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介绍了利用双三次 Bézier曲面块对模具表面进行拟合的方法 ,对模具表面和变形体表面采用 Bézier曲面进行了统一的描述 .提出了在刚塑性有限元模拟中相应的变形体边界自由节点与模具表面的接触算法以及摩擦边界条件的施加算法 .Bézier曲面的应用使有限元模拟系统中的模具描述更接近于实际模具造型 .模具表面与变形体表面的统一描述 ,简化了触模算法以及摩擦条件施加算法的数学计算 .而触模算法以及摩擦条件施加算法的实现 ,使拟合的曲面能够在数值模拟软件中直接应用而不需要再次转化 ,从而保证了模拟的精度 .
In this paper, the method of fitting the mold surface with bi-cubic Bézier surfaces is introduced, and the Bézier surface is described uniformly on the surface of the mold and the surface of the deformed body.The corresponding free-form nodes in the rigid-plastic finite element simulation The contact surface of the mold and the application of friction boundary conditions.The application of the Bézier surface makes the description of the mold in the finite element simulation system closer to the actual mold design.The uniform description of the mold surface and the deformed body simplifies the touch algorithm and the friction Condition calculation algorithm, and the touch algorithm and the implementation of the friction condition algorithm, the fitting surface can be directly applied in the numerical simulation software without the need to re-conversion, thus ensuring the accuracy of the simulation.