A CONTINUUM THEORY OF SURFACE GROWTH
N. Hodge and P. Papadopoulos
Proc. Royal Soc. London A, 466, pp. 3135-3152, (2010)
Abstract
A continuum theory of surface growth in deformable bodies is presented. The
theory employs a decomposition of the deformation and growth processes, which
leads to a well-posed set of governing equations. It is argued that an
evolving reference configuration is required to track the material points in
the body. The balance laws are formulated with respect to a non-inertial frame
of reference, which is used to track the motion of the body. A one-dimensional
example problem is included to showcase the predictive capacity of the theory.
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