On deformation-gradient tensors as two-point tensors in curvilinear coordinates

2018/07/07 by А. А. Мельников, Melnikov, Andrey, Michael A. Slawinski +1
Engineering · Materials Science · #Elasticity and Material Modeling #Nonlocal and gradient elasticity in micro/nano structures

paper · pdf · doi:10.48550/arxiv.1807.04624

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].

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