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1.
应用一个具体问题展开了波在固体在弹性、弹塑性和应变局部化阶段的传播特性的研究。当经典本构计算到材料出现应变局部化时失效、控制方程出现分叉现象时,非局部效应本构描述得以继续分析,破坏过程变形进一步体现。本构内引入梯度项的贡献,以牺牲了特高频率( )特性为代价,增强了控制方程的稳定性。阻尼的影响复杂得多,考虑滞变阻尼、且仅与质量有关时,阻尼对控制方程的稳定性没有贡献。如果阻尼考虑为与质量和刚度联合相关时,阻尼对控制方程稳定性是有一定的贡献。  相似文献   

2.
马田田  韦昌富  陈盼  魏厚振  伊盼盼 《岩土力学》2012,33(11):3263-3270
在修正剑桥模型的基础上,提出了一个非饱和土毛细滞回与骨架变形耦合的弹塑性本构模型。该模型考虑了基质吸力与饱和度对屈服应力的影响,可以同时描述非饱和土的弹塑性变形特性与毛细循环滞回效应。根据塑性体变的产生使非饱和土进气值增大的特点,建立了变形对土-水特征曲线影响的数学描述。该模型有效地考虑了饱和度对前期屈服应力的作用,准确地反映了土体在不同土-水状态条件下(脱湿和吸湿过程)强度特性的变化,而且还可以有效地描述水力循环历史对土体变形的影响。通过与试验数据对比,证明了该模型能够模拟非饱和土的主要力学特性。  相似文献   

3.
王小平  夏雄 《岩土力学》2011,32(11):3283-3287
岩土类材料具有显著的率相关性,其应力-应变关系全过程一般表现为硬化-软化特征,研究如何描述这两类特征具有重要的意义。基于岩土类材料的物理变形机制分析,考虑到其结构性特征,采用弹黏塑性本构模型,引入反映材料结构变化的可变结构黏滞系数及其演化方程,并将其嵌入到弹黏塑性本构模型中去,建立能够反映材料结构变化的弹黏塑性本构模型。利用玄武岩常规三轴常应变率试验结果对所建立的模型进行试验验证,结果表明:所建立的弹黏塑本构模型能够完整、合理地描述岩土类材料应力-应变关系全过程以及材料本构关系的率相关性,同时还能够反映材料的峰值强度、残余强度特征。  相似文献   

4.
马田田  韦昌富  李幻  陈盼  魏厚振 《岩土力学》2011,32(Z1):198-204
在Wheeler本构模型框架的基础上,提出了一个水力与力学耦合的本构模型。该模型中的土-水特征曲线采用毛细滞回内变量模型,能够更好地描述水力历史变化下毛细滞回现象对非饱和多孔介质变形的影响,同时也可描述非饱和多孔介质变形对渗流的影响。非饱和土的强度不仅与吸力有关,而且受到饱和度的影响。相同的吸力下,土样经过吸湿和脱湿路径的饱和度不同,因此,非饱和土的强度也不同。此模型以体积含水率的塑性变化和体变的塑性变化为硬化参数,不仅能描述基质吸力对非饱和土的强化作用,而且考虑了饱和度对强度及变形的影响。试验结果与模型预测基本吻合,证明该模型能够模拟非饱和土的主要特性。为了简化,此模型是在各向同性荷载下推得的,有待于推广到一般的应力状态  相似文献   

5.
盐岩的分数阶非线性蠕变本构模型   总被引:2,自引:0,他引:2  
吴斐  刘建锋  武志德  边宇  周志威 《岩土力学》2014,35(Z2):162-167
在非牛顿流体黏滞阻尼元件的基础上提出了分数阶非线性黏壶元件。基于分数阶导数的定义,得到了该元件的理论表达式,其表达式与Abel黏壶的表达式相一致,进一步比较发现该元件能反映蠕变曲线的非线性加速特征。通过引入该元件建立了新的非线性蠕变本构模型。基于蠕变试验数据,对该模型进行了拟合分析。结果表明,非线性蠕变本构模型与试验数据吻合的较好,并且能很好地反映全过程蠕变曲线的特征,尤其是非线性加速蠕变阶段。  相似文献   

6.
岩石结构稳定性问题是岩土工程实践中迫切需要解决的重要课题之一。文章以地震为例,讨论了地质灾害的局部化特征,介绍了经典弹、塑性理论的某些缺陷及梯度塑性理论的几点优越性:(1)控制方程总是适定的;(2)病态网格依赖性消失;(3)局部化带宽度由材料的内部长度完全确定;(4)可对岩石结构的尺寸效应及失稳回跳进行合理解释和预测;(5)对预测宏观及微观问题均比较有效。介绍了基于梯度塑性理论的岩石变形、破坏及稳定性研究进展。梯度塑性理论可用于研究单轴压缩条件下,岩石试件发生剪切破坏时全程应力一应变曲线、尺寸效应、剪切带倾角尺寸效应及失稳回跳等问题。它们对土木工程及岩土工程均十分重要。若将单轴压缩岩样比拟为矿柱,则该失稳判据即为矿柱岩爆准则。梯度塑性理论可用于研究韧性断层带内部应变、应变率分布规律、断层带错动位移及带内孔隙度分布规律,为韧性断层带定量分析提供了新的手段。此外,该理论还可对直剪试验机——岩样系统不稳定性进行分析,系统失稳可比拟为断层岩爆。发展基于梯度塑性理论尺度律及失稳判据等解析解一方面可加深对岩石变形、破坏的理解;另一方面。还可用来检验数值结果的正确性。  相似文献   

7.
张凌凯  王睿  张建民  唐新军 《岩土力学》2019,40(7):2547-2554
为合理反映颗粒破碎对堆石料力学特性的影响,基于试验结果分析,得出了堆石料在压缩和剪切作用下的颗粒破碎特性规律。通过引入压缩破碎和剪切破碎的相关参数,借鉴已有本构模型的合理定义,吸收临界状态理论和边界面理论的优点,发展了考虑颗粒破碎和状态相关的堆石料静动力统一弹塑性本构模型,并阐述了模型参数的确定方法。该模型不仅能够反映堆石料在静力荷载作用下的低压剪胀、高压剪缩、应变软化和硬化等特性,还能够反映在循环荷载作用下应力-应变的滞回特性和残余变形的累积效应。最后为验证模型的合理性,分别对堆石料的静力三轴和循环三轴试验进行了数值模拟预测,结果表明:模型预测与试验数据吻合良好,所提出的本构模型能够合理地描述颗粒破碎对堆石料静动力变形特性的影响。  相似文献   

8.
李兆华  胡杰  冯吉利  龚文俊 《岩土力学》2018,39(Z1):513-520
泥石流是一个世界范围的地质灾害问题,多年来受到广泛而深入的研究。大多数工作致力于分离地研究岩土材料破坏前的失稳机制和失稳后的快速流动扩展。尝试以一种连续方法模拟完整的泥石流过程,仅用一个本构模型描述泥石流的起始、扩展和停滞。首先讨论了重力增大和基质吸力降低诱发泥石流的力学机制,描述了泥石流过程中岩土材料力学性质的弹塑性–黏性转变现象,对泥石流进行了黏弹塑性的全程模拟,并对挡土墙的冲击效应进行了启发性研究,证明了研究中所使用的本构模型可以准确地描述岩土材料的固流转化现象,数值方法可以很好地对均质连续介质进行大位移模拟。  相似文献   

9.
某核电站基岩阻尼特性的实验研究   总被引:1,自引:0,他引:1  
本文采用“自由振动法”,设计了一个等效单自由度振动体系,对某核电站基岩的阻尼特性进行了实验研究。通过对实验结果的整理、分析,得到了基岩阻尼系数C不是常数,而是与频率有关的结论。从而揭示了阻尼系数C的非线性性质,这对进一步研究岩石动态本构方程具有意义。同时,文中给出的阻尼系数C的数据,对工程设计也具有参考价值。  相似文献   

10.
李赛  汪优  秦志浩  刘建华 《岩土力学》2016,37(7):1947-1955
建立准确合理的接触面本构模型是研究桩基承载力、沉降及变形等问题的前提。考虑桩-土界面初始剪切刚度的深度效应,提出基于统计损伤本构模型的无厚度接触面本构模型,根据剪切试验的数据对改进的接触面本构模型参数进行拟合,得到了不同法向应力下的模拟曲线。利用FLAC3D软件内嵌的FISH语言,对桩-土界面进行改进本构模型的二次开发,提出的无厚度接触面模型合理地模拟出桩-土界面刚度的非线性,成功实现了桩-土剪切试验过程的数值模拟。计算结果表明:提出的无厚度接触面本构模型能够合理地模拟桩-土界面的力学行为,可以描述接触面刚度的非线性变化,也适于程序化计算,拓展了接触面统计损伤本构模型的应用领域,为深入探讨桩基承载变形性状奠定了基础。  相似文献   

11.
12.
考虑温度影响的花岗岩蠕变全过程本构模型研究   总被引:2,自引:0,他引:2  
以北山花岗岩为研究对象,采用MTS815岩石力学试验系统开展不同温度条件下的蠕变特性试验研究。考虑温度对花岗岩特征参数的影响,结合岩石蠕变破坏过程中的损伤演化规律,提出了一种新的高温损伤流变元件。通过将高温损伤流变元件代替经典西原模型中Newton元件的方法,构建了能够描述不同温度条件下花岗岩蠕变全过程的本构模型。分析了不同温度条件下花岗岩单轴蠕变试验结果,确定了模型参数,获得了温度对花岗岩蠕变关键参数的影响规律。通过对花岗岩高温蠕变模型进行参数敏感性分析,揭示了弹性模量、黏性系数等关键参数对花岗岩蠕变特性的影响规律,并验证模型在不考虑温度及损伤的影响条件下可退化为经典西原模型。研究表明,建立的花岗岩高温蠕变本构模型可以准确地描述花岗岩典型蠕变全过程的3个阶段,尤其是加速蠕变阶段。黏性系数受损伤的影响越大,花岗岩的稳定蠕变阶段越短,越容易发生加速蠕变。  相似文献   

13.
A numerical model, called CCRS1, is presented for one‐dimensional large strain consolidation under constant rate of strain loading conditions. The algorithm accounts for vertical strain, general constitutive relationships, relative velocity of fluid and solid phases, changing compressibility and hydraulic conductivity during consolidation, and an externally applied hydraulic gradient acting across the specimen. Soil compressibility is rate independent, and as such, the current model is most appropriate for less‐structured clays. Verification checks show excellent agreement with analytical and numerical solutions for small and large strain conditions. A series of numeric examples indicates that compressibility and hydraulic conductivity constitutive relationships can have an important effect on constant rate of strain consolidation response. Results also indicate that analytical solutions obtained using small strain theory can be in significant error for large strain conditions with changing coefficient of consolidation. Copyright © 2012 John Wiley & Sons, Ltd.  相似文献   

14.
何明明  李宁  朱才辉  陈蕴生 《岩土力学》2016,37(11):3137-3144
为了可以合理地描述岩石的体积变形行为,从分数阶微积分出发,基于分数阶常黏性和变黏性系数Abel黏壶元件,提出了环向-轴向应变分数阶黏壶,构建了岩石在单三轴压缩,松弛及蠕变条件下的分数阶体积应变-轴向应变关系,得到了模型的解析解,新模型可为求解岩石的体积应变提供一种新方法。在完整砂岩、泥岩试样及单裂隙砂岩试样的单三轴压缩、松弛及裂隙花岗岩蠕变试验数据的基础上,通过拟合分析确定了分数阶导数体积-轴向应变关系模型的参数,并进行了参数敏感性分析,揭示了围压、单裂隙倾角、微分阶数及模型参数对体积应变的影响规律。结果表明,利用该黏壶构建的体积-轴向应变关系模型,不仅可以更好地描述岩石体积变形的剪缩、剪胀特性,还能够反映岩石的松弛及蠕变变形特性。  相似文献   

15.
This paper develops a novel return mapping algorithm for the numerical integration of general isotropic finite strain elastoplastic constitutive models for geomaterials. The constitutive formulation is founded on multiplicative decomposition of the deformation gradient. The logarithmic strain measure as well as the exponential approximation of the plastic flow rule is utilized to restore the standard infinitesimal format return mapping algorithm. Central to the algorithm is the exploitation of a set of three mutually orthogonal unit base tensors for the representation of constitutive relations and the corresponding integration of the rate form of the constitutive equations. The base tensors constitute a local cylindrical coordinate system in the principal space, which allows to formulate the return mapping algorithm in the three‐dimensional space and reduce the dimension of the problem to be analyzed from six down to three. With the proposed approach, direct determination of the principal axes and the transformation procedure between the general space and the principal space, as required in traditional spectral decomposition, are avoided. Furthermore, the matrices that are involved in the inversion evaluation take simple forms, leading to extremely easy inverse computation. As a result, the consistent tangent operator can be streamlined into a form simpler and more compact than those by conventional integration methods. Following the formulation of the integration procedure, a numerical experiment is performed to assess the accuracy and efficiency of the proposed algorithm. Copyright © 2014 John Wiley & Sons, Ltd.  相似文献   

16.
单轴压缩下岩石应变局部化的应变梯度塑性解   总被引:3,自引:2,他引:1  
陈刚  潘一山 《岩土力学》2004,25(5):694-699
通过在屈服函数中引入材料内部长度建立应变梯度塑性增量本构关系,对岩石材料在单轴压缩条件下应变局部化的二维情况进行了研究。首先,建立了在Mises屈服准则下平面应变情况的岩石材料应变局部化带的带宽与其倾角的关系式,讨论了其带宽的分布范围和最大值与最小值形成的条件,给出岩石材料破坏Ⅰ, Ⅱ类变形的条件,并推出破坏的临界角度;其次,对岩石材料Ⅰ类变形进行了详细地分析,讨论了在不同泊松比 和 条件下材料应变局部化带的倾角的变化范围;最后,利用所得的结论同材料破坏的库仑准则进行对比研究,对内摩擦系数给予了合理的解释。  相似文献   

17.
18.
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   

19.
Unsaturated soils are highly heterogeneous 3‐phase porous media. Variations of temperature, the degree of saturation, and density have dramatic impacts on the hydro‐mechanical behavior of unsaturated soils. To model all these features, we present a thermo‐hydro‐plastic model in which the hydro‐mechanical hardening and thermal softening are incorporated in a hierarchical fashion for unsaturated soils. This novel constitutive model can capture heterogeneities in density, suction, the degree of saturation, and temperature. Specifically, this constitutive model has 2 ingredients: (1) it has a “mesoscale” mechanical state variable—porosity and 3 environmental state variables—suction, the degree of saturation, and temperature; (2) both temperature and mechanical effects on water retention properties are taken into account. The return mapping algorithm is applied to implement this model at Gauss point assuming an infinitesimal strain. At each time step, the return mapping is conducted only in principal elastic strain space, assuming no return mapping in suction and temperature. The numerical results obtained by this constitutive model are compared with the experimental results. It shows that the proposed model can simulate the thermo‐hydro‐mechanical behavior of unsaturated soils with satisfaction. We also conduct shear band analysis of an unsaturated soil specimen under plane strain condition to demonstrate the impact of temperature variation on shear banding triggered by initial material heterogeneities.  相似文献   

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