A fast local nonlinear solution technique based on the partitioned finite element and interface element method

作者：Qi, Huijun; Li, Tongchun^*; Liu, Xiaoqing; Zhao, Lanhao; He, Jinwen; Li, Xiaona

来源：International Journal for Numerical Methods in Engineering, 2022, 123(10): 2214-2236.

DOI：10.1002/nme.6933

• arch dam
• contact nonlinearity
• displacement decomposition
• efficient solving method
• local nonlinearity
• PFE-IE

In this study, a fast partitioned solution method that considers contact nonlinearity and local material nonlinearity based on the partitioned finite element and interface element method is proposed. Combined with the local failure characteristics of hydraulic structures such as arch dams, the stiffness matrices of the linear and nonlinear regions of the structure are decomposed to reduce the size of the overall stiffness matrix. Furthermore, in the nonlinear iteration, only the stiffness matrix of the nonlinear partition is modified, thereby reducing the calculation amount of the overall solution and improving the solution efficiency. The results show that our proposed method exhibits improved solution speed and stability while achieving the same solution accuracy.

• 单位
  河海大学; 1