Basile Audoly, Yves Pomeau

Elasticity and Geometry

From Hair Curls to the Non-Linear Response of Shells

• Broschiertes Buch

Produktbeschreibung

We experience elasticity everywhere in everyday life. This book covers several modern aspects of the established field of elasticity theory, applying general methods of classical analysis including advanced nonlinear aspects to derive detailed solutions to specific problems. It can serve as an introduction to nonlinear methods in science.

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Produktdetails

• Verlag: Oxford University Press
• Seitenzahl: 608
• Erscheinungstermin: 7. August 2018
• Englisch
• Abmessung: 246mm x 169mm x 30mm
• Gewicht: 1159g
• ISBN-13: 9780198826262
• ISBN-10: 0198826265
• Artikelnr.: 51253517

Autorenporträt

Basile Audoly, CNRS and Université Pierre et Marie Curie, Paris VI, France Yves Pomeau, CNRS, École Normale Supérieure, Paris, France, and University of Arizona, Tucson, USA

Inhaltsangabe

1: Introduction
2: Three-dimensional elasticity
I: RODS
3: Equations for elastic rods
4: Mechanics of the human hair
5: Rippled leaves, uncoiled springs
II: PLATES
6: The equations for elastic plates
7: End effects in plate buckling
8: Finite amplitude buckling of a strip
9: Crumpled paper
10: Fractal buckling near edges
III: SHELLS
11: Geometric rigidity of surfaces
12: Shells of revolution
13: The elastic torus
14: Spherical shell pushed by a wall
Appendix A: Calculus of variations: a worked example
Appendix B: Boundary and interior layers
Appendix C: The geometry of helices
Appendix D: Derivation of the plate equations by formal expansion from 3D elasticity