  In this paper, the growth-induced bending deformation of a thin hyperelastic
plate is studied. For a plane-strain problem, the governing PDE system is
formulated, which is composed of the mechanical equilibrium equations, the
constraint equation and the boundary conditions. By adopting a gradient growth
field with the growth value changes linearly along the thickness direction, the
exact solution to the governing PDE system can be derived. With the obtained
solution, some important features of the bending deformation in the plate can
be found and the effects of the different growth parameters can be revealed.
This exact solution can serve as a benchmark one for testing the correctness of
numerical schemes and approximate plate models in growth theory.
