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Case Study Research and Applications Design and Methods

• Robert K. Yin - COSMOS Corporation
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“The book is filled with tips to the researcher on how to master the craft of doing research overall and specifically how to account for multi-layered cases.”

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Very good introduction to Case Study design. I have used case study approach for my PhD study. I would recommend this book for an indepth understanding of case study design for research projects.

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The book is a really good introduction to case study research and is full of useful examples. I will recommend as the definitive source for students interested in pursuing this further in their projects.

In our Doctor of Ministerial Leadership (DML), Case Study is the Methodology that is required in this program. Robert Yin's book provides the foundational knowledge needed to conduct research using his Case Study design.

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Case Study Research and Applications: Design and Methods

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This site is intended to enhance your use of  Case Study Research and Applications, Sixth Edition,  by Robert K. Yin. Please note that all the resources on this site are especially geared toward maximizing your understanding of the material. 

Recognized as one of the most cited methodology books in the social sciences, the  Sixth Edition  of Robert K. Yin's bestselling text provides a complete portal to the world of case study research. With the integration of 11 applications in this edition, the book gives readers access to exemplary case studies drawn from a wide variety of academic and applied fields. Ultimately,  Case Study Research and Applications  will guide students in the successful use and application of the case study research method.

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• Corpus ID: 142892841

Case Study Research: Design and Methods

• Published 1 October 1984

52,384 Citations

Case study: a strategic research methodology, schematic representation of case study research designs., qualitative case study research as empirical inquiry, qualitative case study methodology: study design and implementation for novice researchers.

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The Seven Steps of Case Study Development: A Strategic Qualitative Research Methodology in Female Leadership Field

Designing process evaluations using case study to explore the context of complex interventions evaluated in trials, revisiting case study method of social research examining its cardinal attributes and its potential for generating authoritative knowledge, methodical failure: the use of case study method by public relations researchers, multiple case study design: the example of place marketing research, studying mathematical practices: the dilemma of case studies, related papers.

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Case Study Research: Design and Methods (Applied Social Research Methods) Fifth Edition

• ISBN-10 1452242569
• ISBN-13 978-1452242569
• Edition Fifth
• Publisher SAGE Publications, Inc
• Publication date May 10, 2013
• Language English
• Dimensions 7.25 x 0.5 x 9.25 inches
• Print length 312 pages
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About the author.

Robert K. Yin is President of COSMOS Corporation, an applied research and social science firm.  Over the years, COSMOS has successfully completed hundreds of projects for federal agencies, state and local agencies, and private foundations.

Outside of COSMOS, Dr. Yin has assisted numerous other research groups, helping to train their field teams or to design research studies. The most recent such engagements have been with The World Bank, the Division of Special Education and disAbility Research at George Mason University, the Department of Nursing Research and Quality Outcomes at the Children’s National Health System (Washington, DC), and the School of Education, Southern New Hampshire University.

Dr. Yin has authored over 100 publications, including authoring or editing 11 books (not counting the multiple editions of any given book). Earlier editions of the present book have been translated into eight languages (Chinese, Japanese, Korean, Swedish, Romanian, Italian, Polish, and Portuguese), and a second book on Qualitative Research from Start to Finish (2016) is in its 2nd edition and has been translated into four languages (Chinese, Korean, Swedish, and Portuguese).  Dr. Yin received his B.A. in history from Harvard College (magna cum laude) and his Ph.D. in brain and cognitive sciences from MIT.

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• Publisher ‏ : ‎ SAGE Publications, Inc; Fifth edition (May 10, 2013)
• Language ‏ : ‎ English
• Paperback ‏ : ‎ 312 pages
• ISBN-10 ‏ : ‎ 1452242569
• ISBN-13 ‏ : ‎ 978-1452242569
• Item Weight ‏ : ‎ 1.15 pounds
• Dimensions ‏ : ‎ 7.25 x 0.5 x 9.25 inches
• #293 in Medical Psychology Research
• #343 in Social Sciences Methodology
• #747 in Social Sciences Research

About the author

Robert k. yin.

Robert K. Yin, Ph.D., serves as Chairman of the Board and CEO of COSMOS Corporation, an applied research and social science firm that has been in operation since 1980. Over the years, COSMOS has successfully completed hundreds of projects for government agencies, private foundations, and other entrepreneurial and non-profit organizations. At COSMOS, Dr. Yin actively leads various research projects, including those in which the case study method is used. He has authored numerous books and peer-reviewed articles, including Case Study Research and Applications of Case Study Research. In 1998 he founded the “Robert K. Yin Fund” at M.I.T., which supports seminars on brain sciences, as well as other activities related to the advancement of pre-doctoral students in the Department of Brain and Cognitive Sciences.

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Article citations More >>

Yin, R.K (1984) Case Study Research: Design and Methods. Sage Publications, Beverly Hills, California.

has been cited by the following article:

Exploring the Corporate Governance in Lloyd’s and the Co-operative Bank: the Role of the Board

1 Liverpool Hope University, Liverpool Hope Business School, Hope Park, Liverpool

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• JournalTOCs

Critical Conditions of Coalburst in a Rectangular Roadway Based on the Energy Extreme Point Method

• Original Paper
• Published: 19 August 2024

Cite this article

• Yishan Pan   ORCID: orcid.org/0000-0001-8167-2965 1 , 2 , 3 ,
• Yimin Song 4 &
• Hao Luo 2  

Coalbursts are one of the most serious disasters in coal mines. Exploring the critical conditions of coalbursts from a theoretical perspective is the basis for realizing early prediction and quantitative prevention of coalburst. Based on the principle of virtual displacement and disturbance response instability theory, we proposed the energy extreme point method for identifying the instability of coal–rock systems and determined the critical conditions (the length of the critical plastic zone and critical load) for coalburst. Based on actual engineering field data, the critical values of the above two indexes were calculated for 15 coalburst mines in China. Finally, we analyzed the effects of coal bursting liability, roadway section size, roof stiffness, coal–rock interlayer property, and support measures on the length of the critical plastic zone and critical load. The results suggest that the calculated length of the critical plastic zone and critical load can be used as early indicators of coalburst. In addition, the length of the critical plastic zone can be used to calculate the elastic deformation energy, allowing the magnitude of the coalburst to be predicted. The critical load can be used to obtain the critical mining depth and safety factor to facilitate mine safety evaluation. The length of the critical plastic zone and critical load obviously decrease with increasing coal bursting liability. As the width-to-height ratio of the roadway increases, the length of the critical plastic zone decreases, while the critical load increases. Increasing roof stiffness leads to increases in both the length of the critical plastic zone and critical load. Increasing the friction coefficient between the coal and rock layers causes the critical plastic zone to decrease and the critical load to increase. Finally, support measures can obviously increase the critical load.

The energy extreme point method for identifying instability in coal-rock systems was proposed.

An analytical model of coalburst in a rectangular roadway considering the mechanical behavior of the coal-rock interface was established.

Critical conditions of 15 coalburst mines in China was calculated based on the energy extreme point method.

Influencing factors of critical conditions of coalburst were analyzed.

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Data availability

The data that support the findings of this study are available on request from the corresponding author.

Abbreviations

Uniaxial compressive strength (MPa)

Vertical stress (MPa)

Horizontal stress (MPa)

Uniaxial compressive peak strain

Horizontal strain

Vertical strain

Equivalent strain

Elastic modulus (GPa)

Softening modulus (GPa)

Roadway radius (m)

Distance from elastic-plastic zone boundary to roadway center (m)

Roof statra thickness (m)

Coal seam thickness (m)

Pressure of the overlying strata (MPa)

Support stress (MPa)

Supporting stress of coal seam (MPa)

Shear modulus of roof strata (MPa)

Roof statra deflection (m)

Internal friction angle (°)

Sliding friction coefficient between coal and rock layers

Poisson’s ratio

Surface force (MPa)

Body force (MPa)

Plastic softening zone volume (m3)

Elastic zone volume (m3)

Critical elastic deformation energy (J)

Critical plastic zone length (m)

Critical load (MPa)

Bursting energy index

Deformation energy accumulated before peak stress (J)

Deformation energy consumed after peak stress (J)

Width-to-height ratio of roadway section

Stiffness ratio of roof and coal seam

An F, Yuan Y, Chen X et al (2019) Expansion energy of coal gas for the initiation of coal and gas outbursts. Fuel 235:551–557

Article   CAS   Google Scholar  

Bieniawski Z, Denkhaus H, Vogler U (1969) Failure of fracture rock. Int J Rock Mech Min Sci 6:323–341

Article   Google Scholar  

Cook N, Hoek E, Pretorius J et al (1965) Rock mechanics applied to the study of rockbursts. J South Afr Inst Min Metall 66(10):435–528

Google Scholar  

Dai L, Pan Y, Li Z et al (2021) Quantitative mechanism of roadway rockbursts in deep extra-thick coal seams: Theory and case histories. Tunn Undergr Space Technol 111:103861

Du K, Bi R, Khandelwal M et al (2024) Occurrence mechanism and prevention technology of rockburst, coal bump and mine earthquake in deep mining. Geom Geophys Geo-Energy Geo-Res 10:98

Gong F, Pan J, Jiang Q (2021) The difference analysis of rock burst and coal burst and key mechanisms of deep engineering geological hazards. J Eng Geol 29(4):933–961

Guo Y, Jiang F, Zhang C (2011) Analytical solution for critical rockburst of a circular chamber subjected to high in-situ stress. Eng Mech 28(2):118–122

He X, Zhou C, Song D et al (2021) Mechanism and monitoring and early warning technology for rockburst in coal mines. Int J Miner Metall Mater 28:1097–1111

Jiang Y, Zhao Y, Wang H et al (2017) A review of mechanism and prevention technologies of coal bumps in China. J Rock Mech Geotech Eng 9:180–194

Keith AH, Ihsan BT (2018) Using LaModel to analyze coal bumps. Int J Min Sci Technol 28:729–737

Linkov A (1996) Rockbursts and the instability of rock masses. Int J Rock Mech Mining Sci Geomech Abstr 33(7):727–732

Lippmann H (1987) Mechanics of “bumps” in coal mines: a discussion of violent deformation in the sides of rockways in coal seams. Appl Mech Rev 40(8):1033–1043

Litwiniszyn (1984) Phenomenon of rock bursts and resulting shock waves. Int J Rock Mech Mining Sci Geomech Abst 22(3):80

Manouchehrian A, Cai M (2016) Influence of material heterogeneity on failure intensity in unstable rock failure. Comput Geotech 71:237–246

Manouchehrian A, Cai M (2018) Numerical modeling of rockburst near fault zones in deep tunnels. Tunn Undergr Space Technol 80:164–180

Meng Q, Han L, Qiao W et al (2014) Support technology for mine roadways in extreme weakly cemented strata and its application. Int J Min Sci Technol 24(2):157–164

Mottahedi A, Ataei M (2019) Fuzzy fault tree analysis for coalburst occurrence probability in underground coal mining. Tunn Undergr Space Technol 83:165–174

Mroz Z, Nawrocki P (1989) Deformation and stability of an elastoplastic softening pillar. Rock Mech Rock Eng 22:69–108

Pan Y, Zhang M (1996) The exact solution for rockburst in coal mine by unstability rockburst theory. Chin J Rock Mech Eng 15(S0):504–510

Pan Y, Xiao Y, Luo H et al (2023) Study on safety of rockburst mine. J China Coal Soc 48(5):1846–1860

Pan Y, Song Y, Luo L et al (2024) Coalbursts in China: theory, practice and management. J Rock Mech Geotech Eng 16:1–25

Pietruszczak S, Mroz Z (1980) Numerical analysis of elastic-plastic compression of pillars accounting for material hardening and softening. Int J Rock Mech Mining Sci Geomech Abst 17(4):199–207

Pietruszczak S, Mroz Z (1981) Finite element analysis of deformation of strain-softening materials. Int J Numer Meth Eng 17(3):327–334

Qian Q (2014) Definition, mechanism, classification and quantitative forecast model for rockburst and pressure bump. Rock and Soil Mech 35(01):1–6

Salamon M, Wagner H (1979) Role of stabilizing pillars in the alleviation of rock burst hazard in deep mines. ISRM Congress 2:561–566

Sharan S (2008) Analytical solutions for stresses and displacements around a circular opening in a generalized Hoek-Brown rock. Int J Rock Mech Min Sci 45(1):78–85

Skrzypkowski K, Korzeniowski W, Zagorski K et al (2020) Adjustment of theyielding system of mechanical rock bolts for room and pillar mining method instratified rock mass. Energies 13:2082

Song Y, Ren H, Xu H et al (2023) Experimental study on deformation and damage evolution of a mining roadway with weak layer rock under compression-shear load. Arch Min Sci 66(3):351–368

Vardoulakis I (1984) Rock bursting as a surface instability phenomenon. Int J Rock Mech Mining Sci Geomech Abst 21(3):137–144

Wang C, Wang Y, Lu S (2000) Deformational behaviour of roadways in soft rocks in underground coal mines and principles for stability control. Int J Rock Mech Min Sci 37(6):937–946

Yang H, Zeng Y, Lan Y et al (2014) Analysis of the excavation damaged zone around a tunnel accounting for geostress and unloading. Int J Rock Mech Min Sci 69:59–66

Yin W, Pan Y, Li Z (2018a) Critical condition of rock burst in the circular tunnel based on the strength parameters of the degradation in the plastic zone. J China Coal Soc 43:348–355

Yin W, Pan Y, Li Z (2018b) Mechanism of rock burst in rectangular section roadway. Chin J Geotechn Eng 40:1135–1142

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Acknowledgements

The authors are pleased to acknowledge the support of this work by the National Natural Science Foundation of China-Liaoning Joint Fund Key Project (No. U1908222) and the National Natural Science Foundation of China (No. 51774015).

This study is funded by the National Natural Science Foundation of China-Liaoning Joint Fund Key Project (No. U1908222) and the National Natural Science Foundation of China (No. 51774015).

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Key Laboratory of Ministry of Education On Safe Mining of Deep Metal Mines, Northeastern University, Shenyang, 110819, People’s Republic of China

He Ren & Yishan Pan

Liaoning University, Shenyang, 110036, People’s Republic of China

Yishan Pan & Hao Luo

School of Mechanics and Engineering, Liaoning Technical University, Fuxin, 123000, People’s Republic of China

School of Civil Engineering, North China University of Technology, Beijing, 100144, People’s Republic of China

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Correspondence to Yishan Pan or Hao Luo .

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Ren, H., Pan, Y., Song, Y. et al. Critical Conditions of Coalburst in a Rectangular Roadway Based on the Energy Extreme Point Method. Rock Mech Rock Eng (2024). https://doi.org/10.1007/s00603-024-04067-2

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Received : 31 January 2024

Accepted : 02 July 2024

Published : 19 August 2024

DOI : https://doi.org/10.1007/s00603-024-04067-2

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