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.
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.
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
Inhaltsangabe
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
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
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