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Geometry of Deformation

  • Zdeněk Martinec
Chapter
Part of the Nečas Center Series book series (NECES)

Abstract

A deformation, in general, is a change in the shape or size of a body caused by the application of a force. Within the context of continuum mechanics, deformation is understood as the transformation of a body from one configuration to another. In the first two chapters, we will study deformation in terms of a pure geometrical description of changes in the shape of a body, regardless of the forces causing it. In this chapter, we confine our attention to two configurations without any regard for the sequence by which the second configuration is reached from the first. Both configurations are kept fixed in time and their geometrical relationship is described as a three-dimensional spatial mapping between them.

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Zdeněk Martinec
    • 1
    • 2
  1. 1.Faculty of Mathematics and PhysicsCharles University in PraguePragueCzech Republic
  2. 2.Dublin Institute for Advanced Studies Geophysics SectionDublinIreland

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