2017/10/09 by Jiong Wang, Wang, Jiong, Qiongyu Wang +4
Computer Science · Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #Contact Mechanics and Variational Inequalities #Elasticity and Material Modeling #Elasticity and Wave Propagation #FOS: Physical sciences #physics.class-ph
paper · pdf · doi:10.48550/arxiv.1710.03120
arxiv created 2017/10/09 · openalex publication_date 2017/10/09 · arxiv updated 2017/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.