Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Integral equations formulation of classical elasticity


Author: R. P. Kanwal
Journal: Quart. Appl. Math. 27 (1969), 57-65
MSC: Primary 73.45
DOI: https://doi.org/10.1090/qam/245250
MathSciNet review: 245250
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References [Enhancements On Off] (What's this?)

  • [1] E. Betti, Il Nuovo Cimento 6-10 (1872)
  • [2] C. Somigliana, Il Nuovo Cimento 17-20 (1885); Annali di Matematica (2) 17 (1889)
  • [3] I. Fredholm, Solution d'un problème fondamental de la théorie de l'élaslicilé, Arch. Mat. Astronom. Fysik, 2 (1905)
  • [4] G. Lauricella, Sur l'integration de l'équation relative à l'equilibre des plaques élastiques encastrées, Acta Math. 32 (1909)
  • [5] D. I. Sherman, Dokl. Akad. Nauk SSSR 27-28 (1940); 32 (1941)
  • [6] N. I. Muskhelishvili, Some basic problems of the mathematical theory of elasticity, Noordhoff, Holland, 1953 MR 0058417
  • [7] S. G. Mikhlin, Integral equations, Pergamon Press, London, 1957 MR 0087877
  • [8] M. A. Jaswon and A. R. Ponter, An integral equation solution of the torsion problem, Proc. Roy Soc. Series A, 273 (1963) MR 0149729
  • [9] F. J. Rizzo, An integral equation approach to boundary value problems of classical elaslostatics, Quart. Appl. Math. 25 (1967)
  • [10] C. W. Oseen, Neuere Methoden und Ergebnisse in der Hydrodynamik, Leipzig, 1927
  • [11] W. E. Williams, Boundary effects in Stokes flow, J. Fluid Mech. 24 (1966) MR 0191216
  • [12] R. P. Kanwal, Dynamical displacements in an infinite elastic space and matched asymptotic expansions, J. Math. Phys. 44 (1965). Errata ibid. 47 (1965)
  • [13] J. B. Diaz and H. J. Greenberg, Upper and lower bounds for the solution of the first boundary value problems of elasticity, Quart. Appl. Math. 6 (1948) MR 0026529
  • [14] A. E. H. Love, Mathematical theory of elasticity, 4th ed., Dover, New York, 1944 MR 0010851
  • [15] G. N. Bycroft, Forced vibrations of a rigid circular plate on a semi-infinite elastic space on an elastic stratum, Trans. Royal Philos. Soc., 248 (1955-1956) MR 0086506
  • [16] V. D. Kupradze, Dynamical problems in elasticity, North-Holland Publishing Company, Amsterdam, 1963 MR 0164488

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DOI: https://doi.org/10.1090/qam/245250
Article copyright: © Copyright 1969 American Mathematical Society

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