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岩土材料具有极限应变特征,其值可以通过室内试验或数值模拟方法求得。边坡岩土体主要为剪切破坏,可采用极限剪应变作为材料破坏的判据。事实上,边坡岩土体强度参数劣化并非整体性的,而是一个渐进性局部损伤至整体失稳的过程。本文基于极限应变判据,建立了边坡破坏的动态局部强度折减方法,此方法对边坡中超过极限剪应变值的单元进行强度折减。通过不断折减计算过程中产生的超过极限剪应变值单元,直到坡内超过极限剪应变值的单元贯通,认为边坡整体发生破坏。将该方法应用到实际边坡工程中,计算结果和边坡破坏模式及变形监测数据基本吻合。此方法在分析边坡渐进性破坏及稳定性评价方面具有较好应用前景。 相似文献
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利用自主开发的基于无网格法的岩石力学计算分析程序,采用Mohr-Coulomb破坏准则,考虑材料塑性屈服后的软化特性,研究单轴压缩条件下含一个缺陷的岩石试样的变形特性,探讨含缺陷材料的岩石变形局部化的演化规律。计算结果表明,岩石试件的破坏是一个渐进破坏的过程;加载过程中试件中的缺陷弱粒子首先出现粒子破坏并产生声发射,随加载进行试件产生微裂隙并扩张形成一个变形局部化带,局部化带扩张、发展,最终形成一个明显的剪切破坏带,缺陷粒子对试件的破坏起到了控制作用。岩石的声发射记录了岩石材料的塑性破坏过程,岩石试件的剪切破坏带与塑性区的发展具有非常类似的规律,但塑性区面积要大于剪切破坏带,从所处位置来看剪切破坏带位于塑性区之内,通过研究声发射特征信息发现变形局部化发生在应力-加载步（应变）达到峰值强度前。 相似文献
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基于破损力学理论,将结构性黄土抽象成具有一定结构强度的结构块和摩擦带组成的二元介质模型。对结构性黄土体来说,局部化剪切带问题也是土体的破损问题,剪切带萌生发展的实质就是结构块向摩擦带转化的动态过程。应用结构性土的双参数破损率二元介质本构模型,采用数值分析方法模拟了平面应变压缩条件下结构性土中局部化剪切带萌生、扩展的过程,研究了不同缺陷方案下局部化剪切带的形态、特性与规律,发现结构性土中局部化剪切带的发展起初是由一段段不连续的微小局部破坏区域在外荷载逐步作用下渐进扩展连接贯通而形成整体剪切带的破坏形式。二元介质本构模型和常规有限元的结合,形象生动地再现了局部化剪切带萌生、发展的过程。 相似文献
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首先讨论了Lagrangian和Eulerian无网格近似的联系和区别,然后基于稳定节点积分和增量本构理论,建立了分析边坡静动力破坏的高效大变形无网格法,并给出了详细的计算流程。该方法采用弹塑性损伤耦合本构关系来模拟岩土类材料的破坏演化过程,其中屈服函数采用Drucker-Prager准则,损伤准则为基于应变的各项同性损伤函数。由于无网格近似和稳定节点积分具有非局部近似的特性,在保证空间离散稳定性和提高计算效率的同时,也可准确有效地模拟应变集中所形成的剪切带的发生与扩展,通过数值算例验证了方法的有效性。 相似文献
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基于应变能密度理论的岩石破裂数值模拟方法研究 总被引：1，自引：0，他引：1
采用双线性应变软化本构模型结合能量耗散原理建立了损伤本构方程,并通过应变能密度理论建立了细观单元岩石破坏的能量判别准则。当某一单元所存储的应变能超过某固定值时,单元进入损伤状态,同时单元的损伤程度随着能量耗散的增加而增加,损伤单元的材料属性也随之改变,直到变为具有一定残余强度的单元。随着荷载增加,单元损伤的程度变大,当单元储存的应变能超过所建立的能量判别准则时,定义单元破坏,随着破坏单元的数目不断增多,破坏单元相互连通形成宏观裂纹,实现了利用线性计算完成非线性计算的过程,避免了数值计算在单元断裂时的奇异性,模拟了岩石的峰后破裂行为。对上述算法利用FLAC中的FISH语言开发了岩石破裂化计算程序,并将该程序成功应用于巴西劈裂和中间裂隙拉伸试验的破裂模拟过程中,其模拟结果与相应的理论和试验结果吻合较好,说明该方法对于模拟岩石破裂过程的正确性和可行性。 相似文献
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用三维梁-颗粒模型BPM3D(beam-particlemodelinthreedimensions)对岩石类非均质脆性材料的力学性质和破坏过程进行了数值模拟。梁-颗粒模型是在离散单元法基础上,结合有限单元法中的网格模型提出的用于模拟岩石类材料损伤破坏过程的数值模型。在模型中,材料在细观层次上被离散为颗粒单元集合体,相邻颗粒单元由有限单元法中的弹脆性梁单元联结。梁单元的力学性质均按韦伯(Weibull)分布随机赋值,以模拟岩石类材料力学参数的空间变异性。材料内部裂纹通过断开梁单元来模拟。通过自动生成的非均质材料模型对岩石类材料的破坏机理进行研究。岩石类非均质脆性材料在单轴压缩状态下破坏过程细观数值模拟结果显示,岩石材料宏观破坏是由于其内部细观裂纹产生、扩展、贯通的结果。通过数值模拟结果之间的对比分析,揭示出岩石试样宏观破坏模式随细观层次上韦伯分布参数的变化而不同。与实际矿柱破坏形态的对比分析表明了模型的适用性。根据数值模拟结果对岩石类非均质材料的破坏机理进行了探讨。 相似文献
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Xin Lai Bo Ren Houfu Fan Shaofan Li C.T. Wu Richard A. Regueiro Lisheng Liu 《国际地质力学数值与分析法杂志》2015,39(12):1304-1330
In this work, we have developed nonlinear peridynamics models of drained and saturated geomaterials, and applied them to simulations of dynamic fragmentation and ejecta formation due to impulse loads. First, we have re‐phrased and re‐interpreted the non‐local state‐based peridynamics formulation to connect the non‐local integral operator with the local differential operator. Second, we have implemented the Drucker–Prager plasticity model in state‐based peridynamics at finite strain. A peridynamics version of the Hughes and Winget algorithm is derived for the constitutive update. Third, we have developed a peridynamics U‐p formulation for saturated geomaterials. Fourth, numerical simulations have been carried out to verify the proposed peridynamics formulations in the simulation of geomaterial fragmentation induced by impulse loads. Comparisons of analytical and numerical results indicate that the peridynamics model has the ability to both match traditional continuum compression examples, as well as simulate complex geomaterial fragmentation processes resulting from impulse loads. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
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基于数字图像的土、岩和混凝土内部结构定量分析和力学数值计算的研究进展 总被引：8，自引：0，他引：8
土、岩及混凝土是一种内部结构极其复杂的材料,内部细观组成和结构决定了它们在外力作用下内部应力和应变等物理场的分布状态,在很大程度上控制了它们的宏观力学响应和破坏机理和过程。自1995年以来,数字图像处理技术作为一种材料细观空间结构及几何形态的精确量测和数字表述手段快速地被应用于沥青混凝土、水泥混凝土、土和岩体材料细观结构定量分析中来。本文在研究相关文献的基础上,分析和研究了数字图像技术在土、岩及混凝土内部结构定量分析和力学数值计算中的发展过程和研究成果,内容包括:单个骨料颗粒形态特征定量分析;土、岩和混凝土内部结构定量分析;岩体结构定量分析中的应用;基于数字图像处理的土、岩和混凝土细观结构力学计算。在此基础上,本文进一步对数字图像技术在岩土领域中的应用进展及未来的发展趋势进行了探讨,认为数字图像作为一种空间分布测量手段和数字表述方法使得它具有巨大的潜力,特别是在岩土领域的纵深发展过程中,它可能实现考虑细微观结构性的岩土力学和工程分析和预测的、新的方法和理论。 相似文献
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塑性梯度体元及应变局部化启动机制分析 总被引：1，自引：1，他引：0
利用代表性体元可较好地反映出并非理想连续均匀的岩土介质破坏前强度和变形行为。但当材料出现高的应变梯度(应变局部化)时,在体元上的应力、应变呈现高次非线性变化,代表性体元不能如实地反映出介质的力学性能。提出一种可包含局部化变形的研究基元--塑性梯度体元(Plasticity Gradient Volume Element) ,塑性应变在其内可用微分形式表达。该体元不但可反映介质的平均力学响应,而且可反映应变呈高次非线性变化时的影响。随着硬(软)化模量从正值变为负值,变形模式将由均匀变形模式变为局部化变形模式,这就是应变局部化的启动机制。 相似文献
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Discrete element methods (DEMs) are used for layered geomaterials to investigate the dependency of traditional engineering constants on material properties and loading conditions. Shear deformations and compression tests parallel and perpendicular to layering are conducted on samples of varying kerogen volume fractions, confining pressures, porosities, and layer geometries. The goal of this article is to develop a method to better characterize oil shale (a transversely isotropic layered geomaterial) while eliminating high experimental costs. The DEM simulations conducted in this study demonstrate strong dependencies of Young's modulus, Poisson's ratio, and shear modulus on kerogen volume fraction and porosity. Furthermore, a rule of thumb for layer thickness and particle resolution is proposed for simulation design. Results agree well with robust effective medium theories, solidify the ability of DEM to model the mechanical properties of layered heterogenous materials, and encourage the use of DEM to study more complicated layered media and material failure. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
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Strain gradient implies an important characteristic in localized damage deformation, which can be observed in the softening state of brittle materials, and strain gradients constitute the basic behaviours of localization failure area of the materials. The most important point in strain gradient is its damaging function including an internal length scale, which can be used to express the scale effects of mechanical responses of brittle rock mass. By extending the strain gradient theory and introducing an intrinsic material length scale into the constitutive law, the authors develop an isotropic damage model as well as a micro‐crack‐based anisotropic damage model for rock‐like materials in this paper. The proposed models were used to simulate the damage localization under uniaxial tension and plain strain compression, respectively. The simulated results well illustrated the potential of these models in dealing with the well‐known mesh‐sensitivity problem in FEM. In the computation, elements with C1 continuity have been implemented to incorporate the proposed models for failure localization. When regular rectangle elements are encountered, the coupling between finite difference method (FDM) and conventional finite element method (FEM) is used to avoid large modification to the existing FEM code, and to obtain relatively higher efficiency and reasonably good accuracy. Application of the anisotropic model to the 3D‐non‐linear FEM analysis of Ertan arch dam has been conducted and the results of its numerical simulation coincide well with those from the failure behaviours obtained by Ertan geophysical model test. In this paper, new applications of gradient theories and models for a feasible approach to simulate localized damage in brittle materials are presented. Copyright © 2002 John Wiley & Sons, Ltd. 相似文献
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Modelling shear band is an important problem in analysing failure of earth structures in soil mechanics. Shear banding is the result of localization of deformation in soil masses. Most finite element schemes are unable to model discrete shear band formation and propagation due to the difficulties in modelling strain and displacement discontinuities. In this paper, a framework to generate shear band elements automatically and continuously is developed. The propagating shear band is modelled using discrete shear band elements by splitting the original finite element mesh. The location or orientation of the shear band is not predetermined in the original finite element mesh. Based on the elasto‐perfect plasticity with an associated flow rule, empirical bifurcation and location criteria are proposed which make band propagation as realistic as possible. Using the Mohr–Coulomb material model, various results from numerical simulations of biaxial tests and passive earth pressure problems have shown that the proposed framework is able to display actual patterns of shear banding in geomaterials. In the numerical examples, the occurrence of multiple shear bands in biaxial test and in the passive earth pressure problem is confirmed by field and laboratory observations. The effects of mesh density and mesh alignment on the shear band patterns and limit loads are also investigated. Copyright © 2003 John Wiley & Sons, Ltd. 相似文献
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When considering saturated poroelastic geomaterials, their consolidation response can be influenced by the evolution of damage in the porous skeleton. This paper introduces the concept of effective stress and the modified Mohr–Coulomb criterion as a means for examining the problem of consolidation response of a damage-susceptible poroelastic geomaterial, which is considered to be a novel development in the application of damage mechanics to the study of poroelastic phenomena. Then, a damage mechanics model for porous media is established and applied to analyze the Biot’s consolidation problem of damaged soils. The comparison between the numerical predictions and the classical solutions shows that the computational damage model developed in this paper is effective and feasible in analyzing the consolidation problem of damaged porous media. 相似文献
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《Geomechanics and Geoengineering》2013,8(1):61-74
A simple unified critical state constitutive model for bonded geomaterials is presented in this paper. The model, which is called CASM-n, is an enhancement of an existing unified critical state model for reconstituted geomaterials (CASM). Characteristic behaviours of a bonded geomaterial such as the pre-yield higher strength and stiffness and the cohesive–frictional shearing mode in the post-yield region are taken into account and included in the reference model. The salient feature of the proposed model is the incorporation of cohesive component into the stress–dilatancy relationship. Consideration of the contribution of cohesion to plastic flow allows the modelling of delayed dilatancy and softening–contraction behaviour, which are two interesting phenomena observed in bonded geomaterials. 相似文献
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基于CLoE与Gudehus-Bauer亚塑性模型数值模拟了平面应变条件下Hostun砂的应变局部化现象。从侧向压力和初始缺陷两个方面对比研究了两种模型所预测应变局部化的产生及演化模式。结果表明：（1）两种模型均能反映Hostun砂刚度随着侧向压力提高而增大的现象。（2）相比Gudehus-Bauer亚塑性模型,CLoE亚塑性模型所得出的应变局部化形态与试验结果更加一致。（3）CLoE亚塑性模型能够反映随着荷载增加,砂的体积先膨胀后缩小的特点。（4）相比Gudehus-Bauer亚塑性模型,CLoE亚塑性模型所得到的应变-应力曲线能够更明显地反映应变局部化带中单元的软化现象。（5）CLoE亚塑性模型能够更好地模拟由初始缺陷导致的不均匀应变。总的来说,所得的数值结果表明,CLoE亚塑性模型能够较好地模拟侧向压力和初始缺陷对应变局部化的影响,在模拟应变局部化现象方面较Gudehus-Bauer更有优势。然而,现有CLoE亚塑性模型无法考虑孔隙比,也未包含颗粒材料内尺度变量,有待进一步完善。 相似文献