余能原理基面力元法在重力坝应力分析中的应用

介绍了二维线弹性问题的余能原理基面力元法。该方法以基线力表征物体的受力状态,以其对偶量位移梯度表征物体的变形状态。通过重力坝算例与平面4节点等参元(Q4模型)和平面4节点减缩积分单元(Q4R模型)的对比分析,探讨了基面力元法应用于重力坝应力分析的可行性。数值分析结果表明,基于余能原理的基面力元法具有较高的计算精度,可以应用于重力坝应力分析问题,有较广阔的应用前景。

Application of complementary energy principle based base force element method in stress analysis of gravity dam

The complementary energy principle based base force element method(BFEM)for two-dimensional linear elastic problems is presented.It uses baseline forces as fundamental variables to characterize the stress state of objects,and uses dual displacement gradient to characterize the deformation.In this paper,some examples about gravity dam are compared with 4-node plane isoperimetric element(Q4model)and 4-node plane reduced-integration element(Q4Rmodel),exploring the feasibility of base force application element method in stress analysis of gravity dam.The results show that the base force element method based on complementary energy principle has higher accuracy and can be applied to stress analysis of gravity dam.It has wide application extension.