By analyzing the relationship between Reissner’s and Kirchhoff’s plate theories, a new solution for Reissner’s plate bending is presented in this paper, where the perturbation method is applied to deduce Reissner’...By analyzing the relationship between Reissner’s and Kirchhoff’s plate theories, a new solution for Reissner’s plate bending is presented in this paper, where the perturbation method is applied to deduce Reissner’s plate problem into a series of Kirchhoff’s one which is easy to solve. An example is given to show that the method presented is simple and of high accuracy.展开更多
In this paper, we extend two rectangular elements for Reissner-Mindlin plate [9] to the quadrilateral case. Optimal H and L error bounds independent of the plate hickness are derived under a mild assumption on the mes...In this paper, we extend two rectangular elements for Reissner-Mindlin plate [9] to the quadrilateral case. Optimal H and L error bounds independent of the plate hickness are derived under a mild assumption on the mesh partition.展开更多
The mean-value theorem of Reissner’s plate is first presented and proved. Letting Cs and Cn approach infinite, the mean-value theorem of elastic thin plate can be obtained.
文摘By analyzing the relationship between Reissner’s and Kirchhoff’s plate theories, a new solution for Reissner’s plate bending is presented in this paper, where the perturbation method is applied to deduce Reissner’s plate problem into a series of Kirchhoff’s one which is easy to solve. An example is given to show that the method presented is simple and of high accuracy.
基金Subsidized by the Special Funds for Major State Basic Research Projects G1999032804.
文摘In this paper, we extend two rectangular elements for Reissner-Mindlin plate [9] to the quadrilateral case. Optimal H and L error bounds independent of the plate hickness are derived under a mild assumption on the mesh partition.
文摘The mean-value theorem of Reissner’s plate is first presented and proved. Letting Cs and Cn approach infinite, the mean-value theorem of elastic thin plate can be obtained.
