Abstract
The deformations of a body considered as a classical continuum can be derived from the description of the motion of the material points against a suitably defined space of observation furnished with a space-fixed rigid coordinate system. We can, however, also describe these deformations by considering the changes of the metric of a body-fixed coordinate system which is co-moving and co-deforming with the body.Both methods are in principle equivalent. We shall see, however, that the use of a body-fixed coordinate system may have some advantages at least for the definition of constitutive laws. Therefore we shall begin with some considerations concerning the use of space-fixed and body-fixed coordinate systems.
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Lehmann, T. (1984). General Frame for the Definition of Constitutive Laws for Large Non-Isothermic Elastic-Plastic and Elastic-Visco-Plastic Deformations. In: Lehmann, T. (eds) The Constitutive Law in Thermoplasticity. CISM International Centre for Mechanical Sciences, vol 281. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2636-3_8
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DOI: https://doi.org/10.1007/978-3-7091-2636-3_8
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