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一、引言近二、三十年以来,许多学者成功地应用了滑移线场理论对刚全塑材料平面应变问题的求解。滑移线场理论完整,数学严谨,与其他塑性成形力学方法相比能给出较多信息——变形区分布,塑变区内各点应力分布和速度分布,接触面上应力分布,等静压力迹线等。滑移线场求解的前提首先是建立能够满足力学和速度边界条件的滑移线场(网络)。对比较简单的问题,定性地给出可能的滑移线场模式并不困难(有许多前例可供参考)。
I. INTRODUCTION Since the past two or three decades, many scholars successfully applied the theory of slip line field to solve the plane strain problem of just plastic material. Slipline field theory is complete and rigorous in mathematics, which gives more information than other methods of plastic forming mechanics - deformation zone distribution, stress distribution and velocity distribution at various points in the plastic deformation zone, stress distribution on the contact surface, isostatic Pressure trace and so on. The premise of solving the slip-line field first is to establish a slip-line field (network) that can satisfy the mechanics and velocity boundary conditions. For relatively simple problems, it is not difficult to qualitatively give possible slip line field patterns (there are many previous examples for reference).