静止裂纹尖端的理想塑性应力场
Perfectly Plastic Stress Field at a Stationary Crack Tip
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摘要: 在裂纹尖端的理想塑性应力分量都只是θ的函数的假设下,利用平衡方程和屈服条件,本文导出了裂纹尖端的理想塑性应力场的一般解析表达式.将这些一般解析表达式用于具体裂纹,我们就得到Ⅰ型,Ⅱ型,Ⅲ型及Ⅰ-Ⅱ复合型裂纹尖端的理想塑性应力场.Abstract: Under the hypothesis that all the perfectly plastic stress components at a orach tip are the functions of θ only, making use of yield conditions and equilibrium equations. we derive the generally analytical expressions of the perfectly plastic stress field at a crack tip. Applying these generally analytical expressions to the concrete cracks, the analytical expressions of perfectly plastic stress fields at the tips of Mode Ⅰ Mode Ⅱ, Mode Ⅲ and Mixed Mode Ⅰ-Ⅱ cracks are obtained.
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[1] Hutchinson,J.W.Plastic stress and strain fields at a crack tip,J Mech.Phys.Solids,16.5(1968),337-347. [2] Shih,C.F.Small-scale yielding analysis of mixed mode plane-stress crack problems.Fracture Analysis,ASTM STP 560(1974),187-210. [3] Hult,J.A.and F.A.McClintock,proc.ninth International Congress,Appl.Mech.8,51,(1956). -
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