Skip to main content
Log in

Diffraction of elastic waves

  • Published:
Soviet Applied Mechanics Aims and scope

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. A. I. Babichev, “Translational motion of a sphere in an elastic medium”, Izv. Akad. Nauk UzbekSSR, Ser. Tekh. Nauk, No. 4, 35–40 (1966).

    Google Scholar 

  2. A. I. Babichev, “Analysis of the interaction of elastic waves with cylindrical and spherical obstacles by the method of characteristics” in: Proceedings of the All-Union Symposium on Propagation of Elastoplastic Waves in Continua, 1964 [in Russian], Akad. Nauk AzerbSSR, Baku (1966), pp. 443–456.

    Google Scholar 

  3. N. M. Borodachev, “Dynamic friction problem in the case of longitudinal shear strains”, Probl. Prochn., No. 4, 23–25 (1973).

    Google Scholar 

  4. G. N. Watson, Theory of Bessel Functions, 2nd ed., Macmillan, New York (1945).

    Google Scholar 

  5. V. T. Golovchan, “Dynamic stress concentration in a plate containing two circular holes”, Prikl. Mekh.,3, No. 11, 23–28 (1967).

    Google Scholar 

  6. V. T. Golovchan, “Dynamic stress distribution between holes in an infinite plate”, Prikl. Mekh.,4, No. 4, 131–135 (1968).

    Google Scholar 

  7. V. T. Golovchan, “Diffraction of a longitudinal elastic wave at the edges of two circular holes in an infinite plate”, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 4, 60–64 (1969).

    Google Scholar 

  8. V. T. Golovchan, “Plane vibrations of an eccentric cylinder”, Prikl. Mekh.,5, No. 5, 120–124 (1969).

    Google Scholar 

  9. V. T. Golovchan, “Vibrations of a half-plane with circular holes”, Prikl. Mekh.,6, No. 1, 113–115 (1970).

    Google Scholar 

  10. V. T. Golovchan, “Propagation of elastic waves in a cylinder containing longitudinal cavities”, Dop. Akad. Nauk UkrRSR, Ser. A, No. 1, 45–47 (1970).

    Google Scholar 

  11. V. T. Golovchan, “Solutions of dynamic problems for an elastic body bounded by spherical surfaces”, Prikl. Mekh.,6, No. 6, 30–36 (1970).

    Google Scholar 

  12. V. T. Golovchan, “Fundamental boundary-value problems in the dynamic theory of elasticity for domains bounded by circles and straight lines”, Dop. Akad. Nauk UkrRSR, Ser. A. No. 6, 531–534 (1970).

    Google Scholar 

  13. V. T. Golovchan, “Solution of fundamental boundary-value problems for the wave equation in a half-space with spherical cavities”, Akust. Zh.,17, No. 2, 235–239 (1971).

    Google Scholar 

  14. V. T. Golovchan, “Diffraction of a shear wave by an infinite line array of cylindrical cavities” Prikl. Mekh.,7, No. 3, 41–46 (1971).

    Google Scholar 

  15. V. T. Golovchan, “Solution of a plane problem of elastic-wave diffraction for a plate with an infinite line array of circular holes”, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 5, 182–185 (1971).

    Google Scholar 

  16. V. T. Golovchan, “Diffraction of a longitudinal wave by an infinite line array of circular holes in an elastic plate.”, Prikl. Mekh., 7, No. 4, 74–81 (1971).

    Google Scholar 

  17. V. T. Golovchan, “Infinite algebraic systems of equations for problems in the diffraction of elastic waves at spherical surfaces”, Dop. Akad. Nauk UkrRSR, Ser. A, No. 11, 1009–1013 (1971).

    Google Scholar 

  18. V. T. Golovchan, “Diffraction of a transverse elastic wave by elliptical cylinders in a half-space”, Dop. Akad. Nauk UkRSR, Ser. A, No. 3, 246–249 (1971).

    Google Scholar 

  19. V. T. Golovchan, “Diffraction of elastic waves by an infinite line array of spherical cavities”, Dop. Akad. Nauk UkrRSR, Ser. A, No. 2, 137–139 (1971).

    Google Scholar 

  20. V. T. Golovchan, “Addition theorems for the solenoidal part of the displacement vector of points of an elastic body in spherical coordinates”, Dop. Akad. Nauk UkrRSR, Ser, A, No. 11., 1005–1008 (1973).

    Google Scholar 

  21. V. T. Golovchan, “Vibrations of a spherical shell of variable thickness”, Prikl. Mekh.,10, No. 9, 90–103 (1974).

    Google Scholar 

  22. V. T. Golovchan, “Wave diffraction by two spherical cavities in an elastic space”, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 1, 171–176 (1976).

    Google Scholar 

  23. V. T. Golovchan, “Torsional waves in an elastic cylinder containing spherical cavities”, Prikl. Mekh.,12, No. 11, 25–32 (1976).

    Google Scholar 

  24. V. T. Golovchan and A. N. Guz', “Diffraction of elastic waves by an infinite line array of circular cylinders”, Dokl. Akad. Nauk SSSR,186, No. 2, 286–288 (1969).

    Google Scholar 

  25. V. T. Golovchan and A. N. Guz', “Diffraction of elastic waves by an infinite array of circular holes”, Dop. Akad. Nauk UkrRSR, Ser A, No. 2, 159–161 (1970).

    Google Scholar 

  26. V. T. Golovchan and A. N. Guz', “Solution of two-dimensional periodic and doubly periodic problems in the theory of steady-state vibrations of elastic and viscoelastic bodies” in: Waves in Inelastic Media [in Russian], Akad. Nauk MoldSSR, Kishinev (1970), pp. 57–63.

    Google Scholar 

  27. V. T. Golovchan and A. N. Guz', “Solution of problems in the diffraction of elastic waves by spherical cavities”, Prikl. Mekh.,8, No. 9, 118–122 (1972).

    Google Scholar 

  28. V. T. Golovchan and A. N. Guz', “Propagation of shear waves in an elastic layer perforated with a row of cylindrical holes”, Prikl. Mekh.,12, No. 9, 18–23 (1976).

    Google Scholar 

  29. S. V. Gritsai, “Dynamic bending stresses in wood panels weakened by two circular holes.”, in: Forestry and the Timber, Paper, and Woodworking Industry [All-Republic Interinstitute Scientific-Technical Collection] [in Russian], No. 1 (1973), pp. 39–43.

  30. A. N. Guz', “Approximate method for calculation of the stress concentrations around curvilinear holes in shells” Prikl. Mekh. [in Ukrainian],2, No. 6, 605–612, (1962).

    Google Scholar 

  31. A. N. Guz' “Solution of dynamic problems for several parallel cylindrical cavities”, in: Problems in the Mechanics of Rocks, [in Russian], Akad. Nauk KazSSR, Alma-Ata (1966), pp. 137–144.

    Google Scholar 

  32. A. N. Guz', “Solution of the second plane dynamic elasticity problem for multiply connected domains”, Prikl. Mekh.,2, No. 8, 126–132 (1966).

    Google Scholar 

  33. A. N. Guz', “A method for the solution of three-dimensional linear problems of continuum mechanics for noncanonical domains”, Dop. Akad. Nauk UkrRSR, Ser. A, 352–355 (1970).

  34. A. N. Guz', “Wave diffraction by finite bodies of revolution”, Prikl. Mekh.,9, No. 7, 10–18 (1973).

    Google Scholar 

  35. A. N. Guz' and V. T. Golovchan, “Solution of two-dimensional doubly periodic problems in the theory of steady-state vibrations of viscoelastic bodies”, Prikl. Mat. Mekh.,33, No. 4, 756–759 (1969).

    Google Scholar 

  36. A. N. Guz' and V. T. Golovchan, “Diffraction of Elastic Waves in Multiply Connected Bodies [in Russian], Naukova Dumka, Kiev (1972).

    Google Scholar 

  37. A. N. Guz', V. T. Golovchan, and M. A. Cherevko, “Diffraction of antisymmetric waves by a line array of penny-shaped cracks in an infinite plate”, Prikl. Mekh.,10. No. 8 56–61 (1974).

    Google Scholar 

  38. A. N. Guz', V. T. Golovchan, and M. A. Cherevko, “Diffraction of flexural waves in an infinite plate with several penny-shaped, cracks”, in: Theoretical Applied Mechanics [All-Republic Interinstitute Scientific-Technical Collection] [in Russian], No. 7 (1976), pp. 8–15.

  39. A. N. Guz', R. Yu. Kerimov, and S. Yu. Kerimov, “Diffraction of torsional waves by bodies of revolution”, Izv. Akad. Nauk AzerbSSR, Ser. Fiz.-Tekh. Mat. Nauk, No. 2, 144–149 (1973).

    Google Scholar 

  40. A. N. Guz' and M. A. Cherevko, “Diffraction of shear waves by an array of circular elastic filaments”, Mekh. Polim., No. 2, 337–341 (1977).

    Google Scholar 

  41. A. N. Kovshov and I. V. Simonov, “Certain motions of a rigid sphere embedded in an infinite elastic medium”, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 5, 155–162 (1967).

    Google Scholar 

  42. Yu. K. Konenkov, “Diffraction of a flexural wave by a circular obstacle in a plate”, Akust. Zh.,10, No. 2, 186–190 (1964).

    Google Scholar 

  43. A. S. Kosmodamianskii and A. A. Moiseenko, “The dynamic elasticity problem for an inhomogeneous plate”, Dop. Akad. Nauk UkrRSR, Ser. A, No. 7, 624–627 (1971).

    Google Scholar 

  44. V. D. Kubenko, “Propagation of an elastic expansion wave from a circular hole in a cylindrically anisotropic inhomogeneous plate”, in: Stress Concentration [in Russian], No. 1, Naukova Dumka, Kiev (1965), pp. 164–173.

    Google Scholar 

  45. V. D. Kubenko, “Propagation of elastic waves from a circular hole in an anisotropic inhomogeneous plate”, Prikl. Mekh.,1, No. 2, 25–33 (1965).

    Google Scholar 

  46. V. D. Kubenko, “Stresses around an elliptical hole subjected to oscillating pressure”, Prikl. Mekh.,1, No. 5, 133–137 (1965).

    Google Scholar 

  47. V. D. Kubenko, “Propagation of elastic waves from a spherical cavity in an inhomogeneous anisotropic medium”, in: Proceedings of the First All-Republic Conference of Young Mathe maticians of the Ukraine [in Russian], Inst. Mat. Akad. Nauk UkrSSR, Kiev (1965), pp. 378–389.

    Google Scholar 

  48. V. D. Kubenko, “Dynamic stress concentration around a square hole under steady-state wave motions”, Prikl. Mekh.,2, No. 12, 67–75 (1966).

    Google Scholar 

  49. V. D. Kubenko, “Dynamic stress concentration around an elliptical hole”, Dop. Akad. Nauk UkrRSR, Ser. A, No. 3, 60–64 (1967).

    Google Scholar 

  50. V. D. Kubenko, “Propagation of a plane harmonic shear wave in a plate with a square hole”, Prikl. Mekh.,4, No. 2, 129–133 (1968).

    Google Scholar 

  51. V. D. Kubenko, “Solution of diffraction problems for transient elastic waves at obstacles of cylindrical and spherical configuration”, Dokl. Akad. Nauk UkrSSR, Ser A, No. 10, 901–906 (1975).

    Google Scholar 

  52. V. D. Kubenko and Z. M. Zul'fugarov, “Stress state around a circular cavity, in the dynamic plane problem of couple elasticity theory”, Izv. Akad. Nauk AzerbSSR, No. 4, 99–102 (1969).

    Google Scholar 

  53. V. D. Kupradze, Potential Methods in the Theory of Elasticity [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  54. C. C. Mow, “Transient response of a rigid spherical inclusion in an elastic medium”, Trans. ASME, Ser. E: J. Appl. Mech.,87, No. 3, 637 (1965).

    Google Scholar 

  55. C. C. Mow and L. J. Mente, “Dynamic stresses and displacements around cylindrical discontinuities due to plane harmonic shear waves”, Trans. ASME, Ser. E:J. Appl. Mech.,86, No. 4, 598 (1963).

    Google Scholar 

  56. A. A. Moiseenko, “Influence of an eccentric dynamic load on the stress—strain state of an inhomogeneous isotropic plate”, in: Theoretical and Applied Mechanics [All-Republic Interinstitute Scientific-Technical Collection] [in Russian], No. 4 (1973), pp. 62–69.

  57. F. C. Moon and Y.-H. Pao, “The influence of the curvature of spherical waves on dynamic stress concentration”, Trans. ASME, Ser. E: J. Appl. Mech.,89, No. 2, 373 (1967).

    Google Scholar 

  58. Yu. N. Nemish, “The ‘boundary-perturbation’ method in three-dimensional problems in the mechanics of deformable media”, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 1, 17–26 (1975).

    Google Scholar 

  59. Yu. N. Nemish, “Foundation of the perturbation method in three-dimensional problems in the mechanics of deformable media,” Prikl. Mekh.,13, No. 12, 23–33 (1977).

    Google Scholar 

  60. M. A. Oien and Y.-H. Pao, “Scattering of compressional waves by a rigid spheroidal inclusion,” Trans. ASME, Ser. E: J. Appl. Mech.,95, No. 4 (1973).

  61. N. N. Panasyuk, “Action of a plane step elastic wave on a spherical cavity,” in: Waves in Continuous Media [in Russian], Naukova Dumka, Kiev (1978), pp. 79–85.

    Google Scholar 

  62. Y.-H. Pao, “Dynamical stress concentration in an elastic plate,” Trans. ASME, Ser. E: J. Appl. Mech.,84, No. 2, 299 (1962).

    Google Scholar 

  63. V. Z. Parton and B. A. Kudryavtsev, “A dynamic problem of fracture mechanics for a plane with an inclusion,” in: Mechanics of Deformable Bodies and Structures [in Russian], Mashinostroenie, Moscow (1975), pp. 379–384.

    Google Scholar 

  64. V. Z. Parton and E. M. Morozov, Mechanics of Elastoplastic Fracture [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  65. S. A. Thau and Y.-H. Pao, “Diffractions of horizontal shear waves by a parabolic cylinder and dynamic stress concentrations,” Trans. ASME, Ser. E: J. Appl. Mech.,88, No. 4, 785 (1966).

    Google Scholar 

  66. M. J. Forrestal and W. E. Alzheimer, “Transient motion of a rigid cylinder produced by elastic and acoustic waves,” Trans. ASME, Ser. E: J. Appl. Mech.,90, No. 3, 134 (1968).

    Google Scholar 

  67. H. Huang and Y. F. Wang, “Transient stress concentration by a spherical cavity in an elastic medium,” Trans. ASME, Ser. E: J. Appl. Mech.,94, No. 4, 1002 (1972).

    Google Scholar 

  68. S. L. Cheng, “Multiple scattering of elastic waves by parallel cylinders,” Trans. ASME, Ser. E: J. Appl. Mech.,91, No. 3, 523 (1969).

    Google Scholar 

  69. M. A. Cherevko, “Diffraction of flexural waves in a thin infinite plate with cracks,” Dop. Akad. Nauk UkrRSR, Ser. A, No. 4, 337–339 (1974).

    Google Scholar 

  70. M. A. Cherevko, “Diffraction of plane flexural waves in an infinite multiply connected plate,” Prikl. Mekh.,10, No. 6, 66–72 (1974).

    Google Scholar 

  71. M. A. Cherevko, “Scattering of a plane flexural wave by an infinite array of penny-shaped cracks in a plate,” Prikl. Mekh.,10, No. 9, 118–121 (1974).

    Google Scholar 

  72. M. A. Cherevko, “On the multiple-scattering technique in diffraction theory,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 9, 814–817 (1975).

    Google Scholar 

  73. M. A. Cherevko, “Diffraction of longitudinal waves by a line array of circular elastic inclusions,” Prikl. Mekh.,14, No. 2, 67–72 (1978).

    Google Scholar 

  74. G. P. Cherepanov, Mechanics of Brittle Fracture [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  75. S. L. Cheng, “Dynamic stresses in a plate with circular holes,” Trans. ASME, Ser. E: J. Appl. Mech.,94, No. 1, 129 (1972).

    Google Scholar 

  76. R. N. Shvets, “Dynamic bending stresses in a thin plate containing a foreign inclusion,” Fiz.-Khim. Mekh. Mater.,7, No. 1, 82–85 (1971).

    Google Scholar 

  77. R. N. Shvets, “Dynamic bending-stress concentration in a thin plate with a circular inhomogeneity,” in: Stress Concentration [in Russian], No. 3, Naukova Dumka, Kiev (1971), pp. 203–208.

    Google Scholar 

  78. R. N. Shvets and S. V. Gritsai, “Dynamic stresses in a transverse isotropic plate with an annular array of identical circular holes,” in: Mathematical Methods and Physicochemical Fields [All-Republic Interinstitute Scientific-Technical Collection] [in Russian], No. 3, (1976), pp. 57–61.

  79. N. A. Shul'ga, “Diffraction of waves by circular obstacles in a half-plane,” Prikl. Mekh.,5, No. 5, 115–119 (1969).

    Google Scholar 

  80. M. T. Jakub and C. C. Mow, “On the effects of source proximity on the dynamic stresses around a cylindrical cavity,” Trans. ASME, Ser. E: J. Appl. Mech.,89, No. 2 (1967).

  81. M. L. Baron and A. T. Matthews, “Diffraction of pressure wave by a cylindrical cavity in an elastic medium,” Trans. ASME, Ser. E: J. Appl. Mech.,83, No. 3, 347–354 (1961).

    Google Scholar 

  82. M. L. Baron and R. Parness, “Diffraction of a pressure wave by a cylindrical shell and an elastic medium,” in: Proceedings of the Fourth U. S. National Congress on Applied Mechanics, Pergamon, New York (1962), pp. 63–75.

    Google Scholar 

  83. M. L. Baron and R. Parness, “Displacement and velocities produced by the diffraction of a pressure wave by a cylindrical cavity in an elastic medium,” Trans. ASME, Ser. E: J. Appl. Mech.,84, No. 2, 385–395 (1962).

    Google Scholar 

  84. P. M. Culkowski and H. Reismann, “Diffraction of flexural wave by an inner circular boundary in an unbounded flat plate,” Z. Angew. Math. Mech.,53, No, 9, 519–525 (1973).

    Google Scholar 

  85. S. K. Datta, “The diffraction of a plane compressional elastic wave by a rigid circular disk,” Quart. Appl. Math.,28, No. 1, 1–14 (1970).

    Google Scholar 

  86. G. Eason, “Propagation of waves from spherical and cylindrical cavities,” Z. Angew. Math. Phys., No. 1, 12–23 (1963).

    Google Scholar 

  87. J. N. Goodier, “Propagation of a sudden rotary disturbance in an elastic plate in plane stress,” Trans. ASME, Ser. E: J. Appl. Mech.,78, No. 1, 284–286 (1956).

    Google Scholar 

  88. D. L. Jain and R. P. Kanwal, “Diffraction of a plane shear elastic wave by a circular rigid disk and a penny-shaped crack,” Quart. Appl. Math.,4, No. 3, 283–298 (1972).

    Google Scholar 

  89. A. Kromm, “Zur Ausbreitung von Stobwellen in Kreislochscheiben,” Z. Angew. Math. Mech.,28, No. 4, 104–114 (1948).

    Google Scholar 

  90. I. Maekawa and T. Fukagawa, “Interference effect in dynamic stress concentration (effect of cylindrical wave on circular discontinuities),” Bull. Japan. Soc. Mech. Eng.,20, No. 140, 153–159 (1977).

    Google Scholar 

  91. A. K. Mal, “Dynamic stress-intensity factor for a nonaxisymmetric loading of the penny-shaped crack,” Int. J. Eng. Sci.,6, No. 12, 725–733 (1968).

    Google Scholar 

  92. A. W. Maue, “Die Entspannungswelle bei plötzlichen Einschnitt eines gespannten elastischen Körpers,” Z. Angew. Math. Mech.,34, Nos. 1/2, 1–12 (1954).

    Google Scholar 

  93. J. Miklowitz, “Plane-stress unloading wave emanating from a suddenly punched hole in a stretched elastic plate,” Trans. ASME, Ser. E: J. Appl. Mech.,82, No. 1, 681–689 (1960).

    Google Scholar 

  94. K. Nagaya and H. Saito, “Transverse vibration and wave propagation in an infinite thin elastic plate with circular inclusions,” Bull. Japan. Soc. Mech. Eng.,17, No. 111, 1121–1128 (1974).

    Google Scholar 

  95. Y.-H. Pao and C. C. Chao, “Diffraction of flexural waves by a cavity in an elastic plate,” AIAA J.,2, No. 11, 145–152 (1964).

    Google Scholar 

  96. Y.-H. Pao and C. C. Mow, “Dynamic stress concentration in an elastic plate with a rigid circular inclusion,” in: Proceedings of the Fourth U. S. National Congress on Applied Mechanics, Pergamon, New York (1962), pp. 335–345.

    Google Scholar 

  97. Y.-H. Pao and C. C. Mow, “Scattering of plane compressional waves by a spherical obstacle,” J. Appl. Phys.,34, No. 3, 493–499 (1963).

    Google Scholar 

  98. J. A. Robertson, “Diffraction of a plane longitudinal wave by a penny-shaped crack,” Proc. Cambridge Philos. Soc.,63, No. 2, 229–238 (1967).

    Google Scholar 

  99. H. Saito and K. Nagaya, “Flexural wave propagation in an infinite thin plate with a circular inclusion,” Technol. Rep. Tohoku Univ.,36, No. 2, 399–412 (1971).

    Google Scholar 

  100. H. Saito and K. Nagaya, “Flexural wave propagation in a thin plate with circular holes,“ Bull. Japan. Soc. Mech. Eng.,16, No. 97, 1045–1052 (1973).

    Google Scholar 

  101. H. Saito and K. Nagaya, “Flexural wave propagation in a plate with circular holes,” Bull. Japan. Soc. Mech. Eng.16, No. 100, 1506–1512 (1973).

    Google Scholar 

  102. H. Saito and K. Nagaya, “Flexural vibrations in an infinite thick plate with a circular hole to dynamical loads at the hole,” Bull. Japan. Soc. Mech. Eng.,17, No. 109, 896–903 (1974).

    Google Scholar 

  103. H. L. Selberg, “Transient compression waves from spherical and cylindrical cavities,” Ark. Fys., No. 1, 26–30 (1952).

    Google Scholar 

  104. G. C. Sih, “Some elastodynamic problems of cracks,” Intern. J. Fract. Mech.,4, No. 1, 51–68 (1968).

    Google Scholar 

  105. J. F. Loeber and G. C. Sih, “Torsional vibration of an elastic solid containing a penny-shaped crack,” J. Acoust. Soc. Amer.,44, No. 5, 1237–1245 (1968).

    Google Scholar 

  106. J. F. Loeber and G. C. Sih, “Wave propagation in an elastic solid with a line of discontinuity of finite crack,” Q. Appl. Math.,27, No. 2, 193–213 (1969).

    Google Scholar 

  107. E. Sternberg and I. C. Chakravorty, “On the propagation of shock waves in a nonhomogeneous elastic medium,” ASME, J. Appl. Mech.,81, No. 4, 528–536 (1959).

    Google Scholar 

  108. V. Vodička, “V. Radial vibrations of an infinite medium with a cylindrical cavity,” ZAMP No. 2, 166–172 (1963).

    Google Scholar 

  109. R. M. White, “Elastic wave scattering at a cylindrical discontinuity in a solid,” J. Acoust. Soc. Amer.,30, No. 5, 934–939 (1958).

    Google Scholar 

Download references

Authors

Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 14, No. 8, pp. 3–15, August, 1978.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guz', A.N., Kubenko, V.D. & Cherevko, M.A. Diffraction of elastic waves. Soviet Applied Mechanics 14, 789–798 (1978). https://doi.org/10.1007/BF00883678

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00883678

Keywords

Navigation