| 摘 要： | This paper is neither laudatory nor derogatory but it simply contrasts with what mightbe called elastostatic(or static topology),a proposition of the famous six equations.Theextension strains and the shearing strainsfor all i,j,k=1,2,3.which were derived by A.L.Cauchy,are linearly expressed in terms of nine partialderivatives of the displacement function(u_i,u_j,u_k)(?)u(x~i,x~j,x~k)and it is impossiblefor the inverse proposition to sep up a system of the above six equations in expressing thenine components of matrix((?)(u_i,u_j,u_k)/(?)(x~i,x~j,x~k)).This is due to the fact that ourgeometrical representations of deformation at a given point are as yet incomplete .On theother hand,in more geometrical language this theorem is not true to any triangle,exceptorthogonal,for“squared length”in space.The purpose of this paper is to describe some mathematic laws of algebraicelastodynamics and the relationships between the above-mentioned important questions.
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