Sommario
Si studiano problemi di deformazione elastoplastica piana retti da disequazioni variazionali in opportuni spazi funzionali. In particolare si trattano le questioni di esistenza e unicità delle soluzioni.
Summary
Plane elastic-plastic problems, described by variational inequalities, are studied with a suitable choice of functional spaces. We deal with existence and uniqueness of solutions.
This is a preview of subscription content, log in via an institution to check access.
References
Agmon S.,Lectures on Elliptic Boundary Value Problems. Ed. Van Nostrand, 1965.
Aruffo G., “Sistemi ellittici di equazioni lineari del primo ordine in domini a connessione multipla,”Ricerche di Matematica, vol. XIII, 80–91, Napoli, 1964.
Courant R., Hilbert D.,Methods of Mathematical Physics, 2, 1953.
Freudenthal A. M., andGeiringer H., “The mathematical theories of the inelastic continuum,” inHandbuch der Physik, Brand VI, Springer-Verlag, 1958, 229–432.
Grioli G.,Mathematical Theory of Elastic Equilibrium. Springer-Verlag, 1962.
Lions J. L., Magenes E.,Problèmes aux limites non homogènes et applications. Vol. I, Dunod, Paris, 1968.
Lions J. L., andStampacchia G., “Variational inequalities,”Comm. Pure Appl. Math. 20, 493–519, 1967.
Prager W., “On plane elastic strain in doubly connected domains,”Q. App. Math.,3, 377–381, 1946.
Prager W., andHodge P. G.,Theory of Perfectly Plastic Solids. New York: Wiley, 1951.
Stampacchia G., “Formes bilinéaires coercitives sur les ensembles convexes,”C. R. Acad. Sci., Paris,258, 4413–4416, 1964.
Stampacchia G., “Su una disequazione variazionale legata al comportamento elastoplastico delle travi appoggiate agli estremi.” Istituto di Elaborazione dell'Informazione del CNR, Pisa, Internal Report B74-30.
Timoshenko S. P.,Théorie de l'Élasticité. Paris, 1936.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cimatti, G. Elastoplastic deformation in multiply-connected domains. Meccanica 10, 87–92 (1975). https://doi.org/10.1007/BF02314745
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02314745