Summary
In this paper a complex representation is found for the solution of the traction and displacement boundary value problems for the equations of bending of thin elastic plates established on the basis of Kirchhoff's kinematic assumption.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Kirchhoff, G.: Über das Gleichgewicht und die Bewegung einer elastischen Scheibe. Crelles J.40, 51–88 (1850).
Reissner, E.: On bending of elastic plates. Q. Appl. Math.5, 55–68 (1947).
Reissner, E.: Reflections on the theory of elastic plates. Appl. Mech. Rev.38, 1453–1464 (1985).
Mindlin, R. D.: Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates. J. Appl. Mech.18, 31–38 (1951).
Constanda, C.: Sur les formules de Betti et de Somigliana dans la flexion des plaques élastiques. C. R. Acad. Sci. Paris Sér. I300, 157–160 (1985).
Constanda, C.: Existence and uniqueness in the theory of bending of elastic plates. Proc. Edinburgh Math. Soc.29, 47–56 (1986).
Constanda, C.: Fonctions de tension dans un problème de la théorie de l'élasticité. C. R. Acad. Sci. Paris Sér. II303, 1405–1408 (1986).
Reissner, E.: On the theory of transverse bending of elastic plates. Int. J. Solids Structures12, 545–554 (1976).
Vekua, I. N.: New methods for solving elliptic equations. Amsterdam: North Holland 1967.
Green, A. E.: On Reissner's theory of bending of elastic plates. Q. Appl. Math.7, 223–228 (1949).
Author information
Authors and Affiliations
Additional information
With 1 Figure
Rights and permissions
About this article
Cite this article
Constanda, C. On complex potentials in elasticity theory. Acta Mechanica 72, 161–171 (1988). https://doi.org/10.1007/BF01176550
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01176550