Basile Audoly: Elasticity and Geometry

Cover: 9780198826262 | Elasticity and Geometry | Basile Audoly (u. a.) | Taschenbuch | 2018

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Sprache: Englisch

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Beschreibung

We experience elasticity everywhere in daily life: in the straightening or curling of hairs, the irreversible deformations of car bodies after a crash, or the bouncing of elastic balls in ping-pong or soccer. The theory of elasticity is essential to the recent developments of applied and fundamental science, such as the bio-mechanics of DNA filaments and other macro-molecules, and the animation of virtual characters in computer graphics and materials science. In this book, the emphasis is on the elasticity of thin bodies (plates, shells, rods) in connection with geometry. It covers such topics as the mechanics of hairs (curled and straight), the buckling instabilities of stressed plates, including folds and conical points appearing at larger stresses, the geometric rigidity of elastic shells, and the delamination of thin compressed films. It applies general methods of classical analysis, including advanced nonlinear aspects (bifurcation theory, boundary layer analysis), to derive detailed, fully explicit solutions to specific problems. These theoretical concepts are discussed in connection with experiments. Mathematical prerequisites are vector analysis and differential equations. The book can serve as a concrete introduction to nonlinear methods in analysis.

Über den Autor

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

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2018
Fachbereich:	Astronomie
Genre:	Importe , Physik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9780198826262
ISBN-10:	0198826265
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Audoly, Basile Pomeau, Yves
Hersteller:	OXFORD UNIV PR
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	244 x 170 x 32 mm
Von/Mit:	Basile Audoly (u. a.)
Erscheinungsdatum:	07.08.2018
Gewicht:	1,017 kg