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By H. Netuka, J. V. Horak, A. W. Khair

"A general review of major problems concerning mathematical modelling of roof bolting problem is given. A mathematical model (MM) of interactive set Bolt - Resin - Rock and its discretization based on the Finite Element Method (FEM) is developed to calculate numerically course of displacement, stress and strain fields in this set. This new MM enables to get also course of the normal and tangential components of contact stress vector, normal displacement and then mutual tangential slip at the bolt - resin and resin - rock interfaces, respectively.Behavior of system on all interfaces is modelled in the MM as a ""unilateral contact"" governed by so called non-classical boundary condition of Signorini's type including Coulomb's law of friction between resin and rock, and ""a given friction"" law between bolt and resin (see Duvaut, Lions (1972) for mathematical formulation).Numerical example and some values of resulting stresses are shown and remarks on necessary and sufficient conditions for solvability of the problem are also given.IntroductionAs is well known roof bolting has become the primary support system in almost all underground coal mines. But the ""theoretical"" design criteria for roof bolt patterns are rather problematic because: "" ... real mechanisms by which the roof bolts reinforce the immediate roof of underground coal mine entry are still relatively unknown"", see Peng (1986).The aim of this contribution is to present brief description of fundamentals of mathematical theory (see Hlavacek et al., 1988) which could be, according to our opinion and knowledge, very helpful for numerical modelling of a such type of problems. For the sake of brevity we restrict ourselves here to just one of the simplest possible problem: analysis of the behavior of interactive set composed by only single full - length - grouted bolt, resin (or cement) and suitable part of domain of a ""immediate"" neighborhood of bolt which should represent physical action of real rock material."

Dec 1, 1995

"Acid resistant brick lined autoclaves and related vessels are utilized in pressure oxidation for the recovery of gold, copper, and other metals. The combination of the corrosion resistant membrane, acid resistant brick, mortar and steel shell is a composite system that requires a sophisticated stress analysis. In order to obtain meaningful results both the model and physical properties of the materials must be carefully selected. Evaluation of the calculated results requires an understanding of both the failure mechanisms of ceramics and experience with the performance of existing lining systems.INTRODUCTIONAcid brick lining systems are used in pressure oxidation autoclaves and related vessels to provide thermal and mechanical protection for corrosion resistant membranes that are applied directly to the interior of the vessel shell. The acid brick and mortar must be resistant to the process conditions and must provide a mechanically reliable structure.The construction of lined vessels incorporates a wide range of materials that can include the carbon steel vessel, austenitic weld overlay, lead lining, organic membrane, ceramic brick, mortars and other alloy components. The physical properties of the materials can vary by orders of magnitude and when combined in the construction of the lined vessel create a complex composite structure. The materials may be bonded together or act independently of each other. Stresses are induced into the lined vessel include pressure, thermal expansion, chemical expansion and mechanical loads.The complexity of these systems makes it is very difficult to account for all of the variables in the structural analysis of lined vessels. Historically calculations were simplified and designers primarily relied on experience with previous applications.The greatly improved tools for Finite Element Analysis (FEA) available today allow for detailed calculation of the stresses imposed on the vessel shell and lining. Koning & Lauzon (2004) presented a paper on design fundamentals including a discussion on the application of FEA methods at Pressure Hydrometallurgy 2004 in Banff. When a designer carefully constructs a model and selects the correct materials properties for the calculations, meaningful and useful results can be achieved."

Jan 1, 2012

By S. D. Zhang

The first reinforced earth railway bridge abutment in China has been successfully constructed of September, 1985 under the supervision of the Reinforced Earth Researth Group of Shanghai Institute of Railway Technology. In order to verify the reliability of the designed structure and its behaviuors, the 1:10 reduced scale model tests in laboratory and field tests on the actual structure during construction were proceeded. Various loads of different positions were charged, the vertical and lateral earth pressure in the filling soil, the stresses developed in the reinforcements, and the deformations of the models or the actual structure were recorded in those tests. The behaviors recorded are presented and discussed in this paper.

Jan 1, 2010

By Shusen Cheng, Kun Yan

A three-dimensional mathematical model of hot blast stove pipe shell has been established and used for analyzing the stress distribution and deformation. The results show that stress concentration happens along the intersection line of hot blast main and the hot blast manifold. There is no plastic deformation on the whole pipe region. The shell near the intersection elongates along the vertical direction and shortens along the horizontal direction, and deforms into an oval. The shell of hot blast main rises up, and inclines upward around the end of hot blast main. The hot blast main moves away from the hot blast and the displacement near the middle region is larger, the main deforms into an arch on horizontal surface. The deformation of shell may form a gap between shell and refractory inside and damage the security and stabilization of hot blast stove piping.

Mar 1, 2017

By Shusen Cheng, Kun Yan

An elastic-plastic stress mathematical model of hot blast stove shell has been established in order to investigate the stress distribution and deformation of the shell. The results show that stress concentration happens along the intersection line of hot blast stove body and the hot blast manifold. The plastic deformation occurs on the hot blast outlet in blast period. The deformation degree of the hot blast shell near the blast outlet in blast period is much larger than that in combustion period. In blast period, the shell near the blast outlet elongates along the horizontal direction and shortens along the vertical direction, the shell near the outlet deforms into an oval. And in combustion period, its deformation isn’t obvious. The repeated deformation of the shell near the outlet between different periods may cause the refractory brick damage and be harmful to the long campaign life of hot blast stove.

Mar 1, 2017

By Hendri Silaen, Ishak Degei, Nicoll Soumilena, Arwin Edijanto, Avesiena Primadiansyah

PT Freeport Indonesia’s Deep Mill Level Zone (DMLZ) is one of three operating cave mines at the Grasberg mine complex. The DMLZ is situated in the East Ertsberg Skarn System (EESS). It is set 500 m below the operating DOZ mine and located approximately 1,500 m below the surface, making it one of the world’s deepest panel caving operations. Initial undercutting of the DMLZ commenced in the second half of 2015 and has expanded to more than 120,000 m2. High pre-mining stresses and the changes associated with caving, combined with a strong and brittle rock mass, led to significant seismicity and rock bursting. Stress and seismic management are the main challenges for the operation and have evolved significantly from initial undercutting to the present. Considerable amounts of empirical data associated with ground response have been collected, evaluated and combined with historical lessons learned from the Intermediate Ore Zone (IOZ) and Deep Ore Zone (DOZ) mines, which are located within the EESS. This has provided an improved understanding of how the various geological, geotechnical and mine design criteria relate to one another. Additionally, the information has allowed for the development and implementation of improved strategies for stress and seismic management in the DMLZ. This paper describes how these learnings have driven changes in mine geometry, layout, and support systems. Through comprehensive monitoring and detailed inspections, positive changes have been seen in the ground response, leading to an increase in footprint reliability and accelerated cave growth. The paper summarizes the key learnings at the DMLZ regarding stress and seismic management as well as the positive improvements towards sustained and safe caving operations in the DMLZ.

Apr 26, 2022

By W. H. McCormick, H. J. Benecki

CONSIDERING that a typical modern drilling machine strikes approximately 2000 blows per min and may develop a force of 30 to 200 ft-lb, de- pending upon size of the drill used, the importance of uniform stress distribution in this type of drilling becomes obvious. If the rod were perfectly symmetrical, and if it did not rotate, the problem would be relatively simple, however, the necessary forging, machining and heat treating operations prevent attaining this state of perfection. Take the modern hollow drill rod. The blow is transmitted not from the striking end of the rod directly through to the point of impact of the bit in the rock, but rather through a somewhat complex tool. To add further problems, this entire assembly is rotated immediately after the impacting blow. Rather than attempt to discuss the magnitude and distribution of stresses, it is desired to present a few things that will minimize unusual stress concentration and produce a rod in which the stress distribution will approach the theoretical ideal.

Jan 3, 1954

By J. L. Luo, D. G. Ivey, A. H. Adeleke

Double-edge-notched flat tensile samples of X70 steel were used for both slow strain-rate testing (SSRT) and cyclic loading testing with the notch located in the zone of interest, i.e., the weld metal (WM), base metal (BM) and heat affected zone (HAZ). By using both optical and scanning electron microscopy, the stress corrosion cracking (SCC) behaviour with respect to crack morphology and various forms of microstructure was investigated. In all the samples considered, the mode of failure was predominantly transgranular with cleavage facets around the edges of the fracture surface. The BM, with a bainitic microstructure, had the highest resistance to SCC when compared with the mixed microstructures of acicular ferrite-primary ferrite and acicular ferrite-grain boundary ferrite observed in the WM and HAZ, respectively. The effect of microstructure on stress corrosion cracking behaviour is discussed based on experimental observations.

Jan 1, 2005

By G. Bylapudi, A. Bhagwat, K. Mondal, A. J. S. (Sam) Spearing

Minimizing the effects of corrosion improves the long-term performance of the rock anchors and ground control systems in underground mines, which is fundamental for safe operation over the design period. The primary objective of this study is to explain the problems due to stress corrosion cracking (SCC), strain-induced corrosion cracking (SICC) and other forms of corrosion, and why the mining industry’s ground control professionals should take this into serious consideration. It is important to clearly determine the kind of SCC mechanisms that causes roof bolt failures in order to suggest the necessary action plan to mitigate or eliminate the possibility of the cause. Pertinent literature and studies around the globe on this complicated subject are reviewed. The secondary objective is to encourage the use of corrosion-resistant ground control products in the underground mining industry in areas of high corrosion potential. Characteristics of SCC on high strength steel are also reviewed. The literature and preliminary studies to date indicate that research work is necessary in United States.

Jan 1, 2015

By D. Djokic

One of the most attractive features of electron beam curing as a process for manufacturing composite structures is the potential for attaining very low levels of residual stress as compared to thermal curing. This residual stress reduction is important both for the potential to reduce composite failure strains at low operating temperatures and the associated reduction in process-induced deformation. Previous work has demonstrated that it is possible in some cases to significantly reduce residual stress development during irradiation and also avoid development of additional residual stress during post cure. In this paper, simple L-shaped composite laminates were used to study the development of residual stress and deformation during thermal post-cure of specimens that were already partially cured using different radiation doses. Following post-cure, these specimens were also subjected to high-temperature loads to study creep behaviour under service conditions. Aerospace

Jan 1, 2006

By Zachary E. Wedding, Zach Agioutantis

Excavation of underground openings results in the redistribution of the in situ stress into the rock adjacent to the opening. Stress redistribution depends on opening geometry, pillar geometry, material properties, possible confinement, and constitutive models describing the behavior of adjacent rock. This paper presents typical pillar stress distributions for elastic and yielding pillars as a function of opening geometry, material properties, and material constitutive models and highlights the differences between them. Stress distributions are compared with empirical strength profiles that have been developed for coal pillars as well as actual pillar geometries documented for stone pillars.

Jul 1, 2023

By Robert Stefanko

Longwall mining appears very attractive from an engineering standpoint because of its simplicity. The use of one long, continuous face can simplify power distribution, ventilation, and supervision, and minimizes or prevents lost time associated with the tramming of equipment in room-and-pillar systems. Since the longwall system is more amenable to automation, it is inherently safer than room and pillar. Remote control of all face equipment from gate roads will obviate the exposure of men in the face area. Considering what has been said, it seems a paradox that more longwall installations are not found in the United States. However, with favorable mining conditions in relatively level seams of adequate height under shallow cover, it has been possible to develop highly productive, mechanized, room-and-pillar systems. Thus there has been no real incentive to employ longwall in the United States. In Europe, mining companies usually have very little choice between the two systems. Pitching seams of low height located at great depth dictate the use of longwall methods. With depletion of its readily accessible reserves, mining conditions will be similar to those now prevailing in Europe, and an increase in the use of longwall in the United States can be anticipated.

Jan 1, 1963

By Pan Gao, Songyang Yin, Zhibiao Guo, Jinglin You, Yuhui Li

Under the geological conditions of the interaction of upper goafs and lower working face in deep mining, coal seam mining causes a large stress concentration, which may lead to large deformation of the surrounding rock and rock burst risk. The research reported herein is aimed to utilize the FLAC3D software to establish a three-dimensional numerical model and analyze the law of the surrounding rock stress evolution during coal mining under complex geological conditions. The simulation results reveal that the peak abutment stress reaches its maximum value at 20–30 m in front of the working face, about 1.8–4.3 times the original rock stress, and the peak stress is larger in the stable mining stage. Along the dip of the working face, the peak stress occurs about 8–10 m away from the roadway side. The upper barrier coal pillar and the interval coal pillar in order exhibit stress concentration areas of 142 m and 88 m. According to the law of the deflection stress distribution of the surrounding rock in the presence of various widths of the coal pillar, a 10-m coal pillar between the roadway and the adjacent goaf could enhance the stability of the roadway. For the stress concentration area, drilling holes with a depth of 20–25 m are utilized to reduce the pressure, and anti-impact supports are installed in the middle of the roadway. Due to the varying stresses of the rocks around the roadway, partition prevention and control countermeasures are capable of efficiently preventing the instability of the surrounding rock.

Mar 22, 2023

By W. G. Pariseau

Reliable stress measurement using hollow inclusion gauges and monitoring stress change using borehole stress meters and borehole deformation gauges in anisotropic rock remains a challenge for the rock mechanics community. In this regard, the complex variable method advanced in 1983 for deducing stress in anisotropic rock is flawed and software is privileged. Fortunately, advances in computer hardware and software now enable fast, reliable reduction of hollow inclusion stress measurement data for determining stress in anisotropic rock. Monitoring stress change in anisotropic rock poses a different challenge but is also subject to numerical analysis. Stress measurement using a hollow inclusion (HI) gauge such as the triaxial Australian HI is done in four steps: 1) drilling a measurement hole, 2) installation of an HI, 3) stress relief of the HI by overcoring, and 4) data reduction. The last step, data reduction, is the focus of this work. The process is well-known in linearly elastic, isotropic rock (Worotniki and Walton 1976, Duncan Fama and Pender 1980). However, in case of linearly elastic, anisotropic rock the requisite technology is not readily available. This situation is somewhat surprising because anisotropy is more often the rule rather than the exception, especially in the neighborhood of ore bodies. Rahn (1984) has pointed out the potential for significant errors with neglect of anisotropy and the adverse consequences for engineering design. Amadei (1984) has also pointed out the potential for errors with neglect of anisotropic rock properties in stress measurement. Worotniki (1993) cites other studies that indicate potential for serious errors when doing measurements in anisotropic rock. In both theoretical cases (isotropy and anisotropy), data reduction is essentially a composite of solutions to boundary value problems in linear elasticity. In the finite element approach, the analysis is a simulation of gauge hole drilling, installation and overcoring. Two important advantages with the finite element approach are a more faithful representation of the conditions of HI stress measurement than approximated in theory and the capability for handling rock whether isotropic, transversely isotropic or fully anisotropic

Mar 2, 2022

By M. Cai

Transformation of the measured borehole deformations induced by stress relief relies on the traditional assumption that the rock is continuous and homogeneous. Systematic and quantitative tests were carried out to check the performance of devices commonly used for measuring borehole deformations within different types of discontinuous rock conditions. Test results provide a reliable basis for considering the influence of discontinuities on in situ stress measurement and for choosing the best measuring device for a given rock type and condition.

Jan 1, 1998

By N. Bahrani

Knowledge of the state of stress in the Earth?s crust is very important to the safe and efficient development of underground excavations in mining and civil engineering projects. A number of methods have been developed over the past 40 years to assess the stress field in the rock mass. These range from local estimates derived from compilation of regional stress databases to back-analysis of field observations to dedicated in situ measurements. The Geomechanics Research Centre (GRC) at MIRARCO has a long history of undertaking in situ stress characterization and measurement. In this paper, the stress measurement techniques used by the GRC, including overcoring and undercoring in addition to borehole breakout back-analysis, are briefly reviewed. The limitations and application of each technique for different ground conditions and the challenges involved during the field work and in interpretation of the results are discussed. A successful stress measurement campaign is not limited to acquiring valid local measurement, but must include a careful interpretation and integration of the measurement with other geological and geotechnical context information. Based on our experience, it is suggested that all available stress indicators and data are combined and integrated with the local geological and geomechanical conditions to derive a consistent stress characterization for a given site.

Aug 1, 2013

Reliable estimation of in situ stress is a major step in the analysis and design of underground excavations in rock, particularly for evaluating the stability of underground structures to prevent failure or collapse. In the last ten years, the Western Australian School of Mines (WASM) has studied and developed an AE stress measurement technique using orientated core named the WASM AE method. It allows the determination of a representative and detailed knowledge of the in situ stress field during the early stages of a project (such as mine feasibility studies), even in areas where development access is not yet available. The method has been used for in situ stress measurement at more than 80 mine sites worldwide with over 200 individual stress measurements carried out to date. This paper describes the sample collection, sample testing and reconciliation of results for very deep measurements carried out at the Craig-Onaping mine complex in Sudbury Canada. The results constitute the deepest measurements undertaken to date at the WA School of Mines and indicate that the main principal stress is horizontal and oriented parallel to a common regional sub trend in a NE/SW direction.

May 1, 2009

By M. K. Larson, J. P. Dunford, E. G. Zahl, T. M. Brady

Researchers at the Spokane Research Laboratory of the National Institute for Occupational Safety and Health, Spokane, WA, have collaborated with three Western longwall coal mines in an on going effort to develop technologies that will aid in providing safe and stable working areas. The goal of the research described here is to develop a stress monitoring system that will provide immediate information to mine managers for making daily safety decisions as areas of poor ground are mined through. Initial work has focused on answering preliminary questions regarding the reliability and use of stress change patterns. Research is concentrated on monitoring horizontal stress because horizontal stress is transmitted over long distances through stiff strata, thus allowing an extended length of entry to be monitored. This paper presents an explanation of the concept, key results from field tests at two mine sites, and a proposed process for implementing a monitoring system. System design layouts, instrument use, data collection and interpretation methods, and processes to present findings to mine staff are described. Additional validation and correlation with actual failure mechanisms are required before this approach can be recommended at ongoing operations. However, initial results indicate that this approach shows promise in mines prone to bumps and roof falls associated with large stress changes. In particular, analyses of measured changes in horizontal stresses appear useful.

By Eric Zahl

Researchers at the Spokane Research Laboratory of the National Institute for Occupational Safety and Health, Spokane, WA, have collaborated with three Western longwall coal mines in an ongoing effort to develop technologies that will aid in providing safe and stable working areas. The goal of the research described here is to develop a stress monitoring system that will provide immediate information to mine managers for making daily safety decisions as areas of poor ground are mined through. Initial work has focused on answering preliminary questions regarding the reliability and use of stress change patterns. Research is concentrated on monitoring horizontal stress because horizontal stress is transmitted over long distances through stiff strata, thus allowing an extended length of entry to be monitored. This paper presents an explanation of the concept, key results from field tests at two mine sites, and a proposed process for imple¬menting a monitoring system. System design layouts, instrument use, data collection and interpretation methods, and processes to present findings to mine staff are described. Additional validation and correlation with actual failure mechanisms are required before this approach can be recommended at ongoing operations. How¬ever, initial results indicate that this approach shows promise in mines prone to bumps and roof falls associated with large stress changes. In particular, analyses of measured changes in horizontal stresses appear useful.

Jan 1, 2002

By R. C. A. Thurston

INTRODUCTION THE deleterious effect of stress raisers or notches on the resistance to fatigue of machine components, and other parts subjected to repeated dynamic loading, has been well known for many years. Most engineers in the mechanical field have, at one time or another, encountered a shaft which fractured due to a poor transition fillet, a holding-down bolt which failed due to insufficient tightening or inferior thread form, or a fitted member which broke through a combination of fretting corrosion and clamping stresses. All of these are examples of the damaging influence exerted by stress raisers in fatigue. Other common forms of stress raiser which have taken their toll of dynamic components are: keyways, oil holes, splines, quenching oil grinding cracks, tool marks, and sharp changes in section; some are the result of the design, others of poor execution of the design. It is our experience in the Mines Branch1 and I feel sure this will be corroborated by other fatigue investigators, that the majority of failures are due to incorrect design or faulty preparation of the part concerned, rather than to the use of inferior material. Quite frequently, it is true that the operating conditions necessitate the presence of a 'notch', but even in such cases methods are generally available by which its adverse effect on the life of the component can be reduced or annulled. The purpose of this paper is to discuss a few typical stress raisers, and to provide information on various processes for mitigating their effects in fatigue.

Jan 1, 1951