高速扩展裂纹尖端的各向异性塑性场
Anisotropic Plastic Fields at a Rapidly Propagating Crack-Tip
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摘要: 在裂纹尖端的应力分量都只是θ的函数的条件下,利用定常运动方程,应力应变关系及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裂纹尖端的各向异性塑性场的一般解.将这些一般解用于具体裂纹,我们就求出了Ⅰ型和Ⅱ型裂纹的高速扩展尖端的各向异性塑性场,Abstract: Under the condition that all the stress components at a crack-tip are the functions of θ only,making use of the equations of steady-slate motion,stress-strain relations and Hill anisotropic yield conditions,we obtain the general solutions at a crack-tip in both the cases of anti-plane and in-plane strains.Applying these general solutions to the concrete cracks,the anisotropic plastic fields at the rapidly propagating tips of mode Ⅲ and mode Ⅰ cracks are derived.
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Key words:
- anisotropic plastic fields /
- crack-tip
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[1] 林拜松,奇点附近的各向异性塑性应力场,应用数学和力学,8(8)(1987),767-772. [2] 林拜松,高速扩展裂坟尖端均各向异性塑性应力场,应用数学和力学,9(1)(1988),31-36. [3] 林拜松,缓慢扩展裂纹尖端的各向异性塑性应力场,应用数学和力学,10(8)(1989),759-765. [4] 林拜松,高速速扩展裂纹尖端的理想弹塑性场,应用数学和力学,6(10)(1985),1017-1025. [5] Hill,R.,The Mathematical Theory of Plasticity,Oxford(1956). -
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