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提出了一个弹性模具薄板冷弯成形力学模型和相应的解法，并作了实例的数值分析。根据薄板与弹性体和椭圆冲头的接触情况，薄板可分成三部分。应用薄板的大挠度和接触力学理论，分别推出了各部分相应控制方程的解析解；然后根据对应的协调关系，用迭代法求出薄板的内力和接触应力的分布。该力学模型的主要优点是前提假定较少和整个求解过程物理意义明确。计算分析表明，本模型预测弹性模具上冷弯成形薄板的内力和接触应力十分有效。
A mechanics model of cold forming of elastic mold plate and its corresponding solution are proposed, and numerical examples are given. Depending on the contact of the plate with the elastomer and the oval punch, the plate can be divided into three sections. According to the theory of large deflection and contact mechanics, the analytic solutions of the corresponding control equations of each part are deduced respectively. Then, according to the corresponding coordination relationship, the distribution of the internal force and the contact stress is obtained by iteration method. The main advantages of this mechanical model are the less presupposed assumptions and the clear physical meaning of the whole solution process. The calculation and analysis show that this model is very effective in predicting the internal force and contact stress of the cold formed sheet on the elastic mold.