SMALL SCALE YIELDING NEAR A CRACK IN PLANE STRAIN - FINITE ELEMENT ANALYSIS
SMALL SCALE YIELDING NEAR A CRACK IN PLANE STRAIN - FINITE ELEMENT ANALYSIS
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DOI：
10.1007/bf00183802
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发表时间：
1971-01-01
期刊：
影响因子：
--
通讯作者：
RICE, JR
中科院分区：
文献类型：
--
作者：
LEVY, N;MARCAL, PV;RICE, JR
本文提出了非硬化材料平面应变下裂纹附近小范围屈服问题的弹塑性增量有限元解。重点放在有限元的设计，允许精确再现，在数值解中，裂纹尖端应力和应变场的详细结构，从以前的分析研究裂纹尖端奇异性。数值结果：位置的弹塑性边界，角分布的应变奇异性的强度，裂纹尖端张开位移，应力分布提前裂纹，和角变化的应力在尖端。后者的结果验证了Rice对Prandtl场的预测，即当r → 0时，给出了极限应力分布。
This paper presents an incremental elastic-plastic finite element solution to the problem of small scale yielding near a crack in plane strain for a non-hardening material. Emphasis is placed on the design of finite elements which allow accurate reproduction, in a numerical solution, of the detailed structure of the near crack tip stress and strain fields, as understood from previous analytical studies of crack tip singularities. Numerical results are presented for: location of the elastic-plastic boundary, angular distribution of the strength of the strain singularity, crack tip opening displacement, stress distribution ahead of the crack, and angular variation of stresses at the tip. The latter results verify Rice's prediction of the Prandtl field in providing the limiting stress distribution asr→ 0.