Let us consider an infinitesimal vector dX in the reference configuration of a material body and its counterpart dx in the current configuration. By virtue of the representation for the deformation gradient (2.67) we get (Formula Presented). Thus, the deformation gradient F maps every infinitesimal vector from the reference configuration to the current one by dx = FdX.
CITATION STYLE
Itskov, M. (2019). Applications to continuum mechanics. In Mathematical Engineering (pp. 195–215). Springer Verlag. https://doi.org/10.1007/978-3-319-98806-1_8
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