实际工程有限元计算中涉及多个物理场的相关分析或耦合分析时场变量之间的数据传递问题非常重要,往往会遇到等参逆变换的需求。分析并指出现有等参逆变换所存在问题,给出了新的改进算法,即在网格内采用新方法进行等参逆变换,在网格外采用距离加权法进行插值传递,并详细说明本算法实施关键。对一大型拱坝施工过程中的温度场和应力应变场耦合分析问题进行研究,结果表明所提出方法具有简便实用、高效和满足工程精度等特点,可应用于实际工程。
In practical engineering calculation, data transfer between different mesh fields plays an important role in coupled analysis and the method of inverse mapping is required. The paper introduces the available methods of inverse mapping in the literatures and points out the deficiencies of the above methods. Then the method of FEM inverse isoparametric mapping inside the mesh is newly improved and the renewed method of data transfer outside the mesh is introduced. With the detailed introduction of the key problem of programming, the example of the data transfer procedure of temperature field to the stress and strain field in a high arch dam construction process is presented; it is shown that the reliable and accurate results can be achieved with the new method; and this method is simple, efficient and accurate, so as to be used in actual projects conveniently.