理想塑性固体中逐步扩展裂纹的弹塑性场
Elastic-Plastic Fields near Crack Tip Growing Step-by-Step in a Perfectly Plastic Solid
-
摘要: 本文从三维的塑性流动理论出发,导出了关于理想塑性固体平面应变问题的基本方程。利用这些方程,分析了不可压缩理想塑性固体的逐步扩展裂纹顶端的弹塑性场。得到了关于应力和速度的一阶渐近场。分析了弹性卸载区的演变过程和中心扇形区的发展过程。预示了出现二次塑性区的可能性。最后给出了关于应力场二阶渐近分析。Abstract: In this paper, based on the three-dimensional flow theory of plasticity, the fundametal equations for plane strain problem ofelastic-perfectly plastic solids are presented. By using these equations the elastic-plastic fields near the crack tip growing step-by-step in an elastic incompressible-perfectly plastic solid are analysed.The first order asymptotic solutions for the stress field and velocity fields near the crack tip are obtained. The solutions show the evolution process of elastic unloading domain and the development process of central fan domain and reveal the possibility of the presence of the secondary plastic domain. The second order asymptotic solution for stress field is also presented.
-
[1] Irwin,G.R.,J.A.M.,24(1957),361-364. [2] William,M.L.,J App.Mech.,24(1957),109-114. [3] Rice,J.R.,Fracture,Vol.Ⅱ,Chapter 3(1968). [4] Cherepanov,G.P.,Mechanics of Brittle Fraciure,Nauka,Moscow(1974). [5] Слепя Л.И.,Механuка Теер.Тела,9(1974),57-67. [6] Rice,J.R.,W.J.Drugan and T.L.Sham,Fracture Mechanics,ASTM STP700,189-219. [7] 高玉臣,理想塑性介质中裂纹定常扩展的弹塑性场,力学学报,(1980), 48-56. [8] Drugan,W.J.,J.R.Rice and T.L.,Sham,J.Mech.Phys.solids,306(1982),447-473. [9] 高玉臣(Gao,Y.C).,The influence of compressibility on elastic plastic field of a growing crack,Elastic-plastic Fracture,ASTM-STP 803,176-190. [10] 王自强,理想塑性体扩展裂纹的平面应变问题,中国科学(待发表) [11] 黄克智、高玉臣,断裂力学中裂纹尖端奇异场,力学进展,14, 4(1984), 405-414. -
计量
- 文章访问数: 1710
- HTML全文浏览量: 54
- PDF下载量: 583
- 被引次数: 0
下载:
渝公网安备50010802005915号