Geometric Continuum Mechanics and Induced Beam Theories

Geometric Continuum Mechanics and Induced Beam Theories
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146
By:"Simon Eugster"
"Technology & Engineering"
Published on 2015-03-19 by Springer

P. Villaggio, Mathematical Models for Elastic Structures (Cambridge University \u003cbr\u003e\nPress, Cambridge, 2005) 58. O.A.Bauchau,J.I.Craig,Structural Analysis: With \u003cbr\u003e\nApplications to \u003cb\u003eAerospace Structures\u003c/b\u003e, \u003cb\u003eSolid Mechanics\u003c/b\u003e and its Applications, vol. \u003cbr\u003e\n163 ...

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This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.

This Book was ranked 19 by Google Books for keyword Introduction to Solid Mechanics and Aerospace Structures.

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