Skip to main content

Part of the book series: Mechanics of Fracture ((MEFA,volume 7))

Abstract

Stress is defined as a limiting process. It takes place at a mathematical point. It is a tensor. One of the components of the stress may have the same value at two neighboring points. In that case these points belong to the same contour or locus (for instance, all points on the same isochromatic line have the same value of maximum shear stress, all points on the same isobar have the same value of normal stress). In general, stress components change from point-to-point.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Roark, R. J. and Young, W. C., Formulas for Stress and Strain, Fifth edition, McGraw–Hill (1975). The first edition was published in 1938.

    Google Scholar 

  2. A first version: Peterson, R. E.: ‘Stress Concentration Design Factors’ was published by Wiley in 1953.

    Google Scholar 

  3. Griffel, W., Handbook of Formulas for Stress and Strain, Frederick Ungar Publishing Co., pp. 418 (1966).

    Google Scholar 

  4. Tetelman, A. S. and McEvily, A. J., Fracture of Structural Materials, Wiley (1967).

    Google Scholar 

  5. The first edition: Savin, G. N., Concentration of Stress Around Holes was published in 1951 by the State Publishing House of Technical Theoretical Literature. Trans. Pergamon Press (1961).

    Google Scholar 

  6. Durelli, A. J., Phillips, E. and Tsao, C., Introduction to the Theoretical and Experimental Analysis of Stress and Strain, McGraw–Hill (1958).

    MATH  Google Scholar 

  7. Durelli, A. J., Applied Stress Analysis, Prentice–Hall (1967).

    Google Scholar 

  8. Durelli, A. J., The Difficult Choice, Feature Article in Applied Mechanics Reviews, pp. 1167 – 1178 (Sept. 1977).

    Google Scholar 

  9. Collatz, L., The Numerical Treatment of Differential Equations, 3rd. Ed. Trans, by P. G. Williams, Springer–Verlag, N. Y. (1966).

    Google Scholar 

  10. Hulbert,L. E., The Numerical Solution of Two–Dimensional Problems of the Theory of Elasticity, Ph.D. Dissertation, Ohio State University (1963).

    Google Scholar 

  11. Muskhelishvili, N. T., Some Basic Problems of the Mathematical Theory of Elasticity, Translated by J. R. M. Radok, P. Noordhoff Ltd., Groningen, The Netherlands (1963).

    MATH  Google Scholar 

  12. Wilson, H. B. Jr., Mathematical Determination of Stresses and Displacements in Star–perforated Grains, AIAA Journal 2, pp. 1247 – 1253 (July 1964).

    Article  MATH  Google Scholar 

  13. Wilson, H. B., Jr. and Becker, E. B., An Effective Numerical Method for Conformal Mapping of Simply Connected Regions, Developments in Mechanics, Vol. 3, Part I: Solid Mech. and Mat., John Wiley and Sons, Inc., pp. 403 – 414 (1967).

    Google Scholar 

  14. Richardson, M. K. and Wilson, H. B., Jr., A Numerical Method for the Conformal Mapping of Finite Doubly Connected Regions, Developments on Theoretical and Applied Mechanics, Vol. 3, pp. 305–321, edited by W. A. Shaw, Pergamon Press (1967).

    Google Scholar 

  15. Laura, P. A., Conformal Mapping of a Class of Doubly Connected Regions, Ph.D. Dissertation, The Catholic University of America (1965).

    Google Scholar 

  16. Rao, A. K., Review of Continuum, Finite Element and Hybrid Techniques in the Analysis of Stress Concentration in Structures, Nuclear Engineering and Design, Vol. 31, pp. 427 – 433 (1974).

    Article  Google Scholar 

  17. Dunham, R. S. and Becker, E. B., TEXGAP the Texas Grain Analysis Program. TICOM Report 73–1, The University of Texas at Austin (Aug. 1973).

    Google Scholar 

  18. Bushnell, D., Difference Models Versus Finite–elements Models, Numerical and Computer Methods in Structural Mechanics, Academic Press, New York, pp. 291 – 336 (1973).

    Google Scholar 

  19. Key, S. and Krieg, R., Comparison of Finite–element and Finite–difference Methods, Numerical and Computer Methods in Structural Mechanics, Academic Press, New York, pp. 337 – 352 (1973).

    Google Scholar 

  20. Perrone, N. and Kao, R., A General Finite Difference Method for Arbitrary Meshes, International Journal of Computers and Structures, 5, pp. 45 – 57 (April 1975).

    Article  MathSciNet  Google Scholar 

  21. Zienkiewicz, O. C., in volume The Mathematics of Finite–elements and Applications, edited by J. R. Whiteman. Proceedings of Brunei University Conference, April 1972, Academic Press (1973).

    Google Scholar 

  22. Oden, J. T., Finite–element Applications in Nonlinear Structural Analysis, in Proceedings of ASCE Symposium on Application of Finite Element Methods in Civil Engineering, Nashville (1969) ed. by W. H. Rowan, Jr. and R. M. Hackett, Vanderbilt Univ. (1969).

    Google Scholar 

  23. Durelli, A. J., Parks, V. J. and Feng, H., Evaluation of Grid Data to Determine Displacements and Strains, Journal of Strain Analysis, Vol. 2, No. 3, pp. 181 – 187 (July 1967).

    Article  Google Scholar 

  24. Fischer, G., Versuche ueber die Wirkung von Kerben an elastische beanspruchten Biegestaeben, Dissertation Aachen (1932), V. D. I. Verlag, Duesseldorf (1932).

    Google Scholar 

  25. Durelli, A. J., Phillips, E. and Tsao, C., Introduction to the Theoretical and Experimental Analysis of Stress and Strain, McGraw–Hill (1958).

    MATH  Google Scholar 

  26. Parks, V. J. and Durelli, A. J., Moiré Patterns of Partial Derivatives of Displacement Components, Journal of Applied Mechanics, Vol. 33, pp. 901 – 906 (1966).

    Google Scholar 

  27. Erf, R. K. (ed.) Holographic Non–destructive Testing, Academic Press, (1974).

    Google Scholar 

  28. Erf, R. K. (ed.) Speckle Metrology, Academic Press (1978).

    Google Scholar 

  29. Bickle, L. W., The response of Strain Gages to Longitudinally Sweeping Strain Pulses, Experimental Mechanics, Vol. 10, No. 8, pp. 333 – 337 (August 1970).

    Article  Google Scholar 

  30. Kirsch, G., Ueber einige Eigenschaften des ebenen Problems der Elastizitaetstheorie, Zeit. des Ver. Deutscher Ing. Vol. 42, pp. 787 – 807 (1890).

    Google Scholar 

  31. Inglis, C. E., Stresses in a Plate Due to the Presence of Cracks and Sharp Corners, Trans. Inst. Naval Arch. London, England, 1913; Engineering, Vol. 95, p. 415 (1913).

    Google Scholar 

  32. Durelli, A. J., Phillips, E. A. and Tsao, C. H., Introduction to the Theoretical and Experimental Analysis of Stress and Strain, McGraw–Hill (1958).

    Google Scholar 

  33. Kosolov, G. V., On One Application of the Theory of Complex Variable Functions to Plane Problems of the Mathematical Theory of Elasticity, Yurger (1909).

    Google Scholar 

  34. Isida, M., On the Tension of a Semi–infinite Plate with an Elliptic Hole, Science Papers of Faculty of Engineering, Tokushima University, Vol. 5, No. 1 (Feb. 1955).

    Google Scholar 

  35. Durelli, A. J., Parks, V. J. and Feng, H. C., Stresses Around an Elliptical Hole in a Finite–Plate Subjected to Axial Loading, Journal of Applied Mechanics, pp. 192 – 195 (March 1966).

    Google Scholar 

  36. Coker, E. G. and Filon, L. N. G., A Treatise on Photo–elasticity, Cambridge University Press (1931).

    Google Scholar 

  37. Lehr, E., Spannungsverteilung in Konstruktionselementen. Auswertung der bisheringen Forschungsergebnisse fur die praktische Anwendung. VDI–Verlag, Berlin (1934).

    Google Scholar 

  38. Neuber, H., Theory of Notch Stresses: Principles for Exact Stress Calculation. Transl. of Kerbspannungslehre: Grundlagen fuer genaue Spannungsrechnung, Springer, Berlin (1937), by David Taylor Model Basin, Washington, D. C. Nov. 1945.

    Google Scholar 

  39. Roark, R. J. and Young, W. C., Formulas for Stress and Strain: Fifth ed., McGraw– Hill (1975). The first edition was published in 1938.

    Google Scholar 

  40. Lipson, C., Noll, G. and Clock, L., Stress and Strength of Manufactured Parts, McGraw–Hill, (1950).

    Google Scholar 

  41. A first version: Savin, G. N., Concentration of Stress Around Holes, was published in 1951 by the State Publishing House of Technical Theoretical Literature. Trans. Pergamon Press (1961).

    Google Scholar 

  42. Foeppl, L. and Sonntag, G.: Tafeln und Tabellen zur Festigkeitslehre. R. Oldenburg, Muenchen (1951).

    Google Scholar 

  43. Peterson, R. E., Stress Concentration Factors: John Wiley and Sons, New York, pp. 316 (1974). A first version: Peterson, R. E.: Stress Concentration Design Factors was also published by Wiley in 1953.

    Google Scholar 

  44. Griffel, W., Handbook of Formulas for Stress and Strain, Frederick Ungar Publishing Co., p. 418 (1966).

    Google Scholar 

  45. Nisitani, H.: Solutions of Notch Problems by Body Force Method. Mechanics of Frafcture, ed. by G. C. Sih, Noordhoff Intern. Publish. Alphen aan den Rijn., Vol. 5, pp. 1 – 68.

    Google Scholar 

  46. Heywood, R. B., Photoelasticity for Designers, Pergamon Press (1969).

    Google Scholar 

  47. Hogan, M. B., A Survey of the Literature Pertaining to Stress Distribution in the Vicinity of a Hole and the Design of Pressure Vessels. Bull. No. 48, Utah Engineering Experimental Station, Vol. 41, No. 2 (Aug. 1950).

    Google Scholar 

  48. Neuber, H. and Hahn, H. G., Stress Concentration in Scientific Research and Engineering, Applied Mechanics Reviews, Vol. 19, No. 3 (March 1966).

    Google Scholar 

  49. Sternberg, E., Three–dimensional Stress Concentrations in the Theory of Elasticity, Applied Mechanics Reviews, Vol. 11, pp. 1 – 4 (Jan. 1958).

    Google Scholar 

  50. Durelli, A. J., The Difficult Choice, Applied Mechanics Reviews, Vol. 30, No. 9, pp. 1167 – 1178 (Sept. 1977).

    Google Scholar 

  51. Neuber, H., Theory of Notch Stresses: Principles of Exact Calculation of Strength with Reference to Structural Form and Material. Transl. of Kerbspannungslehre: Grundlage für genaue Festigkeit Berechnung mit Beruecksichtigung von Konstruktion’s form und Werkstoff. Springer, Berlin (1958) by U.S. Atomic Energy Comm. AEC–tr–4547, Chap. X, ( June 1961 ).

    Google Scholar 

  52. Durelli, A. J., Parks, V. J. and Lopardo, V. J., Stresses and Finite Strains Around an Elliptic Hole in Finite Plates Subjected to Uniform Load, International Journal of Non–Linear Mechanics, Vol. 5, pp. 397 – 411 (1970).

    Article  ADS  Google Scholar 

  53. Durelli, A. J., Parks, V. J., Lopardo, V. J. and Chen, T. L., Normalized Stresses Around an Elliptic Hole in a Finite Plate of Linear Material Subjected to Large Uniform In–plane Loading, Experimental Mechanics, Vol. 13, No. 10 pp. 441 – 444 (Oct. 1973).

    Article  Google Scholar 

  54. Chen, T. L. and Durelli, A. J., Stress Field in a Sphere Subjected to Large Deformations, International Journal of Solids and Structures, Vol. 9, pp. 1035 – 1052 (1973).

    Article  Google Scholar 

  55. Chen, T. L. and Durelli, A. J., Displacements and Finite–Strain Fields in a Hollow Sphere Subjected to Large Elastic Deformations, International Journal of Mechanical Science, Vol. 16, pp. 777 – 788 (1974).

    Article  Google Scholar 

  56. Durelli, A. J. and Mulzet, A. P., Large Strain Analysis and Stresses in Linear Materials, Journal of Engineering Mechanical Division, Proc. ASCE., June 1965, pp. 65 – 91.

    Google Scholar 

  57. Durelli, A. J., Parks, V. J. and Feng, H., Experimental Methods of Large Strain Analysis, International Journal of Non–Linear Mechanics, Vol. 2, pp. 387 – 404 (1967).

    Article  ADS  Google Scholar 

  58. Durelli, A. J., Parks, V. J. and Chen, T. L., Stress and Finite–Strain Analysis of a Circular Ring Under Diametral Compression, Experimental Mechanics, pp. 210 – 214 (May 1969).

    Google Scholar 

  59. Durelli, A. J., Parks, V. J. and Bühler Vidal, J. O., Linear and Non–Linear Elastic and Plastic Strains in a Plate with a Large Hole Loaded Axially in its Plane. International Journal of Non–Linear Mechanics, Vol. 11, pp. 207 – 211 (1976).

    Article  ADS  Google Scholar 

  60. Durelli, A. J. and Parks, V. J., Photoelastic Stress Analysis in the Bonded Interface of a Strip with Different End Configurations, American Ceramic Society Bulletin, Vol. 46, No. 6, pp. 586 (June 1967).

    Google Scholar 

  61. Durelli, A. J., Parks, V. J. and Bhadra, P., Experimental Determination of Stresses and Strains in a Rectangular Plate Subjected to Biaxial Restrained Shrinkage, British Journal of Applied Physics, Vol. 17, pp. 917 – 926 (1966).

    Article  ADS  Google Scholar 

  62. Parks, V. J. and Durelli, A. J., Stress Distribution at Variously Shaped Corners in Plates, Bonded on Two Long Edges, and Subjected to Restrained Shrinkage, Mech. Behavior Working Group, Interagency Chemical Rocket Propulsion Group, CPIA Bulletin, No. 119, Vol. 1, pp. 365 – 392 (Nov. 1966).

    Google Scholar 

  63. Durelli, A. J., Parks, V. J., and del Rio, C. J., Stresses in Square Slabs with Different Edge Geometries, when Bonded on One Face to a Rigid Plate and Shrunk, Experimental Mechanics, Vol. 7, No. 11, pp. 481 – 484 (Nov. 1967).

    Article  Google Scholar 

  64. Duffy, J., The Elastic Wedge under Mixed Boundary Conditions, Technical Report, No. 1, Div. Engng., Brown Univ., DA–G4–1–April (1961).

    Google Scholar 

  65. Theocaris, P. S. and Dafermos, K., The Elastic Strip Under Mixed Boundary Conditions, Applied Mechanics, 31, (Trans. Amer. Soc. Mech. Engrs., 86, pp. 714–716) (Dec. 1964).

    Google Scholar 

  66. Aleck, B. J., Thermal Stresses in a Rectangular Plate Clamped Along an Edge, Journal of Applied Mechanics, 16, pp. 118 – 22 (1949).

    MathSciNet  MATH  Google Scholar 

  67. Parks, V. J., Durelli, A. J. and Chen, T. L., Stresses in a Restrained Shrinking Disk with a Central Slot, AIAA Journal, Vol. 6, No. 6, pp. 1181 – 1182 (June 1968).

    Article  ADS  Google Scholar 

  68. Durelli, A. J., Parks, V. J. and Lee, Han–Chow, Stress Concentrations Around Elliptical Perforations in Shrunk Plates with Bonded Boundaries, Journal of Spacecraft and Rockets, Vol. 5, No. 2, pp. 1499 – 1501 (Dec. 1968).

    Article  ADS  Google Scholar 

  69. Durelli, A. J. and Tsao, C. J., Determination of Thermal Stresses in Three–Ply Laminates., Journal of Applied Mechanics, Vol. 22, No. 2, pp. 190 – 193 (June 1955).

    Google Scholar 

  70. Parks, V. J., Chiang Fu–pen and Durelli, A. J., Maximum Stress at the Angular Corners of Long Strips Bonded on One Side and Shrunk. Experimental Mechanics, pp. 278 – 281 (June 1968).

    Google Scholar 

  71. Durelli, A. J., Parks, V. J. and Chen, T. L., Stress Concentrations in a Rectangular Plate with Circular Perforations Along its Two Bonded Edges and Subjected to Restrained Shrinkage, Strain, Vol. 5, No. 1, pp. 1 – 4 (Jan. 1969).

    Article  Google Scholar 

  72. Hofer, K. E. and Durelli, A. J., Stress Distribution at the Fillet of an Internal Flange, Journal of Applied Mechanics, Vol. 28, E, No. 4. pp. 618 – 623 (Dec. 1961).

    Google Scholar 

  73. Durelli, A. J. and Parks, V. J., Stresses in Pressurized Circular Shells with Discontinuities, with or without Stiffeners, Journal of Ship Research, Vol. 16, No. 2, pp. 140 – 147 (1972).

    Google Scholar 

  74. Durelli, A. J., del Rio, C. J., Parks, V. J. and Feng, H., Stresses in a Pressurized Cylinder with a Hole, Journal of Structure Division Proceedings ASCE, Vol. 93, paper No. 5524, pp. 383 – 399 (Oct. 1967).

    Google Scholar 

  75. Durelli, A. J., Parks, V. J. and Lee, H. C., Stresses in a Perforated Ribbed Cylindrical Shell Subjected to Internal Pressure, International Journal of Solids and Structures, Vol. 5, No. 6, pp. 573 – 586 (June 1969).

    Article  Google Scholar 

  76. Durelli, A. J., Parks, V. J. and Lee, H. C., Stresses in a Pressurized Cylindrical Shell with Two Unequal Diametrically Opposite Reinforced Circular Holes, Acta Mechanica, Vol. X, No. 3–4, pp. 161 – 179 (1970).

    Article  Google Scholar 

  77. Durelli, A. J., Parks, V. J. and Lee, H. C., Stresses in a Pressurized Ribbed Cylindrical Shell with a Reinforced Hole, Report to Naval Ship Research and Development Center, (Feb. 1969).

    Google Scholar 

  78. Durelli, A. J. et al. Stresses in a Pressurized Ribbed Cylindrical Shell with a Reinforced Circular Hole Interrupting a Rib, Trans. ASME, Journal of Engineering for Industry, Series B, Vol. 93, No. 4, pp. 897 – 904 (Nov. 1971).

    Google Scholar 

  79. Durelli, A. J. and Barriage, J. B., Stress Distribution in Square Plates with Hydro–statically Loaded Central Circular Holes, Journal of Applied Mechanics, Trans. ASME, Vol. 77, pp. 539 – 544 (1955).

    Google Scholar 

  80. Durelli, A. J. and Riley, W. R., Stress Distribution in Strips with Hydrostatically Loaded Central Circular Holes, Proc. Mid–Western Conf. on Solid Mechanics, pp. 81 – 93 (Oct. 1955).

    Google Scholar 

  81. Durelli, A. J. and Kobayashi, A. S., Stress Distributions Around Hydrostatically Loaded Circular Holes in the Neighborhood of Corners, Journal of Applied Mechanics, Vol. 26, No. 1, pp. 150 – 152 (March 1959).

    Google Scholar 

  82. Riley, W. F., Durelli, A. J. and Theocaris, P. S., Further Stress Studies on a Square Plate with a Pressurized Central Circular Hole., Proc. 4th Annual Conf. on Solid Mech., Univ. of Texas, Austin, Texas, Sept. 1959, pp. 91 – 107.

    Google Scholar 

  83. Parks, V. J., Durelli, A. J., Chandrashekhara, K. and Chen, T. L., Stress Distribution Around a Circular Bar, with Flat and Spherical Ends, Embedded in a Matrix in a Triaxial Stress Field, Journal of Applied Mechanics, pp. 578 – 586 (Sept. 1970).

    Google Scholar 

  84. Riley, W. F. and Durelli, A. J., Boundary Stresses at the Ends of Pressurized Cylindrical Holes Axially Located in a Large Cylinder, Proceedings SESA, Vol. XVII, No. 1, pp. 115 – 126 (Dec. 1959).

    Google Scholar 

  85. Durelli, A. J., Parks, V. J. and Del Riò, C. J., Stresses, Strains and Displacements Associated with the Restrained Shrinkage of Cylinders with Torodial Cavities. Recent Advancements in Engineering Science Ed. A. C. Eringen, Vol. 3, pp. 521–540. Gordon and Breach., Sc. Publishers, NY (1968).

    Google Scholar 

  86. Durelli, A. J., Parks, V. J. Feng, H. C. and Chiang, F., Strains and Stresses in Matrices with Inserts. Mechanics of Composite Materials. Proc. 5th Symposium on Naval Structural Mechanics, Ed. by Wendt, Liebowitz and Perrone, Pergamon, 1970, pp. 188 – 335.

    Google Scholar 

  87. Durelli, A. J., Pavlin, V., Bühler Vidal, J. O. and Ome, G., Elastostatics of a Cubic Box Subjected To Concentrated Loads. Strain, Vol. 13, No. 1, pp. 7 – 12 (Jan. 1977).

    Article  Google Scholar 

  88. Durelli, A. J., Pavlin, V. and Bühler Vidal, J. O., Elastostatics of Cubic Boxes Subjected to Pressure. Journal of Pressure Vessel Techniques, Vol. 99, pp. 568 – 574 (Nov. 1977).

    Article  Google Scholar 

  89. Nishimura G. and Jimbo, Y. A Dynamical Problem of Stress Concentration, Journal of the Faculty of Engineering, University of Tokyo, Japan, Vol. 24, p. 101 (1955).

    Google Scholar 

  90. Baron, M. L. and Matthews, A. T. Diffraction of a Pressure Wave by a Cylindrical Cavity in an Elastic Medium, Journal of Applied Mechanics, Series E, Vol. 28, No. 3, pp. 347 – 354 (1961).

    MathSciNet  MATH  Google Scholar 

  91. Pao, Y. H. Dynamical Stress Concentration in an Elastic Plate, Journal of Applied Mechanics, Series E, Vol. 29, No. 2, pp. 299 – 305 (1962).

    MATH  Google Scholar 

  92. Mow, C. C. Transient Response of a Rigid Spherical Inclusion in an Elastic Medium, Journal of Applied Mechanics, Vol. 32, No. 3, pp. 637 – 000 (September 1965).

    Google Scholar 

  93. Mow, C. C. and Pao, Y. H! The Diffraction of Elastic Waves and Dynamic Stress Concentrations, RAND Corporation, Report No. R–482–PR, (April 1971).

    Google Scholar 

  94. Wells, A. A. and Post, D. The Dynamic Stress Distribution Surrounding a Running Crack—A Photoelastic Analysis, Proceedings of SESA, Vol. 16, No. 1, pp. 69 – 92 (1957).

    Google Scholar 

  95. Durelli, A. J. and Dally, J. W. Stress Concentration Factors Under Dynamic Loading Conditions, Journal of Mechanical Engineering Science, Vol. 1, No. 1, pp. 1 – 5 (June 1959).

    Article  Google Scholar 

  96. Dally, J. W. and Halbleib, W. F. Dynamic Stress Concentrations at Circular Holes in Struts, Journal of Mechanical Engineering Science, Vol. 7, No. 1, pp. 23 – 27 (March 1965).

    Article  Google Scholar 

  97. Durelli, A. J. and Riley, W. F. Stress Distribution on the Boundary of a Circular Hole in a Large Plate During Passage of a Stress Pulse of Long Duration, Journal of Applied Mechanics, Series E, Vol. 28, No. 2, pp. 245 – 251 (1961).

    Google Scholar 

  98. Riley, W. F. and Durelli, A. J. Stress Distribution on the Boundary of an Elliptical Hole in a Large Plate During Passage of a Stress Pulse of Long Duration (Major Axis Tangent to the Wave Front) International Journal of Mechanical Sciences, Vol. 2, No. 4, pp. 213 – 223 (1961).

    Article  Google Scholar 

  99. Durelli, A. J. and Riley, W. F. Stress Distribution on the Boundary of an Elliptical Hole in a Large Plate During Passage of a Stress Pulse of Long Duration (Major Axis Normal to the Wave Front) Journal of Applied Physics, Vol. 32, No. 7, pp. 1255 – 1260 (July 1961).

    Article  ADS  Google Scholar 

  100. Durelli, A. J. Riley, W. F. and Carey, J. J. Stress Distribution on the Boundary of a Square Hole in a Large Plate During Passage of a Stress Pulse of Long Duration, Proceedings of the International Symposium on Photoelasticity, Pergamon Press, N.Y., 1963, pp. 251 – 263.

    Google Scholar 

  101. Riley, W. F. and Durelli, A. J. Stress Distribution on the Boundary of a Circular Hole in a Large Plate During Passage of a Stress Pulse of Short Duration, Journal of Mechanical Engineering Sciences, Vol. 3, pp. 62 – 68 (1961).

    Article  Google Scholar 

  102. Durelli, A. J. and Daniel, I. M. Stress Distribution Around a Circular Hole in a Semi–Infinite Plate under Impact at Different Points on the Edge, Developments in Mechanics, Vol. 1, Plenum Press, N.Y., pp. 268 – 285 (1961).

    Google Scholar 

  103. Daniel, I. M. and Riley, W. F. Stress Distribution on the Boundary of a Circular Hole in a Large Plate Due to an Air Shock Wave Traveling Along an Edge of the Plate, Journal of Applied Mechanics, Series E, Vol. 31, No. 3, pp. 402 – 408 (1964).

    Google Scholar 

  104. Riley, W. F. Photoelastic Study of the Interaction Between a Plane Stress Wave and a Rigid Circular Inclusion, Journal of Mechanical Engineering Science, Vol. 6, No. 4, pp. 311 – 317 (1964).

    Article  Google Scholar 

  105. Fang,S.J. Hemann, J. H. and Achenbach, J. D. Experimental and Analytical Investigation of Dynamic Stress Concentrations at a Circular Hole, Journal of Applied Mechanics, Series E, Vol. 41, No. 2, pp. 417 – 422 (1974).

    Article  ADS  Google Scholar 

  106. Shea, R. Dynamic Stress–concentration Factors, Experimental Mechanics, Vol. 4, No. 1, pp. 20 – 24 (1964).

    Article  Google Scholar 

  107. Gurney, C., The Effective Stress Concentration at the End of a Crack Having Regard to the Atomic Constitution of Materials. Aero. Research Council. Report No. 2285, Dec. 1945. His Majesty Stationery, London (1948).

    Google Scholar 

  108. Cox, H. L., Four Studies in the Theory of Stress Concentration. Aero. Research Council. His Majesty Stationery. R and M. No. 2704, London (1953).

    Google Scholar 

  109. Freudenthal, A. M., Fracture, ed. by Liebowitz, H., Vol. II, Chap. 6, Academic Press (1968).

    Google Scholar 

  110. Durelli, A. J. and Parks, V. J., Influence of Size and Shape on the Tensile Strength of Brittle Materials. British Journal of Applied Physics, Vol. 18, pp. 387 – 388 (1967).

    Article  ADS  Google Scholar 

  111. Kim, B. S. and Eringen, A. C., Stress Distribution Around an Elliptic Hole in an Infinite Micropolar Elastic Plate, Letters in Applied and Engineering Science, Vol. 1, pp. 381–390, Pergamon (1973).

    Google Scholar 

  112. Mindlin, R. D., Influence of Couple Stresses on Stress Concentrations, Experimental Mechanics, Vol. 3, No. 1, pp. 1 – 7 (January 1963).

    Article  MathSciNet  Google Scholar 

  113. Sternberg, E. and Muki, R., The Effect of Couple–Stresses on the Stress Concentration Around a Crack, ONR report, April 1966 Contract Nonr-220(58)NR-064–431.

    Google Scholar 

  114. Hartranft, R. J. and Sih, G. C., The Effect of Couple Stresses on the Stress Concentration of a Circular Inclusion, Journal of Applied Mechanics, (June 1965).

    Google Scholar 

  115. Shiryaer, Ya M., Stress Concentration Near an Inhomogeneity and Experimental Clarification of the Couple–Stress Effect. Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 142–144, (July–Aug. 1976). Trans, in Journal of Applied Mechanics and Technical Physics, Vol. 17, No. 4, pp. 569 – 571 (May 1977).

    Google Scholar 

  116. Cartwright, D. J. and Rooke, E. P., Approximate Stress Intensity Factors Compounded From Known Solutions, Engineering Fracture Mechanics, Vol. 6, p. 563 (1974).

    Article  Google Scholar 

  117. Sih, G. C. (Ed.), Methods of Analysis and Solutions of Crack Problems, Noordhoff Int. Publish. (1973).

    MATH  Google Scholar 

  118. Sih, G. C., Handbook of Stress Intensity Factors for Researchers and Engineers, Inst, of Fract. and Sol. Mech., Lehigh Univ. Bethlehem, PA. 1973.

    Google Scholar 

  119. Tada, H., Paris, P. and Irwin, G., The Stress Analysis of Cracks Handbook, Del. Research Corp., Hillertown, PA (1973).

    Google Scholar 

  120. Rooke, D. F. and Cartwright, D. J., Compendium of Stress Intensity Factors, Ministry of Defence, Her Majesty’s Stationery Office, London (1974).

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Martinus Nijhoff Publishers bv, The Hague

About this chapter

Cite this chapter

Durelli, A.J. (1981). Stress concentrations. In: Sih, G.C. (eds) Experimental evaluation of stress concentration and intensity factors. Mechanics of Fracture, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8337-3_1

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-8337-3_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-8339-7

  • Online ISBN: 978-94-009-8337-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics