Plastic zone distribution laws and its types of surrounding rock in large-span roadway

In order to study the distribution laws and types of plastic zone of surrounding rock in large-span roadway, we analyzed the distribution laws with different spans and lateral pressures using FLAC3D numerical calcu- lation software. Based on the roadway support difficulty and distribution laws of the plastic zone of sur- rounding rock, we defined the large-span roadway and classified the types of large-span rectangular roadways. As a result, the distribution laws of the plastic zone on surrounding rock in a rectangular roadway with different spans and lateral pressures were obtained. The results show that the area of the plastic zone on surrounding rock increased with the increase of the spans and lateral pressures, and the plastic zone was symmetrical to the center line of roadway. At λ=0.5, 1.0, 1.5, and 2.0, the plastic zone presented ＂addle- shape＂ distribution, ＂ellipse＂ distribution, ＂thin and high＂ distribution and ＂inverse trapezium＂ distribu- tion, respectively. In addition, we classified the roadways into four types according to the different lateral pressures and spans, including small-span, moderate-span, large-span and extreme-large-span roadways.

Dilation angle variations in plastic zone around tunnels in rocks-constant or variable dilation parameter

Dilation angle is a significant parameter needed for numerical simulation of tunnels.Even though dilation parameter is physically variable and dependent on confinement and experienced shear plastic strain based on the existing dilation models,numerical simulations of tunnels and underground openings with constant dilation parameter usually lead to satisfactory results in practical use.This study aims to find out why constant dilation angle is enough under practical conditions to simulate numerically tunnels and underground excavations in spite of the fact that dilation angle is variable in laboratory and experimental scale.With this aim,this work studies how mobilized dilation angle varies in a plastic zone surrounding a tunnel.For the circular tunnel under uniform in situ stress field,the stepwise finite difference approximation analytical solution considering strain softening rock mass behavior with mobilized dilation angle was used to study how mobilized dilation angle varies in plastic zone around tunnel under very different conditions.In practical conditions determined in this study,dilative behavior of all over the plastic zone around the tunnel can be approximated to constant dilation angle in the middle region of the plastic zone.Moreover,the plastic zone displacements for mobilized and constant dilation angle models are compared with each other.Further investigation under more general non-uniform in situ stress conditions and non-circular tunnels is performed by using the commercial finite difference software to numerically simulate the Mine-by experimental tunnel of AECL(Atomic Energy of Canada Limited)and the arched tunnel.Although the Mine-by and arched tunnels were numerically simulated based on the mobilized dilation angle model,the variability associated with dilation angle around the simulated Mine-by and arched tunnels is insignificant,and dilation angle is approximately constant in the plastic zone.

Rules of distribution in a plastic zone of rocks surrounding a roadway affected by tectonic stress

In order to study the rules of distribution in a plastic zone of rocks, surrounding a roadway, affected by tectonic stress, we first analyzed the mechanics of a roadway affected by tectonic stress and derived a theoretical formula for the plastic zone of rocks surrounding a roadway. We also analyzed the distribution characteristics of the plastic zone under different levels of tectonic stress, vertical pressure, cohesion and friction angle of the surrounding rock. Secondly, we used numerical simulation to analyze the range and shape features of the plastic zone of rocks surrounding the roadway, given different tectonic stress levels. Finally we used a rock drilling detector to carry out field measurements on the broken state of rock surrounding the roadway at the –700 substation and channels in the Xinzhuang mine of the Shenhuo mining area. Given the measured ground stress, we analyzed the relationship between tectonic stress and the distribution of this plastic zone. Our results show that the range of the plastic zone at the top and bottom of the roadway increases with an increase in tectonic stress and this increase is especially obvious at the roadway corner.

Prediction of plastic zone size around circular tunnels in non-hydrostatic stress field

This paper discusses the calculation of plastic zone properties around circular tunnels to rock-masses that satisfy the Hoek–Brown failure criterion in non-hydrostatic condition,and reviews the calculation of plastic zone and displacement,and the basis of the convergence–confinement method in hydrostatic condition.A two-dimensional numerical simulation model was developed to gain understanding of the plastic zone shape.Plastic zone radius in any angles around the tunnel is analyzed and measured,using different values of overburden(four states)and stress ratio(nine states).Plastic zone radius equations were obtained from fitting curve to data which are dependent on the values of stress ratio,angle and plastic zone radius in hydrostatic condition.Finally validation of this equation indicate that results predict the real plastic zone radius appropriately.

PLASTIC ZONE OF SEMI-INFINITE CRACK IN PLANAR KAGOME AND TRIANGULAR LATTICES

The fracture investigations of the planar lattices made of ductile cell walls are currently limited to bending-dominated hexagonal honeycomb. In this paper, the plastic zones of stretching-dominated lattices, including Kagome and triangular lattices, are estimated by analyzing their effective yield loci. The normalized in-plane yield loci of these two lattices are almost identical convex curves enclosed by 4 straight lines, which is almost independent of the relative density but is highly sensitive to the principal stress directions. Therefore, the plastic zones around the crack tip of Kagome and triangular are estimated to be quite different to those of the continuum solid and also hexagonal lattice. The plastic zones predictions by convex yield surfaces of both lattices are validated by FE calculations, although the shear lag region caused by non-local bending effect in the Kagome lattice enlarges the plastic zone in cases of small ratio of rp/l.

INTERACTION BETWEEN A SCREW DISLOCATION AND A PLASTIC ZONE OF AN ARBITRARY SHAPE

A plastic deformation zone near a screw dislocation is treated as an equivalent transformation inclusion by means of the Eshelby inclusion theory. A closed form solution for determining the interaction between a screw dislocation and a plastically deformed zone of an arbitrary shape is obtained by using the solution between a dislocation and an equivalent transformation inclusion.

Determination of Two-Dimensional Plastic Zone Shape and SIF at Crack-Tip Using RKPM

Reproducing kernel particle Method （RKPM） is a meshless technology which has proven very useful for solving problems of elastic plastic fracture mechanics. The mode I plastic zone shape at the crack-tip in a work-hard ening material is obtained using RKPM. Ramberg-Osgood stress-strain relation is assumed and the crack-tip stress intensity factor （SIF） before and after formation of the plastic zone are examined. To impose the essential boundary conditions, penalty method is used. To construct the shape functions in the vicinity of the crack and crack-tip, both the diffraction and visibility criteria are employed. A comparison between two conventional treatments, visibility and diffraction, to crack discontinuity is conducted. The effects of different dilation parameters on SIF under plane-stress and plane-strain conditions are ~tudied. Results including plastic zone shape are compared with finite element method （FEM） to show the accuracy of RKPM. The main objective is to study the effects of different dilation parameters on SIF under plane stress and plane strain conditions and to obtain the mode I plastic zone shape at the crack-tip in a work hardening material using RKPM.

Role of plastic zone porosity and permeability in sand production in weak sandstone reservoirs

Sand production is often characterized as a two-stage process,in which material failure occurs near the cavity,leading to the formation of a plastic zone,from which particles are detached and transported out because of continuous hydrodynamic erosion under the effects of the produced fluid flow.The plastic zone porosity is affected by coupled processes,while the plastic zone permeability has a significant impact on the performance of sand production prediction,especially in weak sandstone reservoirs.Large-scale sand production experiments were conducted using a customized high-pressure consolidation apparatus.The results show that specific stress-fluid pressure conditions may create a plastic zone around a hole,which has lower permeability than the intact zone.The plastic zone comprises two subzones:a high-permeability shear band zone and a low-permeability compaction zone.During sand production,sand migrates from the compaction zone through the shear band zone to the perforation hole.Thus,sand production is associated with the increased permeability and porosity in the compaction zone.Existing sand prediction models were modified according to the new findings,resulting in a modified model with improved performance.The modified model was validated using the sanding data from a weak sandstone reservoir in Kazakhstan.

Factors Influencing High Temperature Thermo Plasticity of BNbRE Steel at the Third Brittle Zone

In view of fine cracks occurred on the surface of BNbRE continuous casting slabs for heavy rail in the practical production, the effect of two factors, i.e. deformation temperature, deformation velocity, on thermo plasticity of BNbRE steel at the third brittle zone was quantitatively investigated on GLEEBLE-1500D thermal-mechanical simulator after measuring the RA-T curve of BNbRE steel. The results provide experimental data for optimizing the technology of continuous casting secondary cooling zone and avoiding the occurrence of fine surface cracks.

DISLOCATION DISTRIBUTION IN PLASTIC ZONE AT A CRACK TIP WHILE THE HARD SECOND PHASE EXISTS

Recent observations by electron microscopy have shown that a dislocation-free zone (DFZ) exists between the crack tip and the pile-up of dislocations in the plastic zone. Shang, S. J., Ohr, S. M. and Majumdar, B. S., Burns, S. J. have discussed the problem of the plastic zone at a crack tip in isotropic elastic medium. We know that the hard second phase, which neither causes very large stress concentration nor leads to micrographic split, can improve the bearing capacity of the materials. Therefore, it is necessary to discuss the problem of the plastic zone at a crack tip while the hard second phase exists.

Elastic-plastic analysis of antiplane crack near crack surface region

The elastic-plastic stress distribution and the elastic-plastic boundary con- figuration near a crack surface region are significant but hard to obtain by means of the conventional analysis. A crack line analysis method is developed in this paper by consid- ering the crack surface as an extension of the crack line. The stresses in the plastic zone, the length, and the unit normal vector of the elastic-plastic boundary near a crack surface region are obtained for an antiplane crack in an elastic-perfectly plastic solid. The usual small scale yielding assumptions are not needed in the analysis.

General forms of elastic-plastic matching equations for mode-Ⅲ cracks near crack line

Crack line analysis is an effective way to solve elastic-plastic crack problems. Application of the method does not need the traditional small-scale yielding conditions and can obtain sufficiently accurate solutions near the crack line. To address mode- Ⅲ crack problems under the perfect elastic-plastic condition, matching procedures of the crack line analysis method axe summarized and refined to give general forms and formulation steps of plastic field, elastic-plastic boundary, and elastic-plastic matching equations near the crack line. The research unifies mode-III crack problems under different conditions into a problem of determining four integral constants with four matching equations. An example is given to verify correctness, conciseness, and generality of the procedure.

EXACT SOLUTIONS OF NEAR CRACK LINE FIELDS FOR MODE I CRACK UNDER PLANE STRESS CONDITION IN AN ELASTIC－PERFECTLY PLASTIC SOLID

The near crack line analysis method has been used in the present paper,The classical small scale yielding conditions have been completely abandoned in the analyses and one inappropriate matching condition used to be used at the elasticplastic boundary has been corrected.The reasonable solution of the plastic stresses near the crack line region has been established.By matching the plastic stresses with the exact elastic stresses at the elastic-plastic boundary,the plastic stresses the length of the plastic zone and the unit normal vector of the elastic-plastic boundary near the crock line region have been obtained for a mode I crack under uniaxial tension,as well as a mode I crack under biaxial tension,which shows that for both conditions the plastic stress componentsσy, and σsy.he length of the plastic zone and the unit normal vector of the elastic-plastic boundary are quite the same while the plastic stress σs is different.

A SUPPLEMENTARY STUDY OF ANISOTROPIC PLASTIC FIELDS AT A RAPIDLY PROPAGATING PLANE－STRESS CRACK－TIP（I）

The results in Ref. [1] are not suitable for the cases of β≥2. For this reason, byusing the methods in Ref [1] and Ref [2], we derive the general expressions ofamsotropic plastic fields at a rapidly propagating plane-stress crack-tip for both thecases of β=2 and β>2 .

Elastoplastical analysis on cylinder of different moduli in tension and compression

The constitutive equation was deduced. The results were obtained from theelastic and elastoplastical analysis of the cylinder sample applied with different ratios ofload on both the inner and outer sides and different moduli ratio. The factors affecting thedevelopment of the plastic field of the cylinder with finite radius were shown. The resultsshow that the different moduli ratio is the most important factor in the development of theplastic zone. The slight fluctuation of the ratio will bring multiplied increment of the displacement, which may result in the final destruction of the engineering material.

Stresses and Shear Fracture Zone of Jinshazhou Tunnel Surrounding Rock in Rich Water Region

Field evidence has shown that large-scale and unstable discontinuous planes in the rock mass surrounding tunnels in rich water region are probably generated after excavation. The tunnel surrounding rock was divided into three zones, including elastic zone, plastic damage zone and shear fracture zone for assessing the stability of the tunnel surrounding rock. By local hydrogeology, the stresses of surrounding rock of Jinshazhou circular tunnel was analyzed and the stress solutions on the elastic and plastic damage zones were obtained by applying the theories of fluid-solid coupling and elasto-plastic damage mechanics. The shear fracture zone generated by joints was studied and its range was determined by using Molar-Coulomb strength criterion. Finally, the correctness of the theoretical results was validated by comparing the scopes of shear fracture zones calculated in this paper with those from literature.

掏土孔应力扰动法下的塑性区范围研究

针对普通浅层掏土法下倾斜建筑回倾速度慢、沉降不均匀的问题,提出掏土孔应力扰动法。在岩石力学的弹性圈和塑性圈应力解中引入修正系数,得到掏土孔应力扰动法下的塑性区半径计算公式。在进行现场掏土孔周应力扰动试验时,采用地锚反压的形式模拟上部建筑荷载,利用长钉在掏土孔周围进行深度为50 mm的螺旋扰动,通过测量应力扰动前后的孔周土体应力并结合有限元模拟结果,得到实际塑性区范围,验证了塑性区半径公式的正确性。结果表明:当掏土孔半径为100 mm,应力扰动范围为孔径的1/2时,塑性区范围扩大30%~40%,掏土孔应力扰动法对于扩大塑性区范围、加快建筑纠倾速度具有工程应用价值。

巷道蝶形破坏强度准则低敏感性研究及工程应用

巷道围岩的塑性区形态对巷道的破坏形式及破坏程度有重要影响。为探究三向应力场下塑性区形态演化过程,基于弹性力学推导了轴向应力表达式,并依据蝶形塑性区边界方程求解思路,确定了三维强度准则下三向塑性区近似解的求解方法。通过等球应力p、等偏应力q以及不同Lode角θσ来确定围岩应力加载方案,对不同三维强度准则下的围岩塑性区形态演化规律进行深入研究,论证了蝶形破坏的准则低敏感性。基于蝶形破坏理论对羊场湾160206回风巷道的非对称变形破坏机制及控制技术进行深入分析。研究结果表明:(1)在相同p、q及不同θσ的应力加载条件下,5种强度准则下的塑性区形态均呈现圆形、类椭圆及蝶形的演化规律,且每种强度准则在相同θσ的情况下围岩的塑性区形态基本一致。(2)相同应力大小、不同应力方向的加载方案下,围岩的塑性区形态大不相同。圆巷围岩的塑性区形态很大程度上由水平侧压比决定,轴向侧压对围岩的塑性区尺寸影响较大,对塑性区形态影响较小。(3)羊场湾160206回风巷道在叠加采动影响下顶板呈现非对称大变形破坏,基于蝶形塑性区支护思路,应用非对称锚杆索+超前单元支架+钻孔卸压的协同支护技术,取得了良好的支护效果。

三向非等压应力场下围岩主应力差与塑性区分布关系研究

首先,以弹性理论为基础推导出考虑巷道轴向应力影响的主应力差解析式,通过变化水平侧压比、轴向侧压比研究完全弹性条件时不同应力场下主应力差分布形态演化规律。其次,推导出考虑轴向应力作用的围岩塑性区近似解,研究不同应力环境下围岩的塑性区形态演化规律。最后,对比分析主应力差及塑性区形态特征,研究二者分布形态的对应关系,并通过数值模拟验证理论分析的正确性。研究结果表明:在弹性理论下,三向应力场条件的主应力差值分布会呈现圆形、椭圆形、蝶形3种形态的演化规律;在考虑巷道塑性破坏的情况下,主应力差值在σx、σz较小一侧形成峰值壳,在较大一侧形成卸压壳。在不同水平侧压比及轴向侧压比情况下,围岩塑性区形态会呈现圆形—椭圆形、椭圆形—蝶形、蝶形恶性扩展3个阶段的演化过程。巷道主应力差的分布形态在一定程度上可以反映塑性区形态,主应力差和塑性区在相同应力条件下的形态特征具有逐一对应关系,且二者形态在很大程度上由水平侧压比决定,轴向侧压比对塑性区形态影响较小。160206回风巷在偏转式主应力差集中区形成非对称异化特征。本文基于分析及现场破坏情况提出的联合协同支护技术在现场应用效果较好。

近距离煤层下行采动应力场分布规律与巷道合理位置研究

上层位近距离煤层开采后,形成的残留煤柱和采空区将会影响下层位的巷道布置。以新柳矿231101工作面为工程背景,采用理论分析和数值模拟的综合研究手段,研究和分析了上煤层开采后采动应力场的应力演化规律,对下层煤巷道非对称变形破坏机理进行深入探究,从而得出下层煤巷道合理布置位置。研究结果表明:①上覆煤层开采改变巷道所处位置的主应力大小、主应力比值以及应力偏转角、应力矢量的变化是导致巷道呈非对称破坏的主要原因。②巷道在距离煤柱中心11 m处,巷道围岩最大主应力达到14.43 MPa,主应力比值为2.74,应力偏转角为52.33°,此时巷道处于较差的应力环境中,致使围岩产生蝶形破坏且蝶叶旋转至巷道顶板右侧,巷道顶板右侧易发生冒顶事故。③为使巷道处于相对稳定区域,依据3个主要影响因素将工作区域划分为4个分区,在考虑煤矿经济与安全因素后建议最佳布置区域为H–IV,主应力偏转角在0°~38°或45°~90°的范围内,通过综合分析对该巷道布置及支护提供合理建议,为类似工程条件提供了借鉴和参考。