Elasticity and geometry: from hair curls to the non-linear response of shells

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. INDICE: 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

• ISBN: 978-0-19-850625-6
• Editorial: Oxford University
• Encuadernacion: Cartoné
• Páginas: 600
• Fecha Publicación: 24/06/2010
• Nº Volúmenes: 1
• Idioma: Inglés