一类二维积分方程的封闭解及其在力学中的应用

A CLOSED-FORM SOLUTION OF A TOW-DIMENSIONAL INTEGRAL EQUATION AND ITS APPLICATION TO MECHANICS

讨论了带有１／ｒ奇性的二维奇异积分方程，并获得它的封闭解公式。利用此结论证明了弹性力学中２球的Ｈｅｒｔｚ接触问题的压力分布是唯一的．对接触问题。

A two-dimensional singular integral equation with 1／r singularity is discussed in this pa-per，and the closed-form solution of this equation is obtained．The result obtained showsthat the pressure distribution of Hertzian contact problem is unique，and can applied to con-tact problems and crack problems。