Classical and Advanced Theories of Thin Structures [electronic resource] : Mechanical and Mathematical Aspects / edited by Antonino Morassi, Roberto Paroni.

By: Morassi, Antonino [editor.]Contributor(s): Paroni, Roberto [editor.] | SpringerLink (Online service)Material type: TextTextLanguage: English Series: CISM International Centre for Mechanical Sciences: 503Publisher: Vienna : Springer Vienna, 2008Description: VII, 258 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783211854303Subject(s): Engineering | Mathematical physics | Materials | Mechanical engineering | Engineering | Structural Mechanics | Mathematical Methods in Physics | Continuum Mechanics and Mechanics of MaterialsAdditional physical formats: Printed edition:: No titleDDC classification: 620.1 LOC classification: TA349-359Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
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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.

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.

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