Some Mean Value Theorems in Elastostatics
James H. Bramble, Lawrence Edward Payne · Journal of the Society for Industrial and Applied Mathematics · 1964
Previous article Next article Some Mean Value Theorems in ElastostaticsJ. H. Bramble and L. E. PayneJ. H. Bramble and L. E. Paynehttps://doi.org/10.1137/0112009PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Giovanni Aquaro, Un teorema di media per le equazioni dell'elasticità, Rivista Mat. Univ. Parma, 1 (1950), 419–424 MR0040939 0040.10504 Google Scholar[2] J. B. Diaz and , L. E. Payne, Mean value theorems in the theory of elasticity, Proceedings of the Third U.S. National Congress of Applied Mechanics, Brown University, Providence, R.I., June 11–14, American Society of Mechanical Engineers, New York, 1958, 293–303 MR0101656 Google Scholar[3] J. B. Diaz and , L. E. Payne, On a mean value theorem, and its converse, for the displacements in the theory of elasticity, Portugal. Math., 17 (1958), 123–126 MR0129195 0093.38603 Google Scholar[4] J. B. Diaz and , L. E. Payne, New mean value theorems in the mathematical theory of elasticity, Contributions to Differential Equations, 1 (1963), 29–38 MR0149722 0202.57602 Google Scholar[5] Antonio Carlo Garibaldi, Su una proprietà di media caratteristica per l'equazione dell'elastostatica, Rend. Sem. Mat. Univ. Padova, 27 (1957), 306–318 MR0101657 0109.16903 Google Scholar[6] M. Nicolesco, Les fonctions polyharmoniques, Actualités Sci. et Ind., No. 331, Paris, 1936 Google Scholar[7] J. L. Nowinski, A mean value theorem for an arbitrary steady-state thermoelastic problem for a solid sphere, J. Soc. Indust. Appl. Math., 11 (1963), 623–631 10.1137/0111047 MR0157551 0128.18303 LinkISIGoogle Scholar[8] Francesco Sbrana, Una proprietà caratteristica delle equazioni dell'elasticità, Atti Accad. Ligure, 9 (1952), 84–88 (1953) MR0057132 0053.30503 Google Scholar[9] J. L. Synge, Upper and lower bounds for the solutions of problems in elasticity, Proc. Roy. Irish Acad. Sect. A., 53 (1950), 41–64 MR0039484 0035.40002 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Mesoscale Models and Approximate Solutions for Solids Containing Clouds of VoidsV. G. Maz'ya, A. B. Movchan, and M. J. NievesMultiscale Modeling & Simulation, Vol. 14, No. 1 | 26 January 2016AbstractPDF (2297 KB) Volume 12, Issue 1| 1964Journal of the Society for Industrial and Applied Mathematics1-248 History Submitted:09 July 1963Published online:13 July 2006 InformationCopyright © 1964 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0112009Article page range:pp. 105-114ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics