Classical and Advanced Theories of Thin Structures
Mechanical and Mathematical Aspects
Series: CISM International Centre for Mechanical Sciences; 503;
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Product details:
- Edition number 2008
- Publisher Springer Vienna
- Date of Publication 18 September 2008
- Number of Volumes 1 pieces, Book
- ISBN 9783211854297
- Binding Hardback
- No. of pages258 pages
- Size 235x155 mm
- Weight 571 g
- Language English
- Illustrations VII, 258 p. Illustrations, black & white 0
Categories
Long description:
The book presents an updated state-of-the-art overview of the general aspects and practical applications of the theories of thin structures, through the interaction of several topics, ranging from non-linear thin-films, shells, junctions, beams of different materials and in different contexts (elasticity, plasticity, etc.). Advanced problems like the optimal design and the modeling of thin films made of brittle or phase-transforming materials will be presented as well.
Table of Contents:
Strain, stress and linearized elasticity.- Constitutive equations and variational elasticity.- An introduction to ?-convergence methods for thin structures.- Concepts in the mechanics of thin structures.- A brief introduction to mathematical shell theory.- Non-Brittle and Brittle Thin Films — Lectures I, II.- A Young measure approach to a nonlinear membrane model — Lecture III.- Bending moment and higher order membrane models-lecture IV.- 3D-2D asymptotic analysis for inhomogeneous thin films — lectures V, VI.
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