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.

List 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.

Summary

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.

Product details

• Assisted by: Antoni Morassi (Editor), Antonio Morassi (Editor), Paroni (Editor), Paroni (Editor), Roberto Paroni (Editor)
• Publisher: Springer, Wien
• Languages: English
• Product format: Paperback / Softback
• Released: 14.10.2010
• EAN: 9783211999400
• ISBN: 978-3-211-99940-0
• No. of pages: 258
• Illustrations: VII, 258 p.
• Series: CISM International Centre for Mechanical Sciences; CISM International Centre for Mechanical Sciences
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Mechanics, acoustics; B, Mathematische Physik, Maschinenbau: Festkörpermechanik, engineering, Physics, Classical mechanics, Solid Mechanics, Mechanics, Mechanics of solids, Mechanics, Applied, Mathematical physics, Mathematical Methods in Physics