基于拟全量理论的多步正向成形模拟方法

THE MULTI-STEP POSITIVE APPROACH FOR SHEET METAL FORMING SIMULATION BASED ON THE QUASI-DEFORMATION THEORY

  • 摘要: 在全量理论的基础上,引入增量思想,构建了多步正成形算法。其基本原理是在一步正成形的基础上,适当增加了若干个中间步,依次计算各中间步之间的应变改变量,并以分量形式累加到当前步的总应变,基于全量理论进行Newton-Raphson迭代计算,并将计算结果以应变分量的形式累加到下个中间步计算中,计算对应的弹塑性本构矩阵,从而在计算过程中体现加载历史的影响,提高了最终的模拟结果精度。设计了方盒件多行程实验方案,采用电腐蚀方法在初始坯料上刻上圆形网格,进行了10 mm、20 mm、30 mm、40 mm、50 mm五个不同行程的方盒件成形实验。利用光学方法测量网格变形量并推算出网格应变量,使用超声测厚仪测量板料不同行程的厚度变化量。通过几种不同算法在计算精度和计算效率上的对比,证明了多步正成形算法的有效性。

     

    Abstract: The idea of incremental theory is introduced to propose a multi-step positive approach based on deformation theory. The basic principle is that on the basis of one step positive approach, several intermediate states are added properly, and the strain increments in each state are calculated in sequence. The iterative solutions are carried out using the Newton-Raphson method in the total form which is generated by accumulating the strain increments in the form of component. The calculation result is accumulated into the calculation in the next intermediate state in the form of strain component to calculate the corresponding elastoplastic constitutive matrix. Thus the influence of load history can be taken into account during the calculation, and the precision of the final simulation result can be improved. The multi-step experimental scheme of square box is designed. The circular elements are marked on the flat blank using electric corrosion method. Five square box samples of different steps including 10mm, 20mm, 30mm, 40mm, 50mm are achieved. The deformation of element is measured by optical measurement, and then the strain can be calculated. The thickness of blank in different steps is measured using ultrasonic thickness gauge. Through comparison of the calculation precision and calculation efficiency among several different algorithms, the multi-step forming positive algorithm is proved valid.

     

/

返回文章
返回