夹杂物形状对夹杂/基体界面应力应变分布的影响
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摘要
夹杂物形状对粉末高温合金裂纹萌生具有明显影响,利用有限元模拟和弹性理论复变函数方法,研究了同一尺寸、位置下,不同夹杂物形状对应力应变分布的影响,结果表明,当夹杂物为椭圆形时,随着平行于加载方向椭圆半轴增加、垂直于加载方向椭圆半轴减小,夹杂物/基体界面处的正应力明显增大,最大塑性应变位置向加载方向转移,最大塑性应变值也增大;当夹杂物为存在几何角点的非椭圆形状时,在几何角点处存在应力奇异性,此时需要用应力强度系数表征角点附近的应力场强。
The shape of inclusion has obvious influence on the crack initiation of powder superalloy. The influence of inclusion shape on stress & strain distribution was researched for inclusions with the same size and same position by Function of Complex Variables of elastic theory. The results show that the variation of inclusion shapes has clearly effect on the stress & strain distribution. When inclusion shape is ellipse, the normal stress of inclusion-matrix interface, the angular θ, and the maximum plastic strain may increase with the increase of the elliptic half axis parallel to the loading direction, the elliptic half axis perpendicular to the loading direction decrease. When inclusion shape is not the ellipse but the polygon, there are stress singularities at the corner joint of polygon. At this time, stress intensity factor was used to represent the stress field of polygon corner joint.
The shape of inclusion has obvious influence on the crack initiation of powder superalloy. The influence of inclusion shape on stress & strain distribution was researched for inclusions with the same size and same position by Function of Complex Variables of elastic theory. The results show that the variation of inclusion shapes has clearly effect on the stress & strain distribution. When inclusion shape is ellipse, the normal stress of inclusion-matrix interface, the angular θ, and the maximum plastic strain may increase with the increase of the elliptic half axis parallel to the loading direction, the elliptic half axis perpendicular to the loading direction decrease. When inclusion shape is not the ellipse but the polygon, there are stress singularities at the corner joint of polygon. At this time, stress intensity factor was used to represent the stress field of polygon corner joint.
引文
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2 Shamblen C E.Metallurgical Transaction B,1985,168,775.
3 Bussac A.Fatigue and Fracture of Engineering Materials and Structure,1994,17,1319.
4国为民,陈淦生,张凤戈.金属学报,1999,35(2),355.
5邹金文,汪武祥.粉末冶金技术,2001,19(1),7.
6刘新灵,胡春燕,王天宇.失效分析与预防,2018,13(2),89.
7田帅.异质材料界面强度的理论与数值分析.硕士学位论文,扬州大学,2013.
8丁学杉.三维界面应力奇异性及界面断裂分析.硕士学位论文,东北大学,2013.
9师俊平,杨成,解敏.西安理工大学学报,2004,20(4),347.
10戴瑛,嵇醒.中国科学G辑:物理学力学天文学,2007,37(4),535.
11吴萍,张廷波,黄摸佳.南昌大学学报(理科版),2009,33(2),138.
12 Lee B J,Mear M E.Journal of the Mechanics and Physics of Solids,1999,47,1301.
13 Dai-hengchen,Seiji Naka Michi.International Journal of Fracture,1996,82,131.
14许金泉,金烈侯,丁浩江.力学季刊,1996(17),104.
15 Chen D H,Nisitani H.Journal of Applied Mechanics,1993,60,607.
16王天宇.粉末高温合金缺陷定量评价及萌生寿命预测方法研究.硕士学位论文,北京航空材料研究院,2016.