Abstract
In the previous chapter we discussed the geometrical properties of a chosen current configuration Bt under the assumption that the parameter t describing time changes of the body is kept constant, i.e. the diffeomorphism f(·,t) was considered as a deformation map f(·, t). Now we turn our attention to problems arising in the case of motion, i.e. the diffeomorphism f is discussed as the map f(X,·) for a chosen point X∈B0. We assume that f(X,·) is twice differentiable. Then
, is called the velocity at the material point X, and
,is the acceleration at the material point X.
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© 1998 Springer-Verlag Berlin Heidelberg
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Wilmański, K. (1998). Kinematics. In: Thermomechanics of Continua. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58934-8_3
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DOI: https://doi.org/10.1007/978-3-642-58934-8_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63797-1
Online ISBN: 978-3-642-58934-8
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