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英语 [en], .pdf, 🚀/lgli/lgrs/zlib, 6.0MB, 📘 非小说类图书, lgli/Elasticity and Geometry_978–0–19–850625–6.pdf
Elasticity and Geometry: From hair curls to the nonlinear response of shells 🔍
Oxford University Press, 1, 2010
Basile Audoly, Yves Pomeau 🔍
描述
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 recent developments of applied and fundamental science, such as the bio-mechanics of DNA filaments and other macro-molecules, and the animation of virtual characters in computer graphics and materials science. In this book, the emphasis is on the elasticity of thin bodies (plates, shells, rods) in connection with geometry. It covers such topics as the mechanics of hairs (curled and straight), the buckling instabilities of stressed plates, including folds and conical points appearing at larger stresses, the geometric rigidity of elastic shells, and the delamination of thin compressed films. It applies general methods of classical analysis, including advanced nonlinear aspects (bifurcation theory, boundary layer analysis), to derive detailed, fully explicit solutions to specific problems. These theoretical concepts are discussed in connection with experiments. The book is self-contained. Mathematical prerequisites are vector analysis and differential equations. The book can serve as a concrete introduction to nonlinear methods in analysis.
元数据中的注释
lg1410427
Alternative title
Elasticity anf geometry
Alternative author
Audoly, Basile, Pomeau, Yves
Alternative author
Basile AUDOLY, Y. Pomeau
Alternative edition
Illustrated, 2010
Alternative description
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 Table Tennis Or Football. The Theory Of Elasticity Is Essential To The Recent Developments Of Applied And Fundamental Science, Such As The Bio-mechanics Of Dna Filaments And Other Macro-molecules, And The Animation Of Virtual Characters In Computer Graphics And Materials Science. In This Book, The Emphasis Is On The Elasticity Of Thin Bodies (plates, Shells, Rods) In Connection With Geometry. It Covers Such Topics As The Mechanics Of Hairs (curled And Straight), The Buckling Instabilities Of Stressed Plates, Including Folds And Conical Points Appearing At Larger Stresses, The Geometric Rigidity Of Elastic Shells, And The Delamination Of Thin Compressed Films. It Applies General Methods Of Classical Analysis, Including Advanced Non-linear Aspects (bifurcation Theory, Boundary Layer Analysis), To Derive Detailed, Fully Explicit Solutions To Specific Problems. These Theoretical Concepts Are Discussed In Connection With Experiments. The Book Is Self-contained. Mathematical Prerequisites Are Vector Analysis And Differential Equations. The Book Can Serve As A Concrete Introduction To Non-linear Methods In Analysis. --book Jacket. Three-dimensional Elasticity -- Pt. I. Rods. -- Equations For Elastic Rods -- Mechanic Of The Human Hair -- Rippled Leaves, Uncoiled Springs -- Pt. Ii. Plates. The Equations For Elastic Plates -- End Effects In Plate Buckling -- Finite Amplitude Buckling Of A Strip -- Crumpled Paper -- Fractal Buckling Near Edges -- Pt. Iii. Shells. Geometric Rigidity Of Surfaces -- Shells Of Revolution -- The Elastic Torus -- 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 Equaitons By Formal Expansion From 3d Elasticity. B. Audoly, Y. Pomeau. Includes Bibliographical References And Index.
Alternative filename
lgrsnf/Elasticity and Geometry_978–0–19–850625–6.pdf
开源日期
2015-12-02 — ol_source: 2017-01-02, isbndb_scrape: 2022-09-01, lgli_source: 2015-12-02, zlib_source: 2019-04-08, lgrsnf_source: 2015-12-02
更多信息……
ISBN-13978-0-19-850625-6 ISBN-100-19-850625-2 Open LibraryOL26210225M Open LibraryOL17606330W IAelasticitygeomet00audo Collectionzlib Collectionlibgen_rs Collectionopenlib Collectionlibgen_li Collectionisbndb Libgen.rs Non-Fiction1410427 MD5f76e36b4de71e4e4ec0248515cdd183d Z-Library2620556 Libgen.li File92448156 Libgen.li libgen_id1410427 Filepathlgli/ Filepathlgli/Elasticity and Geometry_978–0–19–850625–6.pdf Filepathlgrsnf/Elasticity and Geometry_978–0–19–850625–6.pdf LCCN2010017278 Torrentexternal/libgen_rs_non_fic/r_1410000.torrent Server Pathe/lgrsnf/1410000/f76e36b4de71e4e4ec0248515cdd183d LCCTA418 .A93 2010 LCCQA931
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