Elasticity and Geometry (Paperback)

Basile Audoly

ISBN 10: 0198826265 / ISBN 13: 9780198826262

Published by Oxford University Press, Oxford, 2018

About this Item

Paperback. 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. Mathematicalprerequisites are vector analysis and differential equations. The book can serve as a concrete introduction to nonlinear methods in analysis. 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9780198826262

Bibliographic Details

• Title: Elasticity and Geometry (Paperback)
• Publisher: Oxford University Press, Oxford
• Publication Date: 2018
• Language: English
• ISBN 10: 0198826265
• ISBN 13: 9780198826262
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.

About the Author

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

Basile Audoly, CNRS and Universite Pierre et Marie Curie, Paris VI, France

Yves Pomeau, CNRS, Ecole Normale Superieure, Paris, France, and University of Arizona, Tucson, USA