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ALE (ArbitraryLagrangian Eulerian)有限元方法中 ,网格划分是在参考构形中进行的 ,网格独立于物体和空间运动 ,可以根据需要自由选取。因此 ,ALE有限元避免了La grangian有限元中的网格畸变 ,又克服了Eulerian有限元中难以描述自由边界的不足。对ALE有限元用于分析塑性加工过程进行了探讨 ,并利用Galerkin方法 ,推导了离散形式的求解方程。最后的数值算例验证了该算法的有效性。
In the ALE (ArbitraryLagrangian Eulerian) finite element method, meshing is performed in a reference configuration that is independent of object and space motion and can be freely chosen as needed. Therefore, the ALE finite element avoids the grid distortion in the La grangian finite element and overcomes the limitation of the difficulty of describing the free boundary in the Eulerian finite element. The finite element method of ALE was used to analyze the plastic working process. The Galerkin method was used to derive the discrete equation solving equation. Finally, a numerical example verifies the effectiveness of the algorithm.