The paper depicts the elasticity with euler form and associates the form with depiction of behavior of fluid . the method takes the velocity as basic variables and then derives the left - deformation tensor from the velocity in order to deal with the time - independent motion . at last in this chapter the equations of the finite flow - element are set up from the principle of the virtual work 首先建立流管元的概念,对弹性固体相关的部分采用euler描写,并融入流体行为的描写中;以速度为变量,反推左变形张量,用于处理流固物质的定常运动,给出了控制方程和相应的变分式;以此为基础发展了一套相应的有限流管元算法。