A new finite element for the static and dynamic analysis of cracked composite beams

Abstract A new beam finite element with a single nonpropagating one-edge open crack located in its mid-length is formulated for the static and dynamic analysis of cracked composite beam-like structures. The element includes two degrees of freedom at each of the three nodes: a transverse deflection and an independent rotation respectively. The exemplary numerical calculations illustrating variations in the static deformations and a fundamental bending natural frequency of a composite cantilever beam caused by a single crack are presented. The element proves to be accurate and versatile. The compatibility with plate and shell elements as a stiffener is assured through the use of simple nodal variables of the C 0 -type. The method presented of creating the element makes it possible to construct beam finite elements with other types of cracks (double-edge, internal, etc.) provided that stress intensity factors for a given type of crack are known.