STRESS FUNCTIONS AND INTERNAL-STRESSES IN LINEAR 3-DIMENSIONAL ANISOTROPIC ELASTICITY

A stress function method is presented in order to give a general solut ion of the incompatibility problem of three-dimensional linear anisotr opic elasticity theory. A relation between the internal stress tensor in terms of derivatives of a sixth-order stress function tensor will b e derived. Using this formulation the so far open problem of the repre sentation of the second-order stress function tensor by the fourth-ord er stress function tensor in anisotropic elasticity theory is solved i n general.