Elasticity and Geometry

From Hair Curls to the Non-Linear Response of Shells
Erscheinungsjahr 2018
ISBN: 978-0-19-882626-2
Verlag: OXFORD UNIV PR

Buch, Englisch, 608 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 1017 g

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.

Autoren/Hrsg.

Audoly, Basile

Pomeau, Yves

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie
• Technische Wissenschaften Technik Allgemein Physik, Chemie für Ingenieure
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Naturwissenschaften Physik Angewandte Physik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Naturwissenschaften Physik Mechanik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Über Autor(innen)

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