STRESSES IN THE REGION OF ROUNDED CORNERS
STRESSES IN THE REGION OF ROUNDED CORNERS
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DOI：
10.1016/0020-7683(87)90057-6
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发表时间：
1987-01-01
影响因子：
3.6
通讯作者：
BENTHEM, JP
中科院分区：
文献类型：
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作者：
BENTHEM, JP
裂纹前沿周围（即角度 α = 2π 的“楔形”）的 I 型应力状态由应力强度因子 KI 明确定义。应力σy=K1/√(2πr)在顶点r = 0处变得无穷大。已知，如果尖锐裂纹以相对于裂纹长度和其他尺寸较小的半径ρ倒圆，则应力σy的最大值仅变为σy=K1/√(πρ)。通过积分方程的数值求解，给出了任意角度 π < α < 2π 楔形在模态 I、II 和 III 状态下的相应结果。通过与模式Ⅲ精确解的比较验证了该方法的有效性。对于模式 I 和 II 来说，这样的精确解是不可能的。
The mode I state of stress around a crack front, i.e. in a “wedge” of angleα= 2π, is well defined by the stress intensity factorKI. The stressσy=K1/√(2πr) becomes infinite at the vertex r = 0. It is known that if the sharp crack is rounded by a radius ρ, small with respect to crack length and other dimensions, the maximum value for the stressσyonly becomesσy=K1/√(πρ). By numerical solution of integral equations corresponding results are given for wedges of arbitrary angles π < α < 2π in state of modes I, II and III. The method was verified by comparison with the exact solution for mode III. Such an exact solution is not possible for modes I and II.