Elasticity and Geometry: From Hair Curls to the Non-Linear Response of Shells

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.


Author: Basile Audoly, Yves Pomeau
Publisher: Oxford University Press, USA
Published: 08/07/2018
Pages: 600
Binding Type: Paperback
Weight: 2.55lbs
Size: 9.70h x 6.70w x 1.20d
ISBN: 9780198826262

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