中文摘要：

研制基于扩展有限元方法（XFEM）的齿轮裂纹扩展计算程序,用标准算例验证计算程序准确性。提出裂纹扩展路径与齿轮中心的距离作为轮齿/轮缘断裂的评判指标,研究轮缘厚度、腹板厚度、腹板圆孔大小及位置对直齿轮齿根裂纹扩展路径的影响,计算结果表明,轮缘厚度的减小导致了齿根裂纹扩展路径整体地朝齿轮中心方向移动,增加了轮缘断裂的可能性;腹板厚度的减小导致齿根裂纹扩展路径整体地朝齿轮中心方向移动,增大了轮缘断裂的可能性;腹板圆孔的存在增加了齿轮轮缘断裂的可能性,而且圆孔尺寸越大,轮缘断裂的可能性越大;齿槽正下方可作为腹板圆孔的优选位置。

英文摘要：

The extended finite element method （XFEM） is investigated to calculate gear crack propagation. The crack propagation computer program are developed, and the correctness is verified with the aid of standard examples. The distance between crack propagation path and gear center as the evaluation indicator of tooth/tim fracture is proposed, the effect of rim thickness, web thickness, sizes and positions of web holes on spur gear tooth crack propagation path is investigated. The results indicate that, the decrease of rim thickness results in gear tooth crack propagation paths moving down to gear center integrally, which increases the occurrence of rim fracture. The decrease of web thickness results in gear tooth crack propagation paths moving down to gear center integrally, which increases the occurrence of rim fracture. The existence of web holes increases the occurrence of rim fracture and the larger is the hole, the greater is the occurrence. The preferred position of web hole lies in vertically below the tooth socket.