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1.
Lain Allison 《Journal of Structural Geology》1984,6(3):331-333
The pole of a Mohr diagram, for the two-dimensional case, is a unique point on the Mohr circle which permits any point on the Mohr circle to be related to the direction in the physical plane associated with that point. A Mohr diagram can be constructed for any second rank tensor. To illustrate the simplicity of this geometrical construction two examples of the use of the pole are presented, one for the strain tensor and the other for the stress tensor. 相似文献
2.
有限应变测量的关键原理——摩尔圆 总被引：1，自引：0，他引：1
20世纪60年代,在板块理论建立的同时,对变形岩石和矿田构造作定量分析以替代定性分析的有限应变测量方法也建立了起来。定量分析的主要标志是将摩尔圆方法从力学引入到地质学,同时也引入矿田构造分析中,并且得到改进与发展。有限应变摩尔圆为分析岩石大变形而建立,极摩尔圆随后为分析广布于野外岩石中的一般剪切变形而建立。我国著名学者李四光在此之前将应力摩尔圆和库仑准则从力学领域介绍到构造地质学,尔后一些中国学者为改进和发展极摩尔圆方法作出了自己的贡献。本文以浅显的方式解释摩尔圆的基本概念和作图方法,附带做些练习和解答。 相似文献
3.
《Journal of Structural Geology》1986,8(7):819-830
The Mohr diagram for strain is rarely used in its full form, as a representation of three-dimensional strain. Recent attention has focused on various uses of the Mohr circle to express two-dimensional strain tensors. This contribution redescribes the Mohr diagram for three-dimensional strain and illustrates some new applications. The Mohr diagram for any strain ellipsoid provides an immediate method for ellipsoid shape classification. However, its greatest new potential is considered to be in the representation of strain ellipses as sections of ellipsoids.Any plane section of a strain ellipsoid can be plotted on the ellipsoid's Mohr diagram: it is here called a ‘Mohr locus’ because it is constructed as a locus of points representing the sheaf of lines which can be considered to define the plane. Mohr loci for sectional ellipses have a variety of forms, according to their orientation in the strain ellipsoid. Generally oblique sections are represented by loops bounded by the three principal circles. Their most leftward and rightward points are the plane's principal axes. Any Mohr locus can be transformed into a Mohr circle for the sectional ellipse.Mohr diagrams with Mohr loci have considerable potential as a graphical method of deriving best-fit strain ellipsoids from natural strain data. This is illustrated in three examples. 相似文献
4.
运动学涡度和极摩尔圆的基本原理与应用 总被引：12，自引：0，他引：12
运动学涡度是岩石递进变形中非同性的一种量度，利用其对韧性剪切带进行应变分解，确定剪切作用类型是当今构造地质学研究的较新课题。极摩尔圆同时适用共轴和非共为形，是应变分析的一种有利工具，并特别适用于从应变测量数据求取运动学涡度；从力学理论角度对运动学涡度进行了系统而简明的论述，地极摩尔圆的原理进行了推导，提出了它们在韧性剪切带应变分析中的应用。 相似文献
5.
运动学涡度、极摩尔圆及其在一般剪切带定量分析中的应用 总被引：19，自引：0，他引：19
自然界中剪切带通常是由平行于剪切带方向的简单剪切和与之垂直的纯剪切共同作用的结果。利用运动学涡度(WK)可以定量地分析两者间的比值大小。一般摩尔圆只能应用于共轴应变,而极摩尔圆可应用于共轴与非共轴变形,并为求取WK提供了一种简便可行的方法。本文对一般剪切带的概念及其分类进行了描述,对运动学涡度和极摩尔国的原理及其应用进行了系统的论述,并在此基础上提出了几种新的实用的极摩尔国编制方法。 相似文献
6.
7.
硬石膏常规三轴压缩下强度和变形特性的试验研究 总被引：2，自引：1，他引：1
采用伺服刚性试验机对硬石膏进行了不同围压下的常规三轴试验,研究了硬石膏的强度和变形特性。结果表明,在低围压下硬石膏破坏方式为剪切破坏;在围压超过10 MPa时,硬石膏表现出明显的塑性流动特性。观察试验后试样发现,在围压为18 MPa时,硬石膏已经没有明显的破坏面,而是表现出明显的膨胀现象。硬石膏的峰值强度与围压近似成正比例关系。分析了峰值应变、弹性模量随围压的变化规律,其结果表明：随着围压的升高,硬石膏的的峰值应变与弹性模量均逐渐增加。根据三轴试验结果绘制了摩尔包络线,采用回归分析得到了强度准则和抗剪强度参数c、? 值,其研究结果可为地下工程提供参考与借鉴。 相似文献
8.
莫尔圆在岩土材料的强度理论、应力路径以及地基承载力等方面具有广泛的应用。极点是莫尔应力圆上的一个特殊点,具有惟一性,通过极点,可以求得任意分析平面的应力状态。特别是对于求解复杂状态下的应力问题,莫尔圆极点法具有简便、快捷的优点。提出了定义极点的新方法--射线法,利用应力隔离体力的平衡法则证明了该方法定义极点的正确性及惟一性,并且发现定义极点的平行线法和法线法是射线法的两种特殊情况。通过比较,发现不同方法所得到的极点位置并不相同,但求得的任意面上的应力状态是相同的,而且平行线法更便于使用。然而,所提出的射线法能加深对莫尔圆极点的理解,从而进一步推动其广泛应用。 相似文献
9.
If the particle paths are known for deforming continuous media such as rocks, the strain is determined at all stages of the deformation. The particle paths are studied for various types of simultaneous combinations of pure shear and simple shear. Any kind of progressive plane homogeneous strain can be expressed as a simultaneous superposition of pure shear and simple shear by selecting the proper ratio between the two strain rates and the proper angle between the slide direction of the simple-shear part and the principal axes of the pure-shear part. In the cases studied — except one — the angle between the slide direction of the simple-shear part and the principal strain rate
of the pure-shear part is 45°. Several combinations of the simple-shear rate, γ, and the pure-shear rate,
, are tested. These combinations give particle paths varying from sets of straight parallel lines to orthogonal hyperbolas. Distorted hyperbolas, ellipses and circles constitute the particle paths at intermediate
ratios. From the particle-path equations — which are found by integration of the rate-of-deformation equations — the strain ellipse is readily determined at any stage of the deformation. One particularly intriguing result is the rotating and pulsating strain ellipse found in the cases when the particle paths are closed curves (ellipses). Application of the results to various fold-, thrust- and inclusion structures is suggested. In an appendix the treatment of rotational deformation as a superposition of irrttational strain and rigid rotation is considered for comparison. 相似文献
10.
对单剪条件下的应力莫尔圆变化过程进行详细分析,将莫尔圆从初始状态到破坏状态的大、小主应力变化过程看做由若干个等增量步组成,从而推导出任意剪应力状态与初始状态对应的小主应力差值与两者大主应力差值的比为一常数,该常数可以根据初始状态莫尔圆和破坏时对应的莫尔圆确定。推导出单剪条件下任意剪应力对应的大、小主应力及主应力轴方向的表达式。讨论了土体材料参数及法向应力对主应力轴偏转过程的影响以及大、小主应力与剪应力的关系。结果表明：在土体材料参数一定的条件下,主应力轴方向由应力比唯一确定;法向应力一定,土体的摩擦角越小,相同剪应力对应的主应力偏转角越大;剪切起始阶段,主应力变化缓慢,随着剪应力增大,主应力急剧变化至土样破坏时保持不变。 相似文献
11.
改性料礓石作为一种传统硅酸盐建筑材料,可以与修复加固的文物本体很好兼容且牢固结合,现阶段已经运用到文物保护工作中。为研究其全面的力学特性,在前人研究基础上,采用伺服刚性试验机对改性料礓石进行了不同围压下的常规三轴试验、单轴压缩试验及巴西劈裂试验。试验结果表明：材料具有较高的抗压强度和抗拉强度,同时具有韧性特征。在低围压时,试样表现为剪切破坏,当围压超过6 MPa时,试样表现出明显的塑性流动特征,且试样的峰值强度与围压近似线性关系。通过绘制莫尔圆包络线计算出抗剪强度参数c、? 值,并分析了峰值应变、弹性模量和围压的关系。分析改性料礓石结石体的微观结构及固化过程中的化学成分变化,认为水化和碳化产物包裹石英砂颗粒的特殊结构,是材料具备韧性特征的原因。研究结果对改性料礓石的应用及文物修复的现场工作具有重要的意义与价值。 相似文献
12.
Reinforced earth in plane strain is idealized as a homogeneous material with the strips attached to the elastic soil matirx by a conceptual shear zone. A ‘no-slip’ finite element model is derived by assigning a large shear modulus to the shear zone. Relaxation of this modulus using a tangential stiffness algorithm in conjunction with a Mohr–Coulomb strip-slip criterion allows slipping to be simulated. The finite element formulation is validated and the finite element discretization assessed by comparisons against exact solutions for a simple test problem. An idealized reinforced earth wall example is used to demonstrate the feasibility of the method and to answer the question: ‘is slipping significant?’ The method is shown to be potentially useful, and slipping is shown to be significant. 相似文献
13.
The essential difference in the formation of conjugate shear zones in brittle and ductile deformation is that the intersection angle between brittle conjugate faults in the contractional quadrants is acute(usually ~60°) whereas the angle between conjugate ductile shear zones is obtuse(usually 110°). The Mohr-Coulomb failure criterion, an experimentally validated empirical relationship, is commonly applied for interpreting the stress directions based on the orientation of the brittle shear fractures. However, the Mohr-Coulomb failure criterion fails to explain the formation of the low-angle normal fault, high-angle reverse fault, and the conjugate strike-slip fault with an obtuse angle in the σ1 direction. Although it is ten years since the Maximum-Effective-Moment(MEM) criterion was first proposed, and increasingly solid evidence in support of it has been obtained from both observed examples in nature and laboratory experiments, it is not yet a commonly accepted model to use to interpret these antiMohr-Coulomb features that are widely observed in the natural world. The deformational behavior of rock depends on its intrinsic mechanical properties and external factors such as applied stresses, strain rates, and temperature conditions related to crustal depths. The occurrence of conjugate shear features with obtuse angles of ~110° in the contractional direction on different scales and at different crustal levels are consistent with the prediction of the MEM criterion, therefore ~110° is a reliable indicator for deformation localization that occurred at medium-low strain rates at any crustal levels. Since the strain–rate is variable through time in nature, brittle, ductile, and plastic features may appear within the same rock. 相似文献
14.
《Journal of Structural Geology》1986,8(2):101-109
In the Hercynian Fold Belt of South Ireland, near the town of Ardmore, County Waterford, units of openly folded Upper Palaeozoic sandstone and siltstone are traversed by closely spaced arrays of en échelon quartz veins. These arrays mark the sites of shear zones which are bounded by weakly deformed wall rocks. We used the attitude of cleavage and the sigmoidal shapes of veins to calculate the cumulative shear strain across each zone, and then determined the bulk deformation suffered by the outcrop by tensor analysis, with the aid of an off-axis Mohr circle construction. We conclude that, as a consequence of vein formation, the rocks at this outcrop suffered significant bulk deformation with an 8–14° clockwise rotation. 相似文献
15.
C. W. Passchier 《Tectonophysics》1990,180(2-4):185-199
In any homogeneously deformed material, sets of material lines with a similar stretch history occupy sectors with a scale and orientation that depend on finite strain, area change rate and vorticity of the parent flow. If the size and shape of these “material line sectors” are known, they can be used to determine the sense of shear and to calculate deformation and flow parameters, even if actual stretches along material lines are unknown. In rocks which have undergone near-homogeneous deformation on a large scale, the orientation of sets of boudinaged folded and folded-boudinaged or boudinaged-folded veins can be used for such calculations. A general theoretical background to the problem is presented and a Mohr circle construction to carry out the deformation and flow analysis is introduced. Among other statements, the theory predicts that shortened or folded boudins must develop in non-coaxial monophase deformation, with considerable area change in the plane of observation, or in polyphase deformation. 相似文献
16.
韧性剪切带的剪切作用类型和韧性减薄量 总被引：1，自引：0，他引：1
韧性剪切带组构的演化和剪切作用类型受到许多研究者的关注。运用极莫尔圆法、有限应变法、刚性颗粒法、石英光轴组构结合有限应变测量法、拖尾形态法、剪切带内变形脉体(岩墙)法、碎斑法等方法可以估算剪切带变形过程中的运动学涡度,进而判别剪切带中单剪切组分与纯剪切组分的相对含量。自然界的剪切带一般介于单剪与纯剪之间,运动学涡度Wk介于0~1之间,表明韧性剪切带在变形过程中发生了垂直于剪切带边界(Z轴)方向的韧性减薄。剪切带变形过程中的韧性减薄量可依据有限应变测量与运动学涡度估算求得,也可依据剪切带内的石香肠(布丁)构造求解,还可依据构建极莫尔圆求解。以华北克拉通北缘的楼子店变质核杂岩及其韧性剪切带,以及希腊西奈山的Chelmos剪切带为例,介绍估算韧性剪切带韧性减薄的方法,这种韧性减薄是对大规模岩石圈减薄的有益补充和完善。研究结果表明,定量估算与变质核杂岩相关的韧性剪切带的剪切作用类型是分析变质核杂岩形成机制的有效途径和方法。 相似文献
17.
Since their introduction to the geological literature by Brace (1959, 1960, 1961), Mohr circles for large irrotational deformations have proved valuable as aids to our understanding of deformation geometry. However, confusion persists regarding sign conventions. We show that there are two basic kinds of Mohr circles, each with its distinct set of sign conventions. These two divisions, which we call Mohr circles of the First and Second Kind, are not merely reflections of one another in Mohr space. They represent two distinct aspects of the relationship between the space of tensor components (Mohr space) and the space of geological structures (geographical space). The distinction between Mohr circles of the First and Second Kind is critical when the circles are drawn in off-axis positions for asymmetric tensors. Constructions in Mohr space are described which correspond to various standard tensor operations including transposition, inversion, addition and various kinds of multiplication. For some of these operations Mohr circles of one kind or the other offer advantages. 相似文献
18.
东北亚大陆于晚中生代时期发生了大规模地壳伸展,发育变质核杂岩和不对称花岗岩穹隆,其伸展剪切机制一直是构造研究的重要内容之一。中蒙边界东南段沿北东向展布了罕乌拉、纳兰和宝德尔等3个不对称花岗岩伸展穹隆,主体均为晚中生代花岗岩侵入体,岩体西北缘发育韧性剪切(糜棱岩)带,并被后期高角度正断层所围限,整体为穹隆状。根据罕乌拉穹隆韧性剪切带内强变形中粗粒钾长花岗岩(133±1 Ma)和弱变形细粒花岗岩(128±2 Ma)的构造关系及其锆石U-Pb年龄,推测该穹隆内岩体可能为同伸展岩体,韧性伸展时间在133 Ma之后并持续至128 Ma或更晚,与同区其他穹隆发育时限相同。笔者用Rf/ф方法测量了3个穹隆剪切带内糜棱岩中长石的有限应变轴率,利用Hsu图解获得其应变类型为平面压扁应变(k=0.5)。用长石极莫尔圆法、刚性颗粒网法和C轴石英组构法估算了韧性剪切的长期变形过程,得到糜棱岩的平均运动学涡度值为0.68～0.74,表明这些穹隆的韧性剪切作用主要是纯剪切和简单剪切分量几乎相等的一般剪切作用。石英斜向条带法测得的韧性变形后期的运动学涡度值为0.87～0.99,平均值为0.93... 相似文献
19.
Strain analysis of a shear zone in a granodiorite 总被引：1，自引：0，他引：1
A ductile shear zone in a late Precambrian granodiorite, from the Rouergue (southwest part of the French Massif Central) has been studied.A single episode of deformation is responsible for the formation of a foliation and a well-defined lineation which are localized into an elongated zone, a few decimeters wide.The strain features can be attributed to a simple-shear mechanism (Ramsay and Graham, 1970), so that the main parameters of the deformation are defined.At stages of increasing deformation, the quartz isotropic sub-fabric of the undeformed host rock is progressively transformed into an anisotropic fabric composed of a single oblique girdle while the subgrain size progressively decrease and the dislocation density remains constant. It is suggested that the gliding planes of quartz are the basal plane (0001) and a predominant prismatic plane 101̄0 the slip directions may be a for both glide-planes.The results obtained in this investigation provide a basis for a high voltage electron microscope (H.V.E.M.) study which shows that the fabrics development may be related to dislocation processes. The difference of strain rates in the host rock and in the shear zone is calculated from the dislocation microstructures. 相似文献
20.
高应力状态下的黄土抗剪强度特性研究 总被引：1，自引：0，他引：1
土体抗剪强度包络线在一定的应力范围内可近似看做直线, 一般工程中直剪试验正应力和三轴试验围压常为0～400kPa, 试验可得出以黏聚力c和内摩擦角确定的强度。在黄土地区, 人工和自然边坡可超百米, 坡内应力自低到很高变化范围大, 对该类高边坡需考虑强度参数随应力状态的变化。本文先通过线弹性有限元模拟一黄土高边坡应力场。以潜在滑面上关键点的应力为固结应力进行三轴压缩试验(NCTC)。为了对比分析, 又进行了100kPa、200kPa、300kPa、400kPa围压下的三轴压缩试验(CTC)。结果表明, 考虑黄土高边坡应力状态时, 由总应力莫尔圆得到的强度包络线为曲线, 直线型莫尔-库伦强度准则不适用; 而有效应力莫尔圆的到的强度包络线可为直线, 其有效强度参数高于CTC试验。在-应力空间中, NCTC试验总强度包络线和有效包线均位于CTC试验强度包线之上, 抗剪强度高, 这同固结应力高且为偏压固结有关。 相似文献