服从二次曲线型莫尔准则的塑性平面应变滑移线场理论

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Slip-Line Field Theory of Plane Plastic Strain Dealing with Mohr’s Criterion Expressed by Quadratic Limiting Curves

摘要: 本文初步建立了服从二次曲线型莫尔准则的塑性平面应变滑移线场理论,它以经典的滑移线场理论作为其特例,它可用于金属加工、岩土力学和构造力学平面应变问题的分析.作为初步应用,用数值解确定了半无限体受刚模压入问题的滑移线场及极限载荷,还确定和分析了斜坡层状介质重力滑动问题的滑移线场.

Abstract: In this paper, the slip-line field theory of plane plastic strain dealing with Mohr's criterion expressed by quadratic limiting curves is preliminarily established. It takes the classical slip-line field theory as its special case, and it can be applied to the analysis of plane-strain problems in metal processing, rock and soil mechanics and tectonomechanics. As preliminary application, the slip-line field and limiting loads of flat punch indenting problem are determined by numerical solution, and the slip-line field of bedded medium gravity-sliding problem is determined and discussed.

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