Elementary Continuum Mechanics for Everyone
With Applications to Structural Mechanics
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Beschreibung
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.
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.
The principle of virtual work is used to establish consistent theories of kinematic nonlinearity and linearity for other kinds of bodies, such as beams and plates An in-depth treatment of structural instability as many structures fail due to this phenomenon An introduction to the most versatile numerical method, the finite element method, including means of mending inherent problems An informal, yet precise exposition that emphasizes not just how a topic is treated, but discusses why a particular choice is made Includes supplementary material: sn.pub/extras
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Esben Byskov
Themen in »Elementary Continuum Mechanics for Everyone«
Continuum Mechanics Finite Element Method General Principles Principle of Virtual Work Stability
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From the book reviews:
“This book provides an introduction to continuum mechanics with applications of engineering interest. Engineering students are potential readers. The presentation is organized into six parts.” (Raffaele Barretta, Mathematical Reviews, April, 2014)()