Classical and Advanced Theories of Thin Structures - Mechanical and Mathematical Aspects

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.

Sommario

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.

Riassunto

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.

Dettagli sul prodotto

• Con la collaborazione di: Antoni Morassi (Editore), Antonio Morassi (Editore), Paroni (Editore), Paroni (Editore), Roberto Paroni (Editore)
• Editore: Springer, Wien
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 07.10.2008
• EAN: 9783211854297
• ISBN: 978-3-211-85429-7
• Pagine: 258
• Peso: 542 g
• Illustrazioni: VII, 258 p.
• Serie: CISM International Centre for Mechanical Sciences; CISM International Centre for Mechanical Sciences
• Categorie: Saggistica > Natura, tecnica > Astronomia: tematiche generali, opere di consultazione; Scienze naturali, medicina, informatica, tecnica > Fisica, astronomia > Meccanica, acustica; B, Mathematische Physik, Maschinenbau: Festkörpermechanik, engineering, Physics, Classical mechanics, Solid Mechanics, Mechanics, Mechanics of solids, Mechanics, Applied, Mathematical physics, Mathematical Methods in Physics