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9780198506256

Elasticity and Geometry From hair curls to the nonlinear response of shells

by ;
  • ISBN13:

    9780198506256

  • ISBN10:

    0198506252

  • Format: Hardcover
  • Copyright: 2010-08-20
  • Publisher: Oxford University Press

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Summary

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 r

Author Biography


Dr. Basile Audoly is Research Fellow at CNRS, Paris.

Professor Yves Pomeau is Senior Researcher at CNRS and Professor of Mathematics at the University of Arizona.

Table of Contents


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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