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.
A. Morassi: Strain, Stress and Linearized Elasticity R. Paroni: Constitutive Equations and Variational Elasticity D. Percivale: An Introduction to G-convergence Methods for Thin Structures P. Podio-Guidugli: Concepts in the Mechanics of Thin Structures P.G. Ciarlet: A Brief Introduction to Mathematical Shell Theory I. Fonseca: Non-Brittle and Brittle Thin Films - Lectures I, II I. Fonseca: A Young Measure Approach to a Nonlinear Membrane Model - Lecture III I. Fonseca: Bending Moment and Higher Order Membrane Models - Lecture IV I. Fonseca: 3D-2D Asymptotic Analysis for Inhomogeneous Thin Films - Lectures V, VI
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