• Corpus ID: 119189076

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

@article{Wang2017ExactSF,
  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},
  year={2017}
}
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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On a consistent finite-strain plate theory of growth

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TLDR
The purpose of this paper is to review a few of the many achievements in the biomechanics of soft tissues and the tools that allowed them, but, more importantly, to identify some of the open problems that merit increased attention from those in applied mechanics, biomechanic, mathematics and mechanobiology.
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