Topic
Elasticity (economics)
About: Elasticity (economics) is a research topic. Over the lifetime, 17338 publications have been published within this topic receiving 343445 citations.
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Book•
01 Nov 1982TL;DR: In this article, the mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis are discussed. But the authors do not discuss the application of functional analysis to the problem of elasticity.
Abstract: [Preface] This book treats parts of the mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It is intended for mathematicians, engineers, and physicists who wish to see this classical subject in a modern setting and to see some examples of what newer mathematical tools have to contribute.
2,115 citations
Book•
01 Sep 1982
TL;DR: In this article, the Statique Reference Record was created on 2004-09-07, modified on 2016-08-08, and was used for Elasticite and Plasticite.
Abstract: Keywords: Elasticite ; Plasticite ; Statique Reference Record created on 2004-09-07, modified on 2016-08-08
2,023 citations
TL;DR: In this paper, the elasticity and consolidation theory of isotropic materials is extended to the general case of anisotropy and the method of derivation is also different and more direct.
Abstract: The author's previous theory of elasticity and consolidation for isotropic materials [J. Appl. Phys. 12, 155–164 (1941)] is extended to the general case of anisotropy. The method of derivation is also different and more direct. The particular cases of transverse isotropy and complete isotropy are discussed.
1,864 citations
01 Jan 1909
TL;DR: Cosserat and Hermann as mentioned in this paper discussed the kinematical and dynamical theories of the flexible line, the flexible surface, and the deformable three-dimensional medium in great detail.
Abstract: THE authors, who are well known by their writings on general elastic theory, here reprint in separate form an appendix contributed by them to M. Chwolson's “Traité de Physique.” The kinematical and dynamical theories of the flexible line, the flexible surface, and the deformable three-dimensional medium are discussed in turn in great detail. The dynamical standpoint adopted is that of the principle of action, which forms, in the authors' opinion, the only satisfactory basis for the “deductive” exposition of the subject. In each, case the most general form of the function representing the “action” is sought which is consistent with the necessary invariantive relations. This procedure is, of course, not altogether new, and an expert, turning over the pages, will recognise much that in one form or another is familiar to him. The treatment is necessarily somewhat abstract, and is i mathematically very elaborate, Cartesian, methods being followed throughout. To many readers the long train of general investigations, unrelieved by a single application, may prove deterrent; but the authors at all events claim that their procedure has never before been carried out so resolutely and completely, and may justly pride themselves on the mathematical elegance of their work. Apart from its other qualities, the treatise has a distinct value as a book of reference, and furnishes a whole arsenal of formulæ which may save trouble to future writers.Théorie des Corps déformables.By E. Cosserat F. Cosserat. Pp. vi + 226. (Paris: A. Hermann et Fils, 1909.) Price 6 francs.
1,783 citations
TL;DR: In this article, the authors present a summary of demand response in deregulated electricity markets and highlight the most common indices used for DR measurement and evaluation, and some utilities' experiences with different demand response programs are discussed.
1,751 citations