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Materials - Mechanics | Elementary Continuum Mechanics for Everyone

Elementary Continuum Mechanics for Everyone

With Applications to Structural Mechanics

Byskov, Esben

2013, XXX, 593 p. 213 illus.

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  • 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
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.

Content Level » Research

Keywords » Continuum Mechanics - Finite Element Method - General Principles - Principle of Virtual Work - Stability

Related subjects » Computational Intelligence and Complexity - Mechanical Engineering - Mechanics

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