Bodies, Deformations, and Strain Measures

Paolo Maria Mariano and Luciano Galano
Additional contact information
Paolo Maria Mariano: University of Florence, DICeA
Luciano Galano: University of Florence, DICeA

Chapter Chapter 1 in Fundamentals of the Mechanics of Solids, 2015, pp 1-67 from Springer

Abstract: Abstract In this chapter we analyze the kinematics of continuous bodies with shape described just by the place they occupy in Euclidean three-dimensional point space. We discuss the large-strain regime and derive small-strain measures and the representation of rigid changes of places as special cases of deformation. We interpret strain measures in terms of spatial and referential metrics and distinguish between contravariant and covariant components of the tensors involved, introducing by stages a language useful to further developments going far beyond the limits of this book. We also discuss motions in actual (Eulerian) and referential (Lagrangian) representations. We include in this chapter several related exercises.

Keywords: Rigid Change; Reference Place; Small Strain Regime; Simple Torsion Pendulum; Rotation Center (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-3133-0_1

Ordering information: This item can be ordered from
http://www.springer.com/9781493931330

DOI: 10.1007/978-1-4939-3133-0_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().