedded at the particle level. The performance of the proposed approach demonstrates its potentials in modelling mixed-mode fracture of rocks and similar quasi-brittle materials.  相似文献   

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陈丁  黄文雄  黄丹 《岩土力学》2024,45(3):885-894
光滑粒子流体动力学(smoothed particle hydrodynamics,简称SPH)方法作为拉格朗日型的无网格粒子类方法,在固体极大变形问题的数值求解分析中具有显著优势。针对包含界面接触的固体大变形问题的SPH模拟,基于一种能改善边界精度的光滑粒子插值格式——有限粒子法(finiteparticlemethod,简称FPM),提出了一种新的点对体积的离散(point-to-volume discretization,简称PTVD)界面接触算法。该算法实际是将界面接触力等价转换为接触点附近两组粒子间的外部相互作用力。具体是根据接触界面特点将接触面两侧物体离散后的粒子划分为主体粒子和从属粒子,对于每个接触点附近的从属粒子,根据其影响域所包含的主体粒子情况确定该粒子与接触面的相对关系计算法向接触力,根据其影响域内两类粒子的相对切向速度和界面摩擦系数计算切向接触力。PTVD接触算法可避免界面粒子识别及精确模拟等相关的复杂接触力计算,充分体现了光滑粒子法的非局部特点。在利用经典界面接触和摩擦算例进行验证的基础上,将PTVD算法应用于颗粒土拟静力坍塌和弹体侵彻软土等涉及接触界面的大变形土力学问题SPH数值分析,结果表明PTVD算法在摩擦接触问题的SPH数值分析中具有有效性和广泛适用性。  相似文献   

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穆朝民  戎立帆 《岩土力学》2014,35(5):1475-1481
针对岩石透明条件差,磨料射流冲击岩石的损伤机制不易观察等问题,运用SPH和FEM耦合算法,并引入J-H-C含损伤本构模型描述磨料射流冲击下岩石的损伤场的演化机制。研究结果表明,磨料射流侵彻岩石的深度与磨料射流中磨料的浓度与磨料形状有关;岩石在磨料水射流作用下的沿径向和轴向损伤是呈阶梯式的,距离冲击表面越近,损伤曲线的梯度越大,损伤演化的阶梯形式越不明显;距离冲击表面越远,损伤曲线的梯度越小,损伤演化的阶梯形式越明显。  相似文献   

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The method of smoothed particle hydrodynamics (SPH) has recently been applied to computational geomechanics and has been shown to be a powerful alternative to the standard numerical method, that is, the finite element method, for handling large deformation and post‐failure of geomaterials. However, very few studies apply the SPH method to model saturated or submerged soil problems. Our recent studies of this matter revealed that significant errors may be made if the gradient of the pore‐water pressure is handled using the standard SPH formulation. To overcome this problem and to enhance the SPH applications to computational geomechanics, this article proposes a general SPH formulation, which can be applied straightforwardly to dry and saturated soils. For simplicity, the current work assumes hydrostatic pore‐water pressure. It is shown that the proposed formulation can remove the numerical error mentioned earlier. Moreover, this formulation automatically satisfies the dynamic boundary conditions at a submerged ground surface, thereby saving computational cost. Discussions on the applications of the standard and new SPH formulations are also given through some numerical tests. Furthermore, techniques to obtain the correct SPH solution are also proposed and discussed throughout. As an application of the proposed method, the effect of the dilatancy angle on the failure mechanism of a two‐sided embankment subjected to a high groundwater table is presented and compared with that of other solutions. Finally, the proposed formulation can be considered a basic formulation for further developments of SPH for saturated soils. Copyright © 2011 John Wiley & Sons, Ltd.  相似文献   

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The flow of water–kaolinite mixtures exhibits a non‐Newtonian nature that differs from the flow of Newtonian fluid. The varying viscosities and shear history of non‐Newtonian fluid flows necessitate the use of a rheology model in moving particle semi‐implicit (MPS) for the numerical studies. On the other hand, the Lagrangian method has the advantage of handling free surface flows with large deformation and fragmentation. This study proposes a mesh‐free Lagrangian method, namely, the MPS method, together with a simple rheology model to investigate the non‐Newtonian free surface flows. The rheological parameters required in the rheology model are determined based upon experiments. The proposed method is applied to a water–kaolinite mixture collapse problem and is proved to be capable of reproducing the significant flow features observed in laboratory experiments. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

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Segmental retaining wall (SRW) systems are commonly used in geotechnical practice to stabilize cut and fill slopes. Because of their flexibility, these systems can tolerate minor movements and settlements without incurring damage or crack. Despite these advantages, very few numerical studies of large deformations and post‐failure behavior of SRW systems are found in the current literature. Traditional numerical methods, such as the finite element method, suffer from mesh entanglement, thus are unable to simulate large deformations and flexible behavior of retaining wall blocks in SRW systems. To overcome the above limitations, a novel computational framework based on the smoothed particle hydrodynamics (SPH) method was developed to simulate large deformations and post‐failure behavior of soils and retaining wall blocks in SRW systems. The proposed numerical framework is a hybrid continuum/discontinuum approach that can model soil as an elasto‐plastic material and retaining wall blocks as independent rigid bodies associated with both translational and rotational degrees of freedom. A new contact model is proposed within the SPH framework to simulate the interaction between the soil and the blocks and between the blocks. As an application of the proposed numerical method, a two‐dimensional simulation of an SRW collapse was simulated and compared to experimental results conducted under the same conditions. The results showed that the proposed computational approach provided satisfactory agreement with the experiment. This suggests that the new framework is a promising numerical approach to model SRW systems. Copyright © 2014 John Wiley & Sons, Ltd.  相似文献   

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