Elasticity and Geometry

Elasticity and Geometry

From hair curls to the non-linear response of shells

Audoly, Basile; Pomeau, Yves

Oxford University Press

06/2018

608

Mole

Inglês

9780198826262

15 a 20 dias

1128

Descrição não disponível.
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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