, Volume 51, Issue 12, pp 2949–2955 | Cite as

Shape change and deformation

  • Michel Frémond
50th Anniversary of Meccanica


The shape of a system of solids can change: the solids of the system can deform and their relative positions can change. The description of the changes is not fixed once for all. There are many ways to quantify the shape changes, i.e., to define the velocities of deformation. These velocities of deformation are important because they introduce the internal forces with their power, the power of the internal forces. We give two example: in the first one we consider the system made of two rigid solids, in the second one we consider a solid with large deformation. Observation leads us to define new velocities of deformation useful to predict the smooth and the the non-smooth motion of solids and systems of solids.


Continuum mechanics Shape change Deformation Internal forces Large deformations Collisions Flattening Principle of virtual power Equations of motion Constitutive laws 


Compliance with ethical standards

Conflict of interest

The author declares that he has no conflict of interest.


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Laboratorio Lagrange, Dipartimento di Engegneria Civile e Computer ScienceUniversità di Roma “Tor Vergata”RomeItaly

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