高速扩展平面应力裂纹尖端的理想塑性场
Perfectly Plastic Fields at a Rapidly Propagating Plane-Stress 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的函数的条件下,利用Mises屈服条件、定常运动方程及弹塑性本构方程,我们导出了高速扩展平面应力裂纹尖端的理想塑性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,我们就得到高速扩展平面应力Ⅰ型和Ⅱ型裂纹的尖端的理想塑性场.Abstract: Under the condition that all the perfectly plastic stress components at a crack tip are the functions of θ only, making use of the Mises yield condition, steady-state moving equations and elastic perfectly-plastic constitutive equations, we derive the generally analytical expressions of perfectly plastic fields at a rapidly propagating plane-stress crack tip. Applying these generally analytical expressions to the concrete crack, we obtain the analytical expressions of perfectly plastic fields at the rapidly propagating tips of modes I and Ⅱ plane-stress cracks.
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Key words:
- crack-tip /
- perfectly plastic fields /
- plastic region /
- line of stress discontinuity
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[1] Слепян Л.И.,Динамика тращины в удругопластическом теле,Изв АНСССР МТТ,11,2(5976).]44. [2] A chenbach,J.D,and V,Dunayevsky,Fields near a rapidly propagating crack-tip in an elastic perfectly-plastic materials.J.Mech,Phys,Solids,29,4(19s1),283-303. [3] 林拜松,高速扩展裂纹尖端的理想弹塑性场,应用数学和力学,6,10(19A5),939-946. [4] 林拜松,高速扩展平面应力裂纹尖端的理想塑性应力场,应用数学和力学,7,8(1986),751-758. [5] 林拜松,静止裂纹尖端的理想塑性应力场,应用数学和力学,6,5(1985),415-421. -
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