Saint Venant's compatibility equations

Saint Venant's compatibility equations

[‚sän·və′nänz kəm‚pad·ə′bil·əd·ē i‚kwā·shənz] (mechanics) Equations for the components eij of the strain tensor that follow from their integrability, namely, (eij )kl + (ekl )ij - (eik )jl - (ejl )ik = 0, where i, j, k, and l can take on any of the values x, y, and z, and subscripts outside the parentheses indicate partial differentiation.