4 papers
The linearized Kirchhoff theory for plates with incompatible prestrain
Yizhao Qin, Pengfei Yao
In this paper, we derive a linearized Kirchhoff model from three dimensional nonlinear elastic energy of plates with incompatible prestrain as its thickness tends to zero and i…
Energy decay and global smooth solutions for a free boundary fluid-nonlinear elastic structure interface model with boundary dissipation
Yizhao Qin, Pengfei Yao
We consider a nonlinear, free boundary fluid-structure interaction model in a bounded domain. The viscous incompressible fluid interacts with a nonlinear elastic body on the common…
The time-dependent von Kármán shell equation as a limit of three-dimensional nonlinear elasticity
Yizhao Qin, Pengfei Yao
The asymptotic behaviour of solutions of three-dimensional nonlinear elastodynamics in a thin shell is considered, as the thickness of the shell tends to zero. Given the approp…
Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity
Yizhao Qin, Pengfei Yao
We cope with a free boundary fluid-structure interaction model. In the model, the viscous incompressible fluid interacts with elastic body via the common boundary. The motion of th…