A modified Hellinger-Reissner variational functional including only two independent variables for large displacement of thin shallow shell

作者：Qian, RL^*

来源：Applied Mathematics and Mechanics (English Edition ), 1997, 18(7): 663-670.

• variational principle
• shallow shell
• large displacement
• finite element method

The variational functional of the Hellinger-Reissner variational principle for the large displacement problem of a thin shallow shell with an arbitrary shape is first established. Then the functional of the modified principle suitable for the finite element method is derived. In the functional only two independent variables, the deflection w and the stress function F are included. The displacement expressions in the middle surface on the boundary of the shell is also derived by means of the previous two variables.

• 出版日期1997-7
• 单位上海交通大学