Geometric continuum mechanics and induced beam theories [electronic resource] / Simon R. Eugster.

Unlimited

Authorized users

Can lend chapters, not whole ebooks

Geometric continuum mechanics and induced beam theories [electronic resource] / Simon R. Eugster.

9783319164953 electronic book
3319164953 electronic book
9783319164946

Cham : Springer, [2015]

©2015

English

1 online resource : illustrations.

10.1007/978-3-319-16495-3 doi

TA492.G5

624.17723

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.

Includes bibliographical references and index.

Access limited to authorized users.

Description based on online resource; title from PDF title page (viewed March 30 2015).

Lecture notes in applied and computational mechanics ; v. 75.

Print version: 9783319164946

Online Resources > Ebooks
All Resources