服从二次曲线型莫尔准则的塑性平面应变滑移线场理论
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.
-
[1] Sobotka, Z., The limiting equilibrium of non-homogeneous soils, Non-homogeneity in Elasticity and Plasticity, Olszak, W. (ed.) (1959), 227-240. [2] Salencon, J., Application of the Theory of Plasticity in Soil Mechanics, John Wiley and Sons, Chinchester (1977). [3] 王仁、熊祝华、黄文彬,《塑性力学基础》,科学出版社(1982). [4] Michalowski, R.L., On the solution of plane flow of granular media for jump nonhomogeneity, Int. J. Numerical and Analytical Methods in Geomechanics, 7 (1983), 485-492. [5] 王维襄、韩玉英,《棋盘格式构造的力学分析》,地质力学论丛,第一号,地质出版社(1977). [6] 李先炜,《岩块力学性质》,煤炭工业出版社(1983). [7] 于学馥、郑颖人、刘怀恒、方正昌,《地下工程围岩稳定分析》,煤炭上业出版社(1983). [8] 赵家谊、薛大为,屈眼条件由应力张量的二次齐次函数与一次齐次函数之和来表达的极限分析定理,应用数学和力学,4, 4 (1983), 441-452. [9] 卡恰诺夫,《塑性理论基础》,(1971), 周承调译,人民教育出版社(1982). [10] 太沙基,K.,《理论土力学》,(1943),涂志英译,地质出版社(1960). [11] Crans, W., G.Mandl and J.Harembourc, On the theory of growth faulting: a geomechanical delta model based on gravity Sliding, J. Pet. Geol., 2, 3 (1980), 265-307. [12] 陈强,重力构造的力学研究—铲式断层的力学分析,地震地质,(1986). -
点击查看大图
计量
- 文章访问数: 1850
- HTML全文浏览量: 106
- PDF下载量: 480
- 被引次数: 0
下载:
