• Corpus ID: 119189076

Exact solution for growth-induced large bending deformation of a hyperelastic plate

  title={Exact solution for growth-induced large bending deformation of a hyperelastic plate},
  author={Jiong Wang and Qiong Wang and Hui-Hui Dai},
  journal={arXiv: Classical Physics},
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… 
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