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Stress concentration analysis between two neighboring circular holes under internal pressure of a non-explosive expansion material

Year 2009, Volume: 30 Issue: 3, 259 - 270, 01.04.2009

Abstract

References

  • Arshadnejad, Sh., 2007. Application of stress analysis and fracture mechanics in controlled blasting for hard rock quarry mining. Proceedings of the 1st Sympo- sium of Dimension stone, Mahallat, Iran, pp. 10-39 (in Persian).
  • Bazant, Z. P., 1982. Crack band model for frac- ture and geomaterials. Proceedings of Numerical Methods in Geomechanics, Edmonton, pp. 1137-1152.
  • Chatfield, Ch., 1983. Statistics for Technology. 3th Edition, Chapman & Hall, Bristol.
  • Chong, K. P., Harkins, J. S., Kuruppu, D. M., and Leskinen, A. I. L., 1987. Strain rate dependent mechanical properties of western oil shale. Proceedings of 28th US Symposium on Rock Mechanics, pp. 157-164.
  • Eberhardt, E., Stimpson, B., and Stead, D.,
  • The influence of mineralogy on
  • the initiation of microfractures in gra
  • nite. Proceedings of 9th International
  • Congress on Rock Mechanics, Paris. G.
  • Vouille and P. Berest (eds.), A.A. Balke
  • ma, Rotterdam, pp. 1007-1010.
  • Forcht, M. M., 1935. Factors of stress con- centration photoelastically determined.
  • Transactions of ASME, Applied Mecha- nics, A-57/A-67.
  • Fowell, R. J., 1995. Suggested method for de- termining Mode I fracture toughness using crackedchevron notched Brazi- lian disc (CCNBD) specimens, ISRM Commission on Testing Methods. In- ternational Journal of Rock Mechanics and Mining Sciences, 32(1), 57-64.
  • Gerçek, H., 1988. Interaction of parallel tunnels or roadways. Madencilik, 27(1), 39-49 (in Turkish).
  • Gerçek, H., 1996. Special elastic solutions for underground openings. Milestones in Rock Engineering – The Bieniawski Ju- bilee Collection, Balkema, Rotterdam, pp. 275- 290.
  • Gerçek, H., 2005. Interaction between parallel underground openings, Proceedings of the 19th International Mining Congress and Fair of Turkey, IMCEV2005, İzmir, Turkey, pp. 73-81.
  • Goodman, R. E., 1989. Introduction to Rock Mechanics. 2nd Edition, John Wiley & Sons, New York.
  • Goto, K., Kojima, K., and Watabe, K., 1988. The mechanism of expansive pressure and blow-out of static demolition agent. Proceedings of Conference of Demo- lition and Reuse of Concrete and Ma- sonry, Demolition Method and Practice (RILEM), Y. Kasai (ed.), Nihon Univer- sity, Japan, Vol. 1, pp. 116-125.
  • Haddon, A. W., 1967. Stresses in an infinite pla- te with two unequal circular holes. Qu- arterly Journal of Mechanics & Applied Mathematics, 20, 277-291.
  • Hayashi, H., Soeda, K., Hida, T., and Kanba- yashi, M., 1994. Non-explosive demo- lition agent in Japan. Proceedings of Conference of Demolition and Reuse of Concrete (RILEM), E. K. Lauritzen (ed.), London, pp. 231-241.
  • Hertzberg, R., W., 1996. Deformation and Frac- ture Mechanics of Engineering Materi- als. John Wiley & Jons, New York.
  • Hoek, E., and Bieniawski, Z.T., 1963. Applica- tion of the photoelastic coating techni- que to the study of the stress redistribu- tion associated with plastic flow around notches. South African Mechanical En- gineer, 12(8), 22-226.
  • Hoek, E., and Bieniawski, Z.T., 1965. Brittle rock fracture propagation in rock under compression. International Journal of Fracture Mechanics, 1(3), 137-155.
  • Hoek, E., and Brown, E. T., 1980. Underground Excavations in Rock. The Institution of Mining and Metallurgy, London.
  • Howland, R.C.J., 1929. On the stress in the ne- ighborhood of a circular hole in a strip under tension. Philosophy Transacti- on of Royal Society, London, (Series A), 229, 49-86.
  • Howland, R. C. J., 1935. Stresses in a plate containing an infinite row of holes. Phi- losophy Transaction of Royal Society, London, (Series A), 148, 471-491.
  • Howland, R. C. J., and Knight, R.C., 1939. Stress functions for a plate containing groups of circular holes. Philosophy
  • Transaction of Royal Society (Series A), 238, 357-392.
  • Ingraffea, A. R., and Schmidt, R. A., 1978. Expe- rimental verification of a fracture mec- hanics model for tensile strength pre- diction of Indiana limestone. Procee- dings of 19th US Symposium on Rock Mechanics, pp. 247-253.
  • Jana, S., 1991. Non-explosive expanding agent
  • – an aid for reducing environmental pol
  • lution in mines, Indian Mining and Engi
  • neering Journal, 1, 31-35.
  • Jeffrey, G. B., 1920. Plane stress and plane stra- in in bipolar coordinates. Transaction of Royal Society, (Series A), Vol. 221, pp. 265- 293.
  • Joussineau, Gh. D., Petit, J. P., and Gauthier, B. D. M., 2003. Photoelastic and nume- rical investigation of stress distributi- ons around fault models under biaxial compressive loading conditions. Tecto- nophysics, 363, 19-43.
  • Kirsch, G., 1898. Die theorie der elastizitat und die bedurfnisse der festigkeitslehre.
  • Veit. Ver. Deut. Ing., 42, 797-807.
  • Lajtai, E. Z., 1972. Effect of tensile stress gradi- ent on brittle fracture initiation. Interna- tional Journal of Rock Mechanics and Mining Sciences, 9, 569-578.
  • Lawn, B. R., and Wilshaw, T. R., 1975. Fracture of Brittle Solids. Cambridge University Press, Cambridge, UK.
  • Ling, Ch. B., 1948. On stresses in a plate conta- ining two circular holes. Journal of App- lied Physics, 19, 77-82.
  • Ling, Ch. B., and Tsai, Ch. P., 1969. Stresses in a thick plate containing an eccent- ric spherical inclusion or cavity, Part I.
  • Acta Mechanica, 7, 169-186.
  • Lipson, Ch., and Juvinall, R., 1963. Handbo- ok of Stress and Strength Design and Material Applications. The Macmillan Company, New York.
  • Montgomery, D. C., Runger, G. C., and Hubele, N. F., 2001. Engineering Statistics. Se- cond Edition, John Wiley & Sons, Inc.
  • Nesetova, V., and Lajtai, E. Z., 1973. Fracture from compressive stress concentrati- ons around elastic flaws. International
  • Journal of Rock Mechanics and Mining
  • Sciences, 10, 265-284.
  • Obert, L., and Duvall, W. I., 1967. Rock Mec- hanics and the Design of Structures in Rock. John Wiley & Sons, New York.
  • Orekhov, B. G., and Zertsalov, M. G., 2001. Fracture Mechanics of Engineering Structures and Rocks. A. A. Balkema, Rotterdam.
  • Pal Roy, P., 2005. Rock Blasting Effects and Operations. A. A. Balkema, Leiden, Netherlands.
  • Peterson, R. E., 1974. Stress Concentration De- sign Factors. John Wiley & Sons, Inc., New York.
  • Rocscience, Inc., 1999. Phase2 Verification ma- nual. Version 2.1.
  • Rocscience, Inc., 2001. Phase2 model program reference manual.
  • Schulz, K. J., 1942. On the state of stress in per- forated strips and plates. Proceedings of Netherlands Royal Academic Scien- ces, Vols. 45 to 48.
  • Shigley, J. E., 1956. Machine Design. McGraw- Hill, New York.
  • Timoshenko, S. P., and Goodier, J. N., 1951. Theory of elasticity. McGraw-Hill, New York.
  • Yağız, S., 2009. Assessment of brittleness using rock strength and density with punch penetration test. Tunnelling and Un- derground Space Technology, 24, 66- 74.
  • Yan, X., 2007. Rectangular tensile sheet with single edge crack or edge half-circular- hole crack. Journal of Engineering Fai- lure Analysis, 14, 1406-1410.
  • Zhongzhe, J., Hong, L., and Wen, Zh., 1988. Splitting mechanism of rock and conc- rete under expansive pressure. Procee- dings of Conference of Demolition and Reuse of Concrete and Masonry, De- molition Method and Practice (RILEM),
  • Y. Kasai (ed.), Nihon University, Japan,
  • Vol. 1, pp. 141-148.
  • Zienkiewicz, O. C., 1971. The Finite Element Method in Engineering Science. 2nd Edition, McGraw-Hill, London.
  • Zimmerman, R. W., 1988. Stress concentrati- on around a pair of circular holes in a hydrostatically stressed elastic sheet. Journal of Applied Mechanics, 55, 487- 488.
  • Zimmerman, R. W., 1991. Approximate expres- sions for stress concentrations in elas- tic solids containing multiple holes or inclusions. Recent Developments in Elasticity, Applied Mechanics Division, ASME, 124, 71-75.
Year 2009, Volume: 30 Issue: 3, 259 - 270, 01.04.2009

Abstract

References

  • Arshadnejad, Sh., 2007. Application of stress analysis and fracture mechanics in controlled blasting for hard rock quarry mining. Proceedings of the 1st Sympo- sium of Dimension stone, Mahallat, Iran, pp. 10-39 (in Persian).
  • Bazant, Z. P., 1982. Crack band model for frac- ture and geomaterials. Proceedings of Numerical Methods in Geomechanics, Edmonton, pp. 1137-1152.
  • Chatfield, Ch., 1983. Statistics for Technology. 3th Edition, Chapman & Hall, Bristol.
  • Chong, K. P., Harkins, J. S., Kuruppu, D. M., and Leskinen, A. I. L., 1987. Strain rate dependent mechanical properties of western oil shale. Proceedings of 28th US Symposium on Rock Mechanics, pp. 157-164.
  • Eberhardt, E., Stimpson, B., and Stead, D.,
  • The influence of mineralogy on
  • the initiation of microfractures in gra
  • nite. Proceedings of 9th International
  • Congress on Rock Mechanics, Paris. G.
  • Vouille and P. Berest (eds.), A.A. Balke
  • ma, Rotterdam, pp. 1007-1010.
  • Forcht, M. M., 1935. Factors of stress con- centration photoelastically determined.
  • Transactions of ASME, Applied Mecha- nics, A-57/A-67.
  • Fowell, R. J., 1995. Suggested method for de- termining Mode I fracture toughness using crackedchevron notched Brazi- lian disc (CCNBD) specimens, ISRM Commission on Testing Methods. In- ternational Journal of Rock Mechanics and Mining Sciences, 32(1), 57-64.
  • Gerçek, H., 1988. Interaction of parallel tunnels or roadways. Madencilik, 27(1), 39-49 (in Turkish).
  • Gerçek, H., 1996. Special elastic solutions for underground openings. Milestones in Rock Engineering – The Bieniawski Ju- bilee Collection, Balkema, Rotterdam, pp. 275- 290.
  • Gerçek, H., 2005. Interaction between parallel underground openings, Proceedings of the 19th International Mining Congress and Fair of Turkey, IMCEV2005, İzmir, Turkey, pp. 73-81.
  • Goodman, R. E., 1989. Introduction to Rock Mechanics. 2nd Edition, John Wiley & Sons, New York.
  • Goto, K., Kojima, K., and Watabe, K., 1988. The mechanism of expansive pressure and blow-out of static demolition agent. Proceedings of Conference of Demo- lition and Reuse of Concrete and Ma- sonry, Demolition Method and Practice (RILEM), Y. Kasai (ed.), Nihon Univer- sity, Japan, Vol. 1, pp. 116-125.
  • Haddon, A. W., 1967. Stresses in an infinite pla- te with two unequal circular holes. Qu- arterly Journal of Mechanics & Applied Mathematics, 20, 277-291.
  • Hayashi, H., Soeda, K., Hida, T., and Kanba- yashi, M., 1994. Non-explosive demo- lition agent in Japan. Proceedings of Conference of Demolition and Reuse of Concrete (RILEM), E. K. Lauritzen (ed.), London, pp. 231-241.
  • Hertzberg, R., W., 1996. Deformation and Frac- ture Mechanics of Engineering Materi- als. John Wiley & Jons, New York.
  • Hoek, E., and Bieniawski, Z.T., 1963. Applica- tion of the photoelastic coating techni- que to the study of the stress redistribu- tion associated with plastic flow around notches. South African Mechanical En- gineer, 12(8), 22-226.
  • Hoek, E., and Bieniawski, Z.T., 1965. Brittle rock fracture propagation in rock under compression. International Journal of Fracture Mechanics, 1(3), 137-155.
  • Hoek, E., and Brown, E. T., 1980. Underground Excavations in Rock. The Institution of Mining and Metallurgy, London.
  • Howland, R.C.J., 1929. On the stress in the ne- ighborhood of a circular hole in a strip under tension. Philosophy Transacti- on of Royal Society, London, (Series A), 229, 49-86.
  • Howland, R. C. J., 1935. Stresses in a plate containing an infinite row of holes. Phi- losophy Transaction of Royal Society, London, (Series A), 148, 471-491.
  • Howland, R. C. J., and Knight, R.C., 1939. Stress functions for a plate containing groups of circular holes. Philosophy
  • Transaction of Royal Society (Series A), 238, 357-392.
  • Ingraffea, A. R., and Schmidt, R. A., 1978. Expe- rimental verification of a fracture mec- hanics model for tensile strength pre- diction of Indiana limestone. Procee- dings of 19th US Symposium on Rock Mechanics, pp. 247-253.
  • Jana, S., 1991. Non-explosive expanding agent
  • – an aid for reducing environmental pol
  • lution in mines, Indian Mining and Engi
  • neering Journal, 1, 31-35.
  • Jeffrey, G. B., 1920. Plane stress and plane stra- in in bipolar coordinates. Transaction of Royal Society, (Series A), Vol. 221, pp. 265- 293.
  • Joussineau, Gh. D., Petit, J. P., and Gauthier, B. D. M., 2003. Photoelastic and nume- rical investigation of stress distributi- ons around fault models under biaxial compressive loading conditions. Tecto- nophysics, 363, 19-43.
  • Kirsch, G., 1898. Die theorie der elastizitat und die bedurfnisse der festigkeitslehre.
  • Veit. Ver. Deut. Ing., 42, 797-807.
  • Lajtai, E. Z., 1972. Effect of tensile stress gradi- ent on brittle fracture initiation. Interna- tional Journal of Rock Mechanics and Mining Sciences, 9, 569-578.
  • Lawn, B. R., and Wilshaw, T. R., 1975. Fracture of Brittle Solids. Cambridge University Press, Cambridge, UK.
  • Ling, Ch. B., 1948. On stresses in a plate conta- ining two circular holes. Journal of App- lied Physics, 19, 77-82.
  • Ling, Ch. B., and Tsai, Ch. P., 1969. Stresses in a thick plate containing an eccent- ric spherical inclusion or cavity, Part I.
  • Acta Mechanica, 7, 169-186.
  • Lipson, Ch., and Juvinall, R., 1963. Handbo- ok of Stress and Strength Design and Material Applications. The Macmillan Company, New York.
  • Montgomery, D. C., Runger, G. C., and Hubele, N. F., 2001. Engineering Statistics. Se- cond Edition, John Wiley & Sons, Inc.
  • Nesetova, V., and Lajtai, E. Z., 1973. Fracture from compressive stress concentrati- ons around elastic flaws. International
  • Journal of Rock Mechanics and Mining
  • Sciences, 10, 265-284.
  • Obert, L., and Duvall, W. I., 1967. Rock Mec- hanics and the Design of Structures in Rock. John Wiley & Sons, New York.
  • Orekhov, B. G., and Zertsalov, M. G., 2001. Fracture Mechanics of Engineering Structures and Rocks. A. A. Balkema, Rotterdam.
  • Pal Roy, P., 2005. Rock Blasting Effects and Operations. A. A. Balkema, Leiden, Netherlands.
  • Peterson, R. E., 1974. Stress Concentration De- sign Factors. John Wiley & Sons, Inc., New York.
  • Rocscience, Inc., 1999. Phase2 Verification ma- nual. Version 2.1.
  • Rocscience, Inc., 2001. Phase2 model program reference manual.
  • Schulz, K. J., 1942. On the state of stress in per- forated strips and plates. Proceedings of Netherlands Royal Academic Scien- ces, Vols. 45 to 48.
  • Shigley, J. E., 1956. Machine Design. McGraw- Hill, New York.
  • Timoshenko, S. P., and Goodier, J. N., 1951. Theory of elasticity. McGraw-Hill, New York.
  • Yağız, S., 2009. Assessment of brittleness using rock strength and density with punch penetration test. Tunnelling and Un- derground Space Technology, 24, 66- 74.
  • Yan, X., 2007. Rectangular tensile sheet with single edge crack or edge half-circular- hole crack. Journal of Engineering Fai- lure Analysis, 14, 1406-1410.
  • Zhongzhe, J., Hong, L., and Wen, Zh., 1988. Splitting mechanism of rock and conc- rete under expansive pressure. Procee- dings of Conference of Demolition and Reuse of Concrete and Masonry, De- molition Method and Practice (RILEM),
  • Y. Kasai (ed.), Nihon University, Japan,
  • Vol. 1, pp. 141-148.
  • Zienkiewicz, O. C., 1971. The Finite Element Method in Engineering Science. 2nd Edition, McGraw-Hill, London.
  • Zimmerman, R. W., 1988. Stress concentrati- on around a pair of circular holes in a hydrostatically stressed elastic sheet. Journal of Applied Mechanics, 55, 487- 488.
  • Zimmerman, R. W., 1991. Approximate expres- sions for stress concentrations in elas- tic solids containing multiple holes or inclusions. Recent Developments in Elasticity, Applied Mechanics Division, ASME, 124, 71-75.

Patlamayan-kabaran malzemenin içsel basıncı altındaki komşu dairesel iki delik arasındaki gerilme konsantrasyonunun analizi

Year 2009, Volume: 30 Issue: 3, 259 - 270, 01.04.2009

Abstract

Komşu konumlu iki dairesel delik arasındaki gerilme konsantrasyonunun tayini ve kırık davranışının tahmini için kaya ortamında gerilme analizi yapılması gereklidir. Granit gibi sert kaya ortamlarındaki komşu konumlu dairesel delikler Patlamayan-Kabaran Malzeme (PKB)’nin basıncıyla yüklendiklerinde, kayanın kırılmasına neden olan gerilme konsantrasyonları meydana gelir. Bu çalışmada, PKB’nin neden olduğu içsel basınç altındaki komşu konumlu iki dairesel delik arasındaki gerilme konsantrasyonunun araştırılması için Phase adlı bilgisayar programı kullanılarak Sonlu Elemanlar (SE) analizi yapılmış olup, bu analizlerde farklı delik çapları ve uzaklıkları, kaya özellikleri ve PKB basınçları analiz edilmiştir. Sayısal çözümlemelerden ve istatistiksel analizlerden elde edilen veri iki modelin geliştirilmesi için kullanılmıştır. Daha sonra bu modeller SE ve polinomial regresyon analizleriyle modifiye edilmişlerdir. Geliştirilen istatistiksel modeler SE analiziyle çok iyi bir uyum göstermiştir. Eşitlikler, sadece elastik durumda deliklerin merkezinden geçen hattın üzeride yer alan noktalar için geçerlidir. Bu nedenle geliştirilen modeler, PKB’den kaynaklanan basınçla içsel olarak yüklenmiş ve sert kayada kazılmış komşu konumlu dairesel delikler çeveresindeki gerilme konsantrasyonu faktörlerinin ve gerilme dağılımının belirlenmesi için güvenilirlikle kullanılabilirler

References

  • Arshadnejad, Sh., 2007. Application of stress analysis and fracture mechanics in controlled blasting for hard rock quarry mining. Proceedings of the 1st Sympo- sium of Dimension stone, Mahallat, Iran, pp. 10-39 (in Persian).
  • Bazant, Z. P., 1982. Crack band model for frac- ture and geomaterials. Proceedings of Numerical Methods in Geomechanics, Edmonton, pp. 1137-1152.
  • Chatfield, Ch., 1983. Statistics for Technology. 3th Edition, Chapman & Hall, Bristol.
  • Chong, K. P., Harkins, J. S., Kuruppu, D. M., and Leskinen, A. I. L., 1987. Strain rate dependent mechanical properties of western oil shale. Proceedings of 28th US Symposium on Rock Mechanics, pp. 157-164.
  • Eberhardt, E., Stimpson, B., and Stead, D.,
  • The influence of mineralogy on
  • the initiation of microfractures in gra
  • nite. Proceedings of 9th International
  • Congress on Rock Mechanics, Paris. G.
  • Vouille and P. Berest (eds.), A.A. Balke
  • ma, Rotterdam, pp. 1007-1010.
  • Forcht, M. M., 1935. Factors of stress con- centration photoelastically determined.
  • Transactions of ASME, Applied Mecha- nics, A-57/A-67.
  • Fowell, R. J., 1995. Suggested method for de- termining Mode I fracture toughness using crackedchevron notched Brazi- lian disc (CCNBD) specimens, ISRM Commission on Testing Methods. In- ternational Journal of Rock Mechanics and Mining Sciences, 32(1), 57-64.
  • Gerçek, H., 1988. Interaction of parallel tunnels or roadways. Madencilik, 27(1), 39-49 (in Turkish).
  • Gerçek, H., 1996. Special elastic solutions for underground openings. Milestones in Rock Engineering – The Bieniawski Ju- bilee Collection, Balkema, Rotterdam, pp. 275- 290.
  • Gerçek, H., 2005. Interaction between parallel underground openings, Proceedings of the 19th International Mining Congress and Fair of Turkey, IMCEV2005, İzmir, Turkey, pp. 73-81.
  • Goodman, R. E., 1989. Introduction to Rock Mechanics. 2nd Edition, John Wiley & Sons, New York.
  • Goto, K., Kojima, K., and Watabe, K., 1988. The mechanism of expansive pressure and blow-out of static demolition agent. Proceedings of Conference of Demo- lition and Reuse of Concrete and Ma- sonry, Demolition Method and Practice (RILEM), Y. Kasai (ed.), Nihon Univer- sity, Japan, Vol. 1, pp. 116-125.
  • Haddon, A. W., 1967. Stresses in an infinite pla- te with two unequal circular holes. Qu- arterly Journal of Mechanics & Applied Mathematics, 20, 277-291.
  • Hayashi, H., Soeda, K., Hida, T., and Kanba- yashi, M., 1994. Non-explosive demo- lition agent in Japan. Proceedings of Conference of Demolition and Reuse of Concrete (RILEM), E. K. Lauritzen (ed.), London, pp. 231-241.
  • Hertzberg, R., W., 1996. Deformation and Frac- ture Mechanics of Engineering Materi- als. John Wiley & Jons, New York.
  • Hoek, E., and Bieniawski, Z.T., 1963. Applica- tion of the photoelastic coating techni- que to the study of the stress redistribu- tion associated with plastic flow around notches. South African Mechanical En- gineer, 12(8), 22-226.
  • Hoek, E., and Bieniawski, Z.T., 1965. Brittle rock fracture propagation in rock under compression. International Journal of Fracture Mechanics, 1(3), 137-155.
  • Hoek, E., and Brown, E. T., 1980. Underground Excavations in Rock. The Institution of Mining and Metallurgy, London.
  • Howland, R.C.J., 1929. On the stress in the ne- ighborhood of a circular hole in a strip under tension. Philosophy Transacti- on of Royal Society, London, (Series A), 229, 49-86.
  • Howland, R. C. J., 1935. Stresses in a plate containing an infinite row of holes. Phi- losophy Transaction of Royal Society, London, (Series A), 148, 471-491.
  • Howland, R. C. J., and Knight, R.C., 1939. Stress functions for a plate containing groups of circular holes. Philosophy
  • Transaction of Royal Society (Series A), 238, 357-392.
  • Ingraffea, A. R., and Schmidt, R. A., 1978. Expe- rimental verification of a fracture mec- hanics model for tensile strength pre- diction of Indiana limestone. Procee- dings of 19th US Symposium on Rock Mechanics, pp. 247-253.
  • Jana, S., 1991. Non-explosive expanding agent
  • – an aid for reducing environmental pol
  • lution in mines, Indian Mining and Engi
  • neering Journal, 1, 31-35.
  • Jeffrey, G. B., 1920. Plane stress and plane stra- in in bipolar coordinates. Transaction of Royal Society, (Series A), Vol. 221, pp. 265- 293.
  • Joussineau, Gh. D., Petit, J. P., and Gauthier, B. D. M., 2003. Photoelastic and nume- rical investigation of stress distributi- ons around fault models under biaxial compressive loading conditions. Tecto- nophysics, 363, 19-43.
  • Kirsch, G., 1898. Die theorie der elastizitat und die bedurfnisse der festigkeitslehre.
  • Veit. Ver. Deut. Ing., 42, 797-807.
  • Lajtai, E. Z., 1972. Effect of tensile stress gradi- ent on brittle fracture initiation. Interna- tional Journal of Rock Mechanics and Mining Sciences, 9, 569-578.
  • Lawn, B. R., and Wilshaw, T. R., 1975. Fracture of Brittle Solids. Cambridge University Press, Cambridge, UK.
  • Ling, Ch. B., 1948. On stresses in a plate conta- ining two circular holes. Journal of App- lied Physics, 19, 77-82.
  • Ling, Ch. B., and Tsai, Ch. P., 1969. Stresses in a thick plate containing an eccent- ric spherical inclusion or cavity, Part I.
  • Acta Mechanica, 7, 169-186.
  • Lipson, Ch., and Juvinall, R., 1963. Handbo- ok of Stress and Strength Design and Material Applications. The Macmillan Company, New York.
  • Montgomery, D. C., Runger, G. C., and Hubele, N. F., 2001. Engineering Statistics. Se- cond Edition, John Wiley & Sons, Inc.
  • Nesetova, V., and Lajtai, E. Z., 1973. Fracture from compressive stress concentrati- ons around elastic flaws. International
  • Journal of Rock Mechanics and Mining
  • Sciences, 10, 265-284.
  • Obert, L., and Duvall, W. I., 1967. Rock Mec- hanics and the Design of Structures in Rock. John Wiley & Sons, New York.
  • Orekhov, B. G., and Zertsalov, M. G., 2001. Fracture Mechanics of Engineering Structures and Rocks. A. A. Balkema, Rotterdam.
  • Pal Roy, P., 2005. Rock Blasting Effects and Operations. A. A. Balkema, Leiden, Netherlands.
  • Peterson, R. E., 1974. Stress Concentration De- sign Factors. John Wiley & Sons, Inc., New York.
  • Rocscience, Inc., 1999. Phase2 Verification ma- nual. Version 2.1.
  • Rocscience, Inc., 2001. Phase2 model program reference manual.
  • Schulz, K. J., 1942. On the state of stress in per- forated strips and plates. Proceedings of Netherlands Royal Academic Scien- ces, Vols. 45 to 48.
  • Shigley, J. E., 1956. Machine Design. McGraw- Hill, New York.
  • Timoshenko, S. P., and Goodier, J. N., 1951. Theory of elasticity. McGraw-Hill, New York.
  • Yağız, S., 2009. Assessment of brittleness using rock strength and density with punch penetration test. Tunnelling and Un- derground Space Technology, 24, 66- 74.
  • Yan, X., 2007. Rectangular tensile sheet with single edge crack or edge half-circular- hole crack. Journal of Engineering Fai- lure Analysis, 14, 1406-1410.
  • Zhongzhe, J., Hong, L., and Wen, Zh., 1988. Splitting mechanism of rock and conc- rete under expansive pressure. Procee- dings of Conference of Demolition and Reuse of Concrete and Masonry, De- molition Method and Practice (RILEM),
  • Y. Kasai (ed.), Nihon University, Japan,
  • Vol. 1, pp. 141-148.
  • Zienkiewicz, O. C., 1971. The Finite Element Method in Engineering Science. 2nd Edition, McGraw-Hill, London.
  • Zimmerman, R. W., 1988. Stress concentrati- on around a pair of circular holes in a hydrostatically stressed elastic sheet. Journal of Applied Mechanics, 55, 487- 488.
  • Zimmerman, R. W., 1991. Approximate expres- sions for stress concentrations in elas- tic solids containing multiple holes or inclusions. Recent Developments in Elasticity, Applied Mechanics Division, ASME, 124, 71-75.
There are 65 citations in total.

Details

Primary Language Turkish
Journal Section Articles
Authors

Shobeir Arshadnejad This is me

Kamran Goshtasbı This is me

Jamshid Aghazadeh This is me

Publication Date April 1, 2009
Submission Date March 24, 2015
Published in Issue Year 2009 Volume: 30 Issue: 3

Cite

EndNote Arshadnejad S, Goshtasbı K, Aghazadeh J (April 1, 2009) Patlamayan-kabaran malzemenin içsel basıncı altındaki komşu dairesel iki delik arasındaki gerilme konsantrasyonunun analizi. Yerbilimleri 30 3 259–270.