共查询到20条相似文献，搜索用时 19 毫秒
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研究了文献[2]提出的结线动力无穷元的特性及其参数确定。由于这种单元将衰减函数定义在无穷向结线上,从而不仅可同时考虑多种波动形式,而且对于不同介质,不必通过改变节点坐标分布的形式实现介质间的过渡,而直接以结线上参数的改变来实现,因而可以更好地模拟无穷波动场,使用起来更方便．更容易推广。 相似文献
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On the basis of the one-dimension infinite element theory, the coordinate translation and shape function of 3D point-radiate 8-node and 4-node infinite elements are derived. They are coupled with 20-node and 8-node finite elements to compute the compression distortion of the prestressed an- chorage segment. The results indicate that when the prestressed force acts on the anchorage head and segment, the stresses and the displacements in the rock around the anchorage head and segment con- centrate on the zone center with the anchor axis, and they decrease with exponential forms. Therefore, the stresses and the displacement spindles are formed. The calculating results of the infinite element are close to the theoretical results. This indicates the method is right. This article introduces a new way to study the mechanism of prestressed anchors. The obtained results have an important role in the re- search of the anchor mechanism and engineering application. 相似文献
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桩基础荷载对邻近已有隧道影响的有限元分析 总被引：7，自引：0，他引：7
目前,城市密集的高层建筑桩基础对临近隧道的影响问题越来越突出,为了更好地理解桩群荷载对已建成隧道的影响,主要进行了两方面的研究：（1）利用平面应变有限元方法分析了桩列荷载作用对邻近已有隧道的变形及受力影响,并研究了桩群参数变化（包括桩间距以及桩基础与隧道结构净距）对现存隧道的影响;（2）分析计算了上海太平洋2期广场工程对邻近地铁1号线隧道的影响。分析结果表明：隧道单侧存在桩列荷载作用时,隧道变形以沉降为主,水平位移较小,同时隧道结构向桩基础方向产生一定扭曲,这对于运营地铁是十分不利的;桩基础荷载造成隧道所受弯矩分布向桩基础方向偏转;随着桩间距、桩与隧道净距的增加,隧道拱顶下沉量以及弯矩变化最大值相应减小,沿隧道方向桩间距变化影响大于垂直隧道方向桩间距变化影响。 相似文献
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复合地基沉降的复合本构有限元分析 总被引：20，自引：7，他引：20
提出了平面应变条件下复合地基沉降计算的复合本构有限元法。根据桩土界面处力的平衡条件和竖向变形协调条件,由桩、土材料各自的本构方程形成复合地基的本构方程,桩和桩周土可以采用任意非线性本构模型。工程实例分析表明,所建议的方法是有效的。 相似文献
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Unbounded plane stress and plane strain domains subjected to static loading undergo infinite displacements, even when the zero displacement boundary condition at infinity is enforced. However, the stress and strain fields are well behaved, and are of practical interest. This causes significant difficulty when analysis is attempted using displacement‐based numerical methods, such as the finite‐element method. To circumvent this difficulty problems of this nature are often changed subtly before analysis to limit the displacements to finite values. Such a process is unsatisfactory, as it distorts the solution in some way, and may lead to a stiffness matrix that is nearly singular. In this paper, the semi‐analytical scaled boundary finite‐element method is extended to permit the analysis of such problems without requiring any modification of the problem itself. This is possible because the governing differential equations are solved analytically in the radial direction. The displacement solutions so obtained include an infinite component, but relative motion between any two points in the unbounded domain can be computed accurately. No small arbitrary constants are introduced, no arbitrary truncation of the domain is performed, and no ill‐conditioned matrices are inverted. Copyright © 2002 John Wiley & Sons, Ltd. 相似文献
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Twana Kamal Haji Asaad Faramarzi Nicole Metje David Chapman Farough Rahimzadeh 《国际地质力学数值与分析法杂志》2020,44(3):418-431
The accurate modelling of gravity is of crucial importance for a variety of issues including, but not restricted to, the identification of buried objects. Gravity is an unbounded problem, which causes challenges when applying numerical models, i..e.., it results in computational difficulties when specifying the relevant boundary conditions. In order to address this, previous research has tended to generate artificial boundary conditions, e.g., truncating the simulated domain and adding many unrealistic zero-density layers, which introduces more unknown parameters and unnecessarily excessive computational time. In order to overcome such inaccuracies, this paper proposes an innovative development of the finite element modelling technique, which represents a step change in the field of gravity forward modelling. A comprehensive formulation of an infinite element to reproduce the far-field boundary effect using only one layer of infinite elements is presented. The developed model considerably reduces the computational time while obtaining high degrees of accuracy. The model is validated against the exact solution of the problem, and its results show an excellent performance. The proposed method can significantly improve the postprocessing and interpretation stages of data analysis relevant to micro-gravity sensors. The new method is applied to subsurface civil engineering although its applicability is manifold. 相似文献
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Interest in the mechanics of landslides has led to renewed evaluation of the infinite slope equations, and the need for a more general framework for estimating the factor of safety of long and infinite slopes involving non‐homogeneous soil profiles. The paper describes finite element methods that demonstrate the potential for predicting failure in long slope profiles where the critical mechanism is not necessarily at the base of the soil layer. The influence of slope angle is also examined in long slopes, leading to some counter‐intuitive conclusions about the impact of slope steepness on the factor of safety. Copyright © 2010 John Wiley & Sons, Ltd. 相似文献
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By using the axisymmetric finite elements static limit analysis formulation, proposed recently by the authors, the stability numbers (γH/co) for an unsupported vertical circular excavation in clays, whose cohesion increases with depth, have been determined under undrained condition; γ = unit weight, H = height of the excavation and co = cohesion along ground surface. The results are obtained for various values of H/b and m; where b = the radius of the excavation and m = a non-dimensional parameter which accounts for the rate of the increase of cohesion with depth. The values of the stability numbers increase continuously both with increases in H/b and m. The results obtained in this study compare well with those available in literature. 相似文献
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Implementation and applications for a constitutive numerical model on F‐75 silica sand, course silica sand and two sizes of glass beads compressed under plane strain conditions are presented in this work. The numerical model is used to predict the stress versus axial strain and volumetric strain versus axial strain relationships of those materials; moreover, comparisons between measured and predicted shear band thickness and inclination angles are discussed and the numerical results compare well with the experimental measurements. The numerical model is found to respond to the changes in confining pressure and the initial relative density of a given granular material. The mean particle size is used as an internal length scale. Increasing the confining pressure and the initial density is found to decrease the shear band thickness and increase the inclination angle. The micropolar or Cosserat theory is found to be effective in capturing strain localization in granular materials. The finite element formulations and the solution method for the boundary value problem in the updated Lagrangian frame (UP) are discussed in the companion paper. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献
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岩体初始地应力场分析方法研究 总被引：2，自引：1，他引：2
初始地应力场是影响岩土工程稳定性的重要因素之一,如何合理地模拟初始地应力场一直是岩体力学中的重要研究课题。以国内某大型水利水电工程构筑区域实测空间地应力资料为基础,以边界位移为控制对象,采用有限元（无界元）方法对工程区大范围内的岩体初始地应力场进行了分析和研究。尝试在实际边界上满足无穷远处位移为0的模型边界上引入了无界单元,实测点上的应力拟合结果有较明显的改善,这表明所采用的方法是切实可行和有效的。 相似文献
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自然单元法(NEM)是较近出现的一种无网格方法,其形函数兼有无网格的特点和传统有限元的优点,是一种理想的适合岩土工程问题计算的新型数值方法。介绍了自然单元法的基本原理和特性,并讨论了其在岩土工程中的具体应用。将Goodman单元引入自然单元法以实现对不连续面的模拟,研究表明,在NEM中加入节理单元的总体原则和具体的实施细节与FEM中完全相同;而在一般的无网格方法中,则稍微复杂一点。为了实现对岩土工程中常见的无限域或半无限域问题的模拟,引入了无界单元;由于自然单元法的特性,自然单元法和无界元可实现无缝“耦合”。具体的数值算例验证了上述思路。 相似文献
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构造应力场边界载荷反演的有限元逆逼近法 总被引：2，自引：0，他引：2
构造应力场问题的边界条件、加载方式是地应力场分析的难题,由于构造运动未知和地质构造复杂,无法直接求解。边界力反演是进行构造应力场研究的重要手段。从弹性力学基本方程出发,针对油气储层地应力场反问题,结合对区域构造应力场认识,利用阻尼最小二乘法建立了应力场反演的约束模型,提出了一种用于反演构造应力场边界力的反分析方法,该方法根据部分实测点的应力值进行边界力反演,并与有限元方法和有限差分法相结合,以边界力为参量逼近目标函数。根据研究区少量地应力实测资料采用该方法进行最优化计算,使得计算应力场与实测应力达到最优拟合,以弥补目前的回归反演方法和边界载荷调整法的不足来提高计算精度。算例表明了该方法的有效性,可用于解决构造应力场边界力的反演问题。 相似文献
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运用Hoek-Brown经验准则分析圆形硐室围岩弹塑性应力和位移 总被引：1，自引：0，他引：1
Hoek-Brown经验准则能够较容易地用来估计节理岩体的强度,在岩石工程界已得到广泛的应用和认可。只要用定量指标合理地描述岩体质量,就可确定岩体的强度,因此Hoek-Brown经验准则为通过岩体质量评分评价岩体稳定性架起了一座桥梁,并对需要采取的加固支护措施提出建议。地下硐室开挖后改变了岩体的初始应力状态,围岩应力产生应力重分布现象。当硐室周边围岩应力状态超过岩体弹性极限状态而进入塑性状态时,塑性区内岩体的应力满足极限平衡条件。本文简单回顾了当侧压力系数为1时,圆形硐室围岩的弹性应力和位移,在此基础上以Hoek-Brown经验准则为极限平衡条件,得到圆形硐室轴对称平面应变问题的围岩弹塑性应力和位移的分析解。 相似文献
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A gradient-dependent viscoplastic constitutive model for water saturated clay is proposed to describe the strain localization phenomena and pattern formation during deformation. Second- and fourth-order gradients of volumetric viscoplastic strain are introduced into the constitutive equations to account for the non-local effects due to the motion of microstructures. A linear perturbation analysis is applied to this model. The instability of the government equations (i.e. the constitutive equations and the equations of motion for the clay skeleton and pore water) is discussed for both the one-dimensional and the two-dimensional situations. In addition, issues concerned with the formulation of boundary value problems by finite element analysis in relation to the formulation and the boundary conditions are presented. Copyright © 1999 John Wiley & Sons, Ltd. 相似文献
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Giuseppe Gambolati Massimiliano Ferronato Pietro Teatini Roberto Deidda Giuditta Lecca 《国际地质力学数值与分析法杂志》2001,25(4):307-327
The solution of the poroelastic equations for predicting land subsidence above productive gas/oil fields may be addressed by the principle of virtual works using either the effective intergranular stress, with the pore pressure gradient regarded as a distributed body force, or the total stress incorporating the pore pressure. In the finite element (FE) method both approaches prove equivalent at the global assembled level. However, at the element level apparently the equivalence does not hold, and the strength source related to the pore pressure seems to generate different local forces on the element nodes. The two formulations are briefly reviewed and discussed for triangular and tetrahedral finite elements. They are shown to yield different results at the global level as well in a three‐dimensional axisymmetric porous medium if the FE integration is performed using the average element‐wise radius. A modification to both formulations is suggested which allows to correctly solve the problem of a finite reservoir with an infinite pressure gradient, i.e. with a pore pressure discontinuity on its boundary. Copyright © 2001 John Wiley & Sons, Ltd. 相似文献
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Difficulties are involved in discrete element method (DEM) modelling of the flexible boundary, that is, the membranes covering the soil sample, which can be commonly found in contemporary laboratory soil tests. In this paper, a novel method is proposed wherein the finite difference method (FDM) and DEM are coupled to simulate the rubber membrane and soil body, respectively. Numerical plane strain and triaxial tests, served by the flexible membrane, are implemented and analysed later. The effect of the membrane modulus on the measurement accuracy is considered, with analytical formulae derived to judge the significance of this effect. Based on an analysis of stress-strain responses and the grain rotation field, the mechanical performances produced by the flexible and rigid lateral boundaries are compared for the plane strain test. The results show that (1) the effect of the membrane on the test result becomes more significant at larger strain level because the membrane applies additional lateral confining pressure to the soil body; (2) the tested models reproduce typical stress and volumetric paths for specimens with shear bands; (3) for the plane strain test, the rigid lateral boundary derives a much higher peak strength and larger bulk dilatation, but a similar residual strength, compared with the flexible boundary. The latter produces a more uniform (or ‘diffuse') rotation field and more mobilised local kinematics than does the former. All simulations show that the proposed FDM-DEM coupling method is able to simulate laboratory tests with a flexible boundary membrane. 相似文献
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针对分量式钻孔仪记录同震应变阶跃时常出现的ΔεⅠ+ΔεⅢ与ΔεⅡ+ΔεⅣ观测值不等, 无法自检, 且观测到的应变/应力阶跃大于理论计算值等现象, 利用有限元方法计算分析可能的原因, 建立不同围压和地震波应力扰动条件下的多种模型, 运用各向同性“杀死单元”和横向各向同性\"杀伤单元\"法, 模拟分量式钻孔仪的金属外壁和固结水泥环之间产生张裂隙或剪切滑动的情况。计算结果显示, 若钻孔内的金属圆筒和水泥环之间发生剪切滑动, 基本不会影响到观测; 然而两者之间发生张裂会使得ΔεⅠ+ΔεⅢ与ΔεⅡ+ΔεⅣ出现较大差异, 严重影响到同震阶变的观测。今后在井下安置探头时应该尝试新的改进方法。 相似文献