Elasticity and Geometry - From Hair Curls to the Nonlinear Response of Shells

Informationen zum Autor Dr. Basile Audoly Research Fellow CNRS Paris Professor Yves Pomeau Senior Researcher CNRS and Professor of Mathematics at the University of Arizona Klappentext 0 Zusammenfassung 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. 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

Dettagli sul prodotto

• Autori: B. Audoly, Basile Audoly, Basile (CNRS and Universite Pierre et Marie Curie Audoly, Basile/ Pomeau Audoly, Pomeau Audoly, Audoly Basile, Yves Pomeau, Yves (CNRS Pomeau, Pomeau Yves
• Editore: Oxford University Press
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 20.08.2010
• EAN: 9780198506256
• ISBN: 978-0-19-850625-6
• Pagine: 600
• Categorie: Scienze naturali, medicina, informatica, tecnica > Fisica, astronomia > Meccanica, acustica; SCIENCE / Physics / General, LANGUAGE ARTS & DISCIPLINES / Linguistics / General, SCIENCE / Mechanics / General, SCIENCE / Nanoscience, geometry, Classical mechanics, Applied mathematics, Mechanical Engineering & Materials, Mechanical engineering and materials