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PLASTIC ZONE AT THE MIXED MODE CRACK TIP IN NICKEL-BASED SINGLE CRYSTAL PLATE BASED ON A MODIFIED YIELD CRITERION

机译:基于修正屈服准则的镍基单晶板混合模式裂纹尖端的塑性区

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Because of excellent anti-fatigue and anti-creep in high temperature condition, nickel-base single crystal alloy has become the key materials in manufacturing blades of aircraft engines and gas turbines. Fracture and crack problem is onn of research focus in the field of solid mechanics and the key problem in various engineering fields. The shape and size of crack tip plastic zones are very important to analyze crack problem and there is close contact between crack propagation and crack tip plastic zone. A new modified yield criterion used for orthogonal anisotropic materials was given by adding a quadratic correction term of deviatoric stress tensor in classical Hill yield criterion in this paper. The plastic zones at the tip of I/II mixed mode crack in nickel-based single crystal plate were analyzed by using this modified yield criterion which includes tension-shear stress coupling terms. The analytical solutions of polar radius of crack tip plastic zones were derived respectively in the plane stress condition and in the plane strain condition. The influences of tension-shear stress couplingstress ratio of I/II mixed mode crack, the angles between the crack plane and crystal axis orientations of material and the temperature on crack tip plastic zones were discussed. The results obtained showed that crack tip plastic zones obtained by using new modified yield criterion considering tension-shear stress coupling were a little smaller than those obtained by using Hill yield criterion. The effect of tension-shear stress coupling on the plastic zones in the plane stress condition was bigger than that in plane strain condition. The stress ratio of I/II mixed mode crack had less effect on the shape of plastic zones and had obvious effect on the dimension of plastic zones. The angle between the crack plane and crystal axis orientations of material had more effect on the shape of the crack tip plastic zones. The temperature has greater influence on the size of crack tip plastic zones.
机译:由于在高温条件下具有出色的抗疲劳性和抗蠕变性,因此镍基单晶合金已成为制造飞机发动机和燃气轮机叶片的关键材料。断裂和裂纹问题是固体力学领域的研究重点,也是各个工程领域的关键问题。裂纹尖端塑性区的形状和大小对于分析裂纹问题非常重要,裂纹扩展与裂纹尖端塑性区之间有着紧密的联系。通过在经典Hill屈服准则中增加偏应力张量的二次修正项,给出了一种新的正交各向异性材料屈服准则。镍基单晶板的I / II混合模式裂纹尖端处的塑性区通过使用包含拉剪应力耦合项的修正屈服准则进行了分析。分别在平面应力条件和平面应变条件下得出了裂纹尖端塑性区极半径的解析解。讨论了I / II混合模式裂纹的拉剪应力耦合应力比,裂纹平面与材料的晶轴取向角以及温度对裂纹尖端塑性区的影响。所得结果表明,采用新的修正屈服准则并考虑了拉剪应力耦合的裂纹尖端塑性区要比采用Hill屈服准则获得的裂纹尖端塑性区小。在平面应力条件下,拉伸-剪切应力耦合对塑性区的影响要大于平面应变条件下的影响。 I / II混合模式裂纹的应力比对塑性区的形状影响较小,对塑性区的尺寸影响明显。裂纹平面和材料的晶轴方向之间的夹角对裂纹尖端塑性区的形状影响更大。温度对裂纹尖端塑性区的尺寸影响更大。

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