Saint-Venant's Problem [electronic resource] / by Dorin Ieşan.
Material type: TextSeries: Lecture Notes in Mathematics ; 1279Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1987Description: X, 166 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540479116Subject(s): Physics | Global analysis (Mathematics) | Mathematical physics | Mechanics | Physics | Mathematical and Computational Physics | Analysis | MechanicsAdditional physical formats: Printed edition:: No titleDDC classification: 530.1 LOC classification: QC19.2-20.85Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK1640 |
The relaxed Saint-Venant problem -- Theory of loaded cylinders: The problems of Almansi and Michell -- Anisotropic materials -- Heterogeneous media -- Saint-Venant's problem for cosserat elastic bodies.
This monograph is concerned with the equilibrium of linearly elastic cylinders. It gives an up-to-date and systematic treatment of extension, bending, torsion and flexure of cylinders, including the deformation of homogeneous and nonhomogeneous anisotropic elastic cylinders by loads distributed on their lateral surfaces. Minimum energy characterizations of the solutions are discussed. An analysis of Saint-Venant's principle, in the context for which it was originally intended, is also presented. Many of the results included have not appeared or been previously discussed in the literature, and illustrative applications are presented throughout.
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