Abstract: A new method is introduced to derive the general solution of elasticity equations in terms of stresses. Different from Bлох, the general solution is obtained by substituting the general solution of stress compatibility equations into equilibrium equations. This solution is identical with Bлох's.

Key words: elasticity, stress function, Beltrami stress compilability equation, general solution

摘要： 将应力协调方程的解带入到平衡方程，给出了应力函数通解的另外一种证明。其方法与Bлох 的将已有的平衡方程通解带入到应力协调方程的方法恰好相反，得到的通解形式和Bлох的结果完全一致。

关键词: 应力函数, Beltrami应力协调方程, 通解, 弹性力学