增补转角场和剪应变场的厚薄板通用矩形单元

Thick/Thin Rectangular Plate Element with Complementary Rotation and Shear Strain Fields

提出了建立厚薄板弯曲单元的新方法 ,它是利用已有优质薄板单元模式 ,并增补厚板单元的剪应变场和转角场的方式得到厚薄板弯曲通用单元 .采用此方法导出的 3个 ( 1 2个自由度 )厚薄板通用矩形元具有良好的计算精度和收敛性 ,且不产生剪切闭锁现象 .

In this paper, a new scheme to formulate the 12 DOF rectangular element for analyzing of the thin and thick plates was proposed. In this method, a thin plate bending element was first formulated based on Kirchhoff theory; The shear strain and complementary rotation fields were then included in the element so that it was valid for the analysis. The result shows that as the plate become progressively thinner, the shear strain and complementary rotation fields approach zero automatically, and the element is free of shear locking. Three 12 DOF rectangular thin and thick plate bending elements were formulated by this method. Numerical examples indicate that these elements have the advantages of high accuracy, good convergence and stability.