The semispatial theory of torsion of a composite layered core of any section

It to job the unidirectional layer represents kvazi the homogeneous the anisotropic environment which elastic properties are defined by elastic properties of components, i.e. properties of fibers and matrixes, their quantitative parity, and also structure of an arrangement of fibers and their orientation. Because physic mechanical properties of layers can differ from each other is defined the resulted mechanical characteristics of cross-section section.
For the decision of a problem of the generalized torsion the decision of a problem on pure torsion for each layer i is found. After substitution preliminary certain functions for each layer i in the right parts of the equation from the decision of the non-uniform differential equation there is a value for each layer i. As functions are preliminary defined, from the decision of the non-uniform differential equation there is a value for each layer i. Thus, on the found functions the system of the equations together with boundary conditions allows mathematical to formulate a problem for definition separately of function and separately of function for each layer i. For the decision of system of the equations the method consecutive approach is used. Calculation comes to an end at sufficient affinity of results next approach. Therefore the form of the decision favorably differs from the decision offered by other authors that allows receiving directly decisions in moving.

cylindrical rod, layered structure of cross section