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Elementary Continuum Mechanics for Everyone

by Byskov, Esben.
Authors: SpringerLink (Online service) Series: Solid Mechanics and Its Applications, 0925-0042 ; . 194 Physical details: XXX, 593 p. 213 illus. online resource. ISBN: 9400757662 Subject(s): Engineering. | Engineering mathematics. | Materials. | Mechanical engineering. | Engineering. | Continuum Mechanics and Mechanics of Materials. | Mechanical Engineering. | Appl.Mathematics/Computational Methods of Engineering.
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E-Book E-Book AUM Main Library 620.1 (Browse Shelf) Not for loan

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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