Basic Kinematics

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


In the preceding chapter, we discussed the geometric properties of the present configuration κt under the assumption that the parameter t describing temporal changes of the body is kept fixed. That is, the motion function \(\vec \chi \) is considered to be a deformation map \(\vec \chi (\cdot ,t)\). Now, we turn our attention to the problem in the case of motion, that is, where the function \(\vec \chi \) is treated as the map \(\vec \chi (\vec X,\cdot )\) for a fixed point \(\vec X\). We assume that the mapping \(\vec \chi (\vec X,\cdot )\) is twice differentiable.

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© 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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