Singularities in polynomial representation of transverse shear in Finite elements

摘要

polynomials are frequently used to represent transverse shear when modeling composites shells with two-dimensional finite elements. Layerwise theories have been developed that capture the continuous transverse shear stresses and displacements through the thickness of the laminate, but such schemes do not permit the use of complete cubic polynomials in representing the displacement functions: the number of noknown coefficients exceeds the number of conditions imposed on the laminate.