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Elementary Continuum Mechanics for Everyone [electronic resource] : With Applications to Structural Mechanics / by Esben Byskov.

By: Byskov, Esben [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Solid Mechanics and Its Applications: 194Publisher: Dordrecht : Springer Netherlands : Imprint: Springer, 2013Description: XXX, 593 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9789400757660.Subject(s): Engineering | Applied mathematics | Engineering mathematics | Continuum mechanics | Mechanical engineering | Engineering | Continuum Mechanics and Mechanics of Materials | Mechanical Engineering | Appl.Mathematics/Computational Methods of EngineeringAdditional physical formats: Printed edition:: No titleDDC classification: 620.1 Online resources: Click here to access online
Contents:
Preface -- Introduction -- I Continuum Mechanics -- II Specialized Continua -- III Beams with Cross-Sections and Plates with Thickness -- IV Buckling -- V Introduction to the Finite Element Method -- VI Mathematical Preliminaries -- Index.
In: Springer eBooksSummary: The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids. Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams and plates, and finite element methods for these structures. A formulation in terms of the versatile Budiansky-Hutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an in-depth treatment of structural instability.
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Preface -- Introduction -- I Continuum Mechanics -- II Specialized Continua -- III Beams with Cross-Sections and Plates with Thickness -- IV Buckling -- V Introduction to the Finite Element Method -- VI Mathematical Preliminaries -- Index.

The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids. Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams and plates, and finite element methods for these structures. A formulation in terms of the versatile Budiansky-Hutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an in-depth treatment of structural instability.

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