Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

   
 

 

On stress functions for elastokinetics and the integration of the repeated wave equation


Authors: E. Sternberg and R. A. Eubanks
Journal: Quart. Appl. Math. 15 (1957), 149-153
MSC: Primary 73.2X
DOI: https://doi.org/10.1090/qam/91657
MathSciNet review: 91657
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] B. Galerkin, Contribution à la solution générale du problème de la théorie de l'élasticité dans le cas de trois dimensions, C. R., Acad. Sci. Paris 190, 1047 (1930)
  • [2] Maria Iacovache, On an extension of Galerkin’s method to the system of equations of elasticity, Acad. Repub. Pop. Române. Bul. Şti. A. 1 (1949), 593–596 (Romanian, with Russian and French summaries). MR 0045554
  • [3] Gr. C. Moisil, Sur les systèmes d’équations aux dérivées partielles linéaires et à coefficients constants, Acad. Repub. Pop. Române. Bul. Şti. A. 1 (1949), 341–351 (Romanian, Russian, French). MR 0037442
  • [4] P. F. Papkovich, Solution générale des équations différentielles fondamentales d'élasticité exprimée par trois fonctions harmoniques, C. R., Acad. Sci. Paris 195, 513 (1932)
  • [5] Emilio Almansi, Sull' integrazione dell' equazione differenziale $ {\nabla ^{2n}} = 0$ Ann. di Mat., Ser 3, 2, 1 (1899)
  • [6] R. D. Mindlin, Note on the Galerkin and Papkovitch stress functions, Bull. Amer. Math. Soc. 42 (1936), no. 6, 373–376. MR 1563303, https://doi.org/10.1090/S0002-9904-1936-06304-4
  • [7] H. M. Westergaard, Theory of elasticity and plasticity, Harvard University Press, Cambridge, Mass.; John Wiley & Sons, Inc., New York, 1952. MR 0051675
  • [8] H. B. Phillips, Vector analysis, John Wiley & Sons, New York, 1933
  • [9] H. Neuber, Ein neuer Ansatz zur Lösung räumlicher Probleme der Elastizitätstheorie, Z. angew. Math. Mech. 14, 203 (1934)
  • [10] R. D. Mindlin, Force at a point in the interior of a semi-infinite solid, Proceedings of The First Midwestern Conference on Solid Mechanics, April, 1953, The Engineering Experiment Station, University of Illinois, Urbana, Ill., 1954, pp. 56–59. MR 0061547
  • [11] R. A. Eubanks and E. Sternberg, On the axisymmetric problem of elasticity theory for a medium with transverse isotropy, J. Rational Mech. Anal. 3 (1954), 89–101. MR 0059147

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 73.2X

Retrieve articles in all journals with MSC: 73.2X


Additional Information

DOI: https://doi.org/10.1090/qam/91657
Article copyright: © Copyright 1957 American Mathematical Society


Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2017 Brown University
Comments: qam-query@ams.org
AMS Website