Download Elasticity and Geometry: From hair curls to the non-linear by Basile Audoly,Yves Pomeau PDF

By Basile Audoly,Yves Pomeau

We adventure elasticity in all places in way of life: within the straightening or curling of hairs, the irreversible deformations of vehicle our bodies after a crash, or the bouncing of elastic balls in ping-pong or football. the idea of elasticity is vital to the hot advancements of utilized and primary technological know-how, similar to the bio-mechanics of DNA filaments and different macro-molecules, and the animation of digital characters in special effects and fabrics technological know-how. In this
book, the emphasis is at the elasticity of skinny our bodies (plates, shells, rods) in reference to geometry. It covers such subject matters because the mechanics of hairs (curled and straight), the buckling instabilities of under pressure plates, together with folds and conical issues showing at higher stresses, the
geometric tension of elastic shells, and the delamination of skinny compressed motion pictures. It applies common equipment of classical research, together with complicated nonlinear facets (bifurcation thought, boundary layer analysis), to derive distinctive, totally specific recommendations to express difficulties. those theoretical suggestions are mentioned in reference to experiments. The e-book is self-contained. Mathematical necessities are vector research and differential equations. The booklet can function a concrete
introduction to nonlinear equipment in analysis.

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