高速扩展裂纹尖端的各向异性塑性应力场 |
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引用本文: | 林拜松.高速扩展裂纹尖端的各向异性塑性应力场[J].应用数学和力学,1988,9(1):31-36. |
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作者姓名: | 林拜松 |
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作者单位: | 中南工业大学 |
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摘 要: | 在理想弹塑性材料中,高速扩展裂纹尖端的应力分量都只是θ的函数.利用这个条件以及定常运动方程、应力应变关系与Hill各向异性屈服条件,我们得到反平面应变和平面应变两者的一般解.将这两个一般解分别用于扩展Ⅲ型裂纹和Ⅰ型裂纹,我们就求出了Ⅱ型裂纹和Ⅰ型裂纹的高速扩展尖端的各向异性塑性应力场.
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收稿时间: | 1986-06-12 |
Anisotropic Plastic Stress Fields at a Rapidly Propagating Crack-Tip |
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Institution: | Central-South University of Technology, Changsha |
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Abstract: | All the stress components at a rapidly propagating crack-tip in an elastic perfectly-plastic material are the functions of θ only. Making use of this condition and the equations of steady-state motion, stress-strain relations and Hill anisotropic yield condition, we obtain the general solutions in both the cases of anti-plane and in-plane strain. Applying these two general solutions to propagating Mode III and Mode I cracks, respectively, the anisotropic plastic stress fields at the rapidly propagating tips of Mode III and Mode I cracks are derived. |
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