一种考虑剪切变形影响的厚薄板通用单元

A CURRENT FINITE ELEMENT OF THICK AND THIN PLATE OF THINKING THE EFFECT OF SHEAR DEFORMATION

依据深梁理论,推导了厚板在平面应变状态下考虑剪切影响的剪切因子λ,并构造了厚薄板通用单元.在薄板极限情况下,这种厚薄板通用单元自动退化为原来的薄板单元,消除了剪切闭锁现象.算例结果表明,文中构造的厚薄板单元的计算精度较高,有一定的实用性.

In this paper, according to the theory of deep beam, the shear factor A of thick plate under plain strain thinking of the effect of shear is derived and a current finite element of thick and thin plate is derived also. When the plate thickness approaches to the limit of thin plates, the current element degenerates to the thin plate element automatically, so that the shear locking phenomenon will not appear. The computational results indicates that the current element has high-accuracy and good usefulness.