Abstract: aking the surface-contact model between rigid flat punch and elastic half-space as the research subject, and through comparing the results of analytical solution and numerical simulation by the finite element method (FEM) software MSC.Marc, it is determined that the non-uniform meshing method and the third grade FEM calculation are reliable as to the surface-contact problem with definite contact area. For the most fundamental surface-contact problem involved with friction hydro pillar processing in friction stitch welding, the normal stress on the contact surface increases quadratically from center to the marginal side. The diameter of the metal stud and the applied external load has more influence to the distribution of normal stress on the contact surface, while the influence of radial clearance, the material combination between the metal stud and the predrilled hole are relatively small.

Key words: Surface contact , Finite element method (FEM) ,  Friction hydro pillar processing (FHPP) , Elasto-static mechanics

摘要： 选用刚性平冲头与弹性半空间的经典面接触模型为研究对象, 通过解析解与M SC .Mar c 有限元数值
模拟结果的比较, 确定了偏斜网格以及3 级有限元计算对已知接触区域面接触问题的可靠性。对于摩擦叠焊单元成
形过程所涉及的基本弹性静力学面接触问题而言, 接触面上的法向应力分布从中心向边缘以二次曲线的形式逐渐
增大;金属棒直径、轴向外载荷对接触面上法向应力的分布情况影响较大, 而径向间隙、不同材料组合对其的影响相
对较小。

关键词: 面接触 , 有限元 , 摩擦液柱成形 , 弹性静力学