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Elasticity and Geometry : From Hair Curls to the Non-linear Response of Shells

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Title: Elasticity and Geometry : From Hair Curls to the Non-linear Response of Shells
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 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 thisbook, 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, thegeometric 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 concreteintroduction to nonlinear methods in analysis.
Authors: Audoly, B., Pomeau, Yves
Resource Type: eBook.
Subjects: Elasticity--Mathematics
Categories: TECHNOLOGY & ENGINEERING / Reference, TECHNOLOGY & ENGINEERING / Engineering (General)
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 215717
RelevancyScore: 1031
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1031.17456054688
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  Data: Elasticity and Geometry : From Hair Curls to the Non-linear Response of Shells
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  Label: Description
  Group: Ab
  Data: 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 thisbook, 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, thegeometric 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 concreteintroduction to nonlinear methods in analysis.
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 620.1
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Elasticity--Mathematics
        Type: general
    Titles:
      – TitleFull: Elasticity and Geometry : From Hair Curls to the Non-linear Response of Shells
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Audoly, B.
      – PersonEntity:
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            NameFull: Pomeau, Yves
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            NameFull: Audoly, B.
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            NameFull: Pomeau, Yves
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2010
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780198506256
            – Type: isbn-electronic
              Value: 9780191545023
          Titles:
            – TitleFull: Elasticity and Geometry : From Hair Curls to the Non-linear Response of Shells
              Type: main
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