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1.
Unified characteristics line theory of spacial axisymmetric plastic problem   总被引:4,自引:0,他引:4  
The unified strength theory proposed by Yu in 1991 is extended to special axisymmetric problem. A unified special axismymmetric characteristics line theory based on the unified strength theory is proposed. This theory takes account of different effects of intermediate principal stress on yielding or failure and the SD effect (tensile-compression strength difference) of materials. Various conventional axisymmetric characteristics line theories, whihc are based on the Haar-von Karman plastic condition, Szczepinski hypothesis, Tresca criterion, von Mises criterion and Mohr-Coulomb theory, are special cases of the new theory. Besides, a series of new spacial axisymmetric characteristics fields for different materials can be introduced. It forms a unified spacial axisymmetric characteristics theory. Two examples are calculated with the new theory, the results are compared with those obtained by the finite element program UEPP and those based on the Mohr-Coulomb strength theory. It is shown that the new theory  相似文献   

2.
A new method to predict the ultimate strength of fiber reinforced composites under arbitrary load condition is introduced. The micromechanics strength theory is used to perform the final failure prediction of composite laminates. The theory is based on unit cell analytic model which can provide the ply composite material properties by only using the constituent fiber and matrix properties and the laminate geometric parameters without knowing any experimental information of the laminates. To show that this method is suitable for predicting the strength of composite laminates, the micromechanics strength theory is ranked by comparing it with all the micro-level and the best two macro-level theories chosen from the World Wide Failure Exercise. The results show that this method can be used for predicting strength of any composite laminates and provide a direct reference for composite optimum design.  相似文献   

3.
The shear behavior of rock joints is important in solving practical problems of rock mechanics. Three group rock joints with different morphologies are made by cement mortar material and a series of CNL(constant normal loading) shear tests are performed. The influences of the applied normal stress and joint morphology to its shear strength are analyzed. According to the experimental results, the peak dilatancy angle of rock joint decreases with increasing normal stress, but increases with increasing roughness. The shear strength increases with the increasing normal stress and the roughness of rock joint. It is observed that the modes of failure of asperities are tensile, pure shear, or a combination of both. It is suggested that the three-dimensional roughness parameters and the tensile strength are the appropriate parameter for describing the shear strength criterion. A new peak shear criterion is proposed which can be used to predict peak shear strength of rock joints. All the used parameters can be easily obtained by performing tests.  相似文献   

4.
At present, the mechanics theories studying softrock engineering gcnerally depend on linear small-deformation hypothesis of classical mechanics, Although these theories can be considered with the physical non-linear features of softrock, it is still an approximate theory of geometric small-deformation. Because of the specific characteristics of medium environment, the problem of softrock engineering should be thought as large deformation. This article will prove the advantages of large deformation theory in solving softroek problem with an example of the No. 2 pit of NaLong Coal Mine. This will provide a bencflcal method for the studying of large deformation mechanics of softroek engineering.  相似文献   

5.
The present paper aims to establish a versatile strength theory suitable for elasto-plastic analysis of underground tunnel surrounding rock. In order to analyze the effects of intermediate principal stress and the rock properties on its deformation and failure of rock mass, the generalized nonlinear unified strength theory and elasto-plastic mechanics are used to deduce analytic solution of the radius and stress of tunnel plastic zone and the periphery displacement of tunnel under uniform ground stress field. The results show that: intermediate principal stress coefficient b has significant effect on the plastic range,the magnitude of stress and surrounding rock pressure. Then, the results are compared with the unified strength criterion solution and Mohr–Coulomb criterion solution, and concluded that the generalized nonlinear unified strength criterion is more applicable to elasto-plastic analysis of underground tunnel surrounding rock.  相似文献   

6.
Considering the rheological properties of rock and soil body,and exploiting the merit of strength reduction technique,a theory of couple analysis is brought forward on the basis of strength reduction theory and rheological properties.Then,the concept and the calculation procedure of the safety factor are established at different time.Making use of finite element software ANSYS,the most dangerous sliding surface of the slope can be obtained through the strength reduction technique.According to the dynamic safety factor based on rheological mechanism,a good forecasting could be presented to prevent and cure the landslide.The result shows that the couple analysis reveals the process of the slope failure with the time and the important influence on the long-term stability due to the rheological parameters.  相似文献   

7.
FGM structure is defined as a kind of generalized equivalent structure according to the structure and properties of materials. This paper uses the mature plate theory and the composite material laminate theory in the analysis of FGM structure and thus puts forward a kind of new concept and a new idea. A brand-new theory, the generalized equivalent antisymmetry bending theory, which can be used to analyze the structure and properties of FGM, is formed. In addition, the correctness, reliability and foresightedness of the theory are testified through concrete analysis and calculation of the applicable FGM structure by utilizing the generalized double Fourier series solution on one hand; on the other hand, it is compared with the existing theories and experiments.  相似文献   

8.
In order to overcome the nonlinearity of Mises criterion, a new linear yield criterion with a dodecagon shape of the same perimeter as Mises criterion was derived by means of geometrical analysis. Its specific plastic work rate expressed as a linear function of the yield stress, the maximum and minimum strains was also deduced and compared with that of Mises criterion. The physical meaning of the proposed yield criterion is that yielding of materials begins when the shear yield stress τs reaches the magnitude of 0.594σs. By introducing the Lode parameter, validation of evolution expressions of the proposed yield criterion with those based on Tresca, Mises and TSS criteria as well as available classical yield experimental results of various metals shows that the present results intersect with Mises results and coincide well with experimental data. Moreover, further application to the limit analysis of circle plate as an example is performed to demonstrate the effectiveness of the proposed yield criterion, and the subsequent comparison of limit loads with the Tresca analytical solutions and Mises numerical results shows that the present results are higher than the Tresca analytical results, and are in good agreement with the Mises numerical results.  相似文献   

9.
This paper is devoted to developing a yield criterion that can model the asymmetry and anisotropy in yielding of pressure insensitive metals,in terms of accuracy and simplicity of formulation.First,a new isotropic yield criterion,which can model the asymmetry in yielding of pressure insensitive metals,is proposed.Further,using Cazacu’s generalizations to anisotropic conditions of the invariants of the deviatoric stress,the proposed isotropic yield criterion is extended to orthotropy.The proposed anisotropic criterion has a quite simple form,and the number of material constants involved is only half of that of Cazacu’s(2004) yield criterion.Compared to Hill’s(1948) yield criterion,the proposed anisotropic yield criterion has three additional constants,which are used to model the tension-compression asymmetry of materials.All the material constants involved in the criterion can be determined by simple tests.The proposed criterion reduces to Hill’s(1948) yield criterion if the tensile and compressive yield stresses are equal.In other words,the proposed anisotropic yield criterion can be considered as an extension of Hill’s(1948) criterion to tension-compression asymmetry materials.The anisotropic yield criterion is used to describe the plastic response of Cu-Al-Be shape memory alloy(data after Laydi and Lexcellent) and Ni3Al based intermetallic alloy IC10 sheets.It is shown that the proposed yield criterion can describe very well the asymmetry and anisotropy observed in those materials.  相似文献   

10.
Based on the generalized gauge function, a numerical criterion which specifies the topological rela-tionship between convex polyhedra is presented. It can be applied to detecting the overlap, just contact or separation between two sets of convex polyhedra. As the solution of a linear programming problem, the value of this criterion can be calculated easily. The presented criterion is available to provide heuristic information for generating intermediate configuration point as well as checking the hypothesized path for admissibility in flexible-trajectory path planning ap-proach.  相似文献   

11.
一种考虑主应力空间的岩石非线性真三轴强度准则   总被引:1,自引:0,他引:1  
为评估岩石的真三轴强度特性,首先根据常规三轴试验岩石强度的变化规律,提出基于偏应力极值的非线性强度准则,并与12种岩石试验强度和4种典型岩石强度准则进行对比,发现该强度准则的预测值与试验强度非常接近,相关性系数R~2均在0.98以上,平均相对误差(MAPE,E_(MAP))均小于4%(除7号岩石为6.83%);该强度准则、指数准则、H-B准则、MM-C准则和D-P准则对所有12种岩石预测E_(MAP)的平均值分别为2.32%、2.43%、5.28%、7.39%和13.74%,说明该强度准则能够很好地预测不同类型岩石的强度,其预测精度略优于指数准则(岩石力学界认为预测精度较高的强度准则),远好于其他3种强度准则。在上述所建常规三轴强度准则的基础上,通过引入中主应力参数和罗德应力参数,构建考虑中主应力效应的真三轴强度准则,并与8种岩石的真三轴试验强度进行对比,该强度准则很好地反映了大主应力随中主应力的增加呈先增大后减小的变化规律,所得R~2均在0.9以上,其中5种岩石的R~2大于0.96;除了13和14号岩石(E_(MAP)分别为7.79%和4.84%),其余6种岩石的平均相对误差E_(MAP)均小于4%,说明该强度准则能够较好地预测岩石的真三轴试验强度,很好地反映了中主应力效应,具有良好的普遍适用性。子午面和偏平面的应力空间特征也说明该强度准则很好地反映了岩石的静水压力效应和中主应力对大主应力的影响规律。  相似文献   

12.
Matsuoka-Nakai破坏准则有两个缺点:一是没有考虑岩土类材料的内聚力对材料的强度贡献,二是它与子午面的交线是直线,基于此,提出了一个拓展的Matsuoka-Nakai破坏准则.该准则在保持Matsuoka-Nakai破坏准则优点的基础上,考虑了岩土类材料的内聚力对其破坏强度的影响,且在子午面上呈现为外凸的曲线形状,因而能更合理地模拟岩土类材料的强度特性.红砂岩的真三轴试验资料检测了该拓展的Matsuoka-Nakai破坏准则的有效性.最后借助该拓展的破坏准则,通过寻求试验强度与预测强度之间的误差函数最小值的方法,提出了一个评估试验中难以测准的岩土类材料抗拉强度的计算方法.  相似文献   

13.
Based on Mohr-Coulomb (M-C) criterion, the parameters of Druker-Prager (D-P) criterion for geomaterial were determined under non-associated flow rule, and thus a new D-P type criterion was presented. Two assumptions were employed during the derivation: 1) principal strains by M-C model and D-P model are equal, and 2) the material is under plane strain condition. Based on the analysis of the surface on π plane, it is found that the proposed D-P type criterion is better than the D-P criterion with M-C circumscribed circle or M-C inscribed circle, and is applicable for stress Lode angle less than zero. By comparing the predicted results with the test data of sand under plane strain condition and other D-P criteria, the proposed criterion is verified and agrees well with the test data, which is further proved to be better than other D-P type criteria in certain range of Lode angle. The criterion was compiled into a finite difference package FLAC3D by user-subroutine, and was used to analyze the stability of a slope by strength reduction method. The predicted slope safety factor from the proposed criterion agrees well with that by Spencer method, and it is more accurate than that from classic D-P criteria.  相似文献   

14.
利用GDS空心圆柱扭剪仪,在不同平均主应力条件下对青海重塑黄土进行一系列定向剪切试验,研究平均主应力对青海重塑黄土应力应变特性的影响。试验保持中主应力系数b不变,在不同平均主应力条件下,将重塑黄土试样分别进行主应力轴未发生旋转和旋转45°两种剪切破坏应力路径的剪切试验。结果表明:平均主应力和主应力方向角对重塑黄土的强度和变形有着显著影响;重塑黄土在大主应力方向角等于45°剪切破坏时峰值八面体剪应力与平均主应力呈线性关系,重塑黄土破坏时所产生的八面体剪应变发展趋势基本相同;剪切过程中,重塑黄土的大主应变和小主应变成对称发展,破坏时中主应变只有小幅度增长。当八面体剪应力-应变曲线没有出现峰值时,建议采用八面体剪应变为15%对应的八面体剪应力作为重塑黄土的破坏标准。  相似文献   

15.
Gaussian peaks decomposing of simple liquids' RDF   总被引:1,自引:0,他引:1  
According to feasibility of Gaussian peaks decomposing distribution function (DF) 4πrρ(r), radial distribution function (RDF) 4πr~2ρ(r) of simple liquids also is possibly decomposed into Gaussian peaks with r in the size of several atoms. Experimental structure parameters of pure liquid Al and Si were obtained by θ-θ X-ray diffraction measurements and following data processing. Based on Gaussian decomposing liquid aluminun's DF 4πrρ(r), liquid aluminum and silicon's radial distribution function (RDF) 4πr~2ρ(r), it is shown that RDF of simple liquids is able to be decomposed in Gaussian function, compared with decomposing of DF, supplying more physical meaning and better indicating the short range order of liquids, whicb draws a clearer structure picture of simple liquids.  相似文献   

16.
In order to investigate the influence of intermediate principal stress on the stress-strain and strength behaviour of a coarse-grained soil, a series of true triaxial tests were performed. The tests were conducted in a recently developed true triaxial apparatus with constant minor principal stress σ 3 and constant value of intermediate principal stress ratio b=(σ 2σ 3)/(σ 1σ 3) (σ 1 is the vertical stress, and σ 2 is the horizontal stress). It is found that the intermediate principal strain, ɛ 2, increases from negative to positive value with the increase of parameter b from zero to unity under a constant minor principal stress. The minor principal strain, ɛ 3, is always negative. This implies that the specimen exhibits an evident anisotropy. The relationship between b and friction angle obtained from the tests is different from that predicted by LADE-DUNCAN and MATSUOKA-NAKAI criteria. Based on the test results, an empirical equation of g(b) that is the shape function of the failure surface on π-plane was presented. The proposed equation is verified to be reasonable by comparing the predicted results using the equation with true triaxial test results of soils, such as coarse-grained soils in this study, sands and gravels in other studies.  相似文献   

17.
A stratified rock mass model was founded by FLAC3D. The failure mode and anisotropic characteristic of strength for stratified rock mass were analyzed. The analysis results show that the numerical simulation can visually reflect the failure modes of rock samples under different inclination angles β of structural plane. The stiffness of rock sample before peak strength changes in the compressive procedure. With the increase of β, the compressive strength σ c of rock sample decreases firstly and then increases; when β is in the range of 20°–30° and 80°–90°, σ c has the largest sensitivity to β; while β falls in the range of 30°–70°, σ c varies little. When ϕ j <β<90° (β j is friction angle of structure plane), the results obtained from numerical simulation and theoretical analysis are in almost the same values; while βϕ j or β=90°, they are in great different values. The results obtained from theoretical analysis are obvious larger than those from numerical simulation; and the results from numerical simulation can reflect the difference of compressive strength of rock samples for the two situations of β⩾ ϕ j and β=90°, which is in more accordance with the real situation. Foundation item: Project (50099620) supported by the National Natural Science Foundation of China  相似文献   

18.
The characteristics of hot deformation of an α+β titanium alloy Ti-6.5Al-3.5Mo-1.5Zr-0.3Si with acicular microstructure were studied using isothermal hot compressive tests in a strain rate range of 0.01-10 s-1 at 860-1 100 °C. The true stress-true strain curves of alloy hot-compressed in the α+β region exhibit a peak stress followed by continuous flow softening; whereas in the β region,the flow stress attains a steady-state regime. At a strain rate of 10 s-1 and in a wide temperature range,the alloy exhibit...  相似文献   

19.
A comparative study for two different series, La0.67Ca0.33Mn1-xCrxO3 and La0.67+xCa0.33-x Mn1-xCrxO3 is performed with x changing from 0.04 to 0.08 through measurements of zero-field resistivity (p), magnetoresistance (MR) and ac susceptibility (Z) as functions of temperature (T). For the second group, a single insulator-metal transition was characterized by the resistivity maximum appears in p vs. T curve. For the first group, besides the resistivity peak appearing at higher temperatures, the sample shows evidence for the existence of another peak appearing at lower temperatures. Compared to the first group, the second group shows a significant enhancement in MR effect, while the measurement ofΧ-T dependence does not display obvious differences for the two series. Different behaviors observed in the two series are discussed by considering possible exchange interaction between Mn^3- ion and Cr^3- ion.  相似文献   

20.
为了解复杂应力状态下混凝土动态强度变化规律,提出了一个考虑应变率效应的八面体应力空间的多轴静动破坏准则.该准则的空间破坏包络曲面采用二次函数形式,在偏平面上的破坏包络线采用Willam-Warnke 模型在偏平面上的椭圆曲线,使用特征应力点法对拉压子午线方程进行修正以考虑偏平面上罗德角对动态强度的影响.通过对大量混凝土多轴静动强度试验成果的分析,表明此强度准则与已有的试验结果吻合较好,能很好地反映平面应力或三轴应力状态下普通混凝土的静动强度变化规律,并且形式简单,便于实际应用.  相似文献   

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