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第4期 韩庆礼等：钛合金表面扩散焊接轴承钢硬化层厚度的优化设计 .401. 参考文献 of a coating substrate composite under an elastic.Hertzian type [1]刘荧，曲周德，王本贤.钛合金TC4的研究开发与应用.兵器 pressure field:eylinder on flat contact geometry.Surf Coat Tech- nol,1998,102,138 材料科学与工程，2005,28(5)：47 [2]鄢建辉，汪久根，禁振慧，单层涂层最佳厚度的有限元分析 [6]Stephens LS,Liu Y,Meletis E I.Finite element analysis of the 机械设计，2004,21(1)：7 initial yielding behavior of a hard coating/substrate system with [3]鄢建辉，汪久根。双层涂层体系最大剪应力分析，浙江大学学 functionally graded interface under indentation and friction.JTri- 报：工学版，2004,38(5)：621 bol,2000,122:381 [4]Kua C H,Keer L M.Contact stress analysis of a layered trans- [7]Komvopoulos K.Finite element analysis of a layered elastic solid versely isotropic half-space.J Tribol.1992.114:253 in normal contact with a rigid surface.J Tribol.1988,110:477 [5]Njiwa R K,Consiglio R.Stebut JV.Boundary element modeling [8]膝志斌.新编常用材料手册.北京：金盾出版社，1994：18 Optimization and design of thickness of bearing steel layer diffusion bonding on tita- nium alloy surface HAN Qingli),LIU Guoquan),WANG Liang2,WANG Andong,XIANG Song) 1)Materials Science and Engineering school.University of Science and Technology Beijing.Beijing 100083.China 2)Aerospace Research Institute of Materials and Processing Technology,Beijing 100076.China ABSTRACI In order to confirm the appropriate thickness of bearing steel layer diffusion bonding on titanium alloy surface,the elastic modulus of materials was measured by Nano Indenter Il.Stress distribution and inte- grated distortion of the titanium alloy which bonded bearing steel layer were analyzed by finite element simula- tion under press stress,and the thickness of bearing steel layer was optimized and designed.The results show that when the thickness of hardened layer is 0.10-0.50mm,the maximal equivalent stress is located the inter- face of titanium alloy and bearing steel layer,which can easily induce interface cracks;the appropriate thickness of bearing steel layer is 1.00-2.00mm,and the optimal thickness is about 1.50mm. KEY WORDS bearing steel;titanium alloy;diffusion bonding;hardened layer;finite element analysis参 考 文 献 ［1］ 刘荧曲周德王本贤．钛合金 TC4的研究开发与应用．兵器 材料科学与工程200528（5）：47 ［2］ 鄢建辉汪久根綦振慧．单层涂层最佳厚度的有限元分析． 机械设计200421（1）：7 ［3］ 鄢建辉汪久根．双层涂层体系最大剪应力分析．浙江大学学 报：工学版200438（5）：621 ［4］ Kua C HKeer L M．Contact stress analysis of a layered transversely isotropic half-space．J Tribol1992114：253 ［5］ Njiwa R KConsiglio RStebut J V．Boundary element modeling of a coating-substrate composite under an elasticHertzian type pressure field：cylinder on flat contact geometry．Surf Coat Technol1998102：138 ［6］ Stephens L SLiu YMeletis E I．Finite element analysis of the initial yielding behavior of a hard coating／substrate system with functionally graded interface under indentation and friction．J Tribol2000122：381 ［7］ Komvopoulos K．Finite element analysis of a layered elastic solid in normal contact with a rigid surface．J Tribol1988110：477 ［8］ 滕志斌．新编常用材料手册．北京：金盾出版社1994：18 Optimization and design of thickness of bearing steel layer diffusion bonding on titanium alloy surface HA N Qingli 1）LIU Guoquan 1）WA NG L iang 2）WA NG A ndong 1）XIA NG Song 1） 1） Materials Science and Engineering schoolUniversity of Science and Technology BeijingBeijing100083China 2） Aerospace Research Institute of Materials and Processing TechnologyBeijing100076China ABSTRACT In order to confirm the appropriate thickness of bearing steel layer diffusion bonding on titanium alloy surfacethe elastic modulus of materials was measured by Nano Indenter Ⅱ．Stress distribution and integrated distortion of the titanium alloy which bonded bearing steel layer were analyzed by finite element simulation under press stressand the thickness of bearing steel layer was optimized and designed．The results show that when the thickness of hardened layer is0∙10—0∙50mmthe maximal equivalent stress is located the interface of titanium alloy and bearing steel layerwhich can easily induce interface cracks；the appropriate thickness of bearing steel layer is1∙00—2∙00mmand the optimal thickness is about 1∙50mm． KEY WORDS bearing steel；titanium alloy；diffusion bonding；hardened layer；finite element analysis 第4期 韩庆礼等： 钛合金表面扩散焊接轴承钢硬化层厚度的优化设计 ·401·