On deformation-gradient tensors as two-point tensors in curvilinear coordinates
Classical Physics
2018-07-13 v1 Geophysics
Abstract
We derive a general expression for the deformation-gradient tensor by invoking the standard definition of a gradient of a vector field in curvilinear coordinates. This expression shows the connection between the standard definition of a gradient of a vector field and the deformation gradient tensor in continuum mechanics. We illustrate its application in the context of problems discussed by Ogden [1997].
Keywords
Cite
@article{arxiv.1807.04624,
title = {On deformation-gradient tensors as two-point tensors in curvilinear coordinates},
author = {Andrey Melnikov and Michael A. Slawinski},
journal= {arXiv preprint arXiv:1807.04624},
year = {2018}
}