In this paper, an efficient method for the computation of the stress state in the vicinity of transverse cracks in symmetric fibre-reinforced composite laminated plates under tensile load is presented. To determine the stress field, the solution of the Classical Lamination Theory (CLT) of the uncracked structure is superimposed with a so-called “internal solution” which is based on a subdivision of the layers into an arbitrary number of numerical plies. The displacement field of the composite laminated plate is approximated by introducing a priori unknown interface displacement functions. By employing the principle of minimum total potential energy, the governing equations are obtained in a closed-form manner and yield a quadratic eigenvalue problem, which is solved numerically. In order to obtain a full description of the state variables, the underlying boundary conditions as well as the continuity conditions have to be utilized. Comparisons with two-dimensional finite element studies indicate that the semi-analytical method is able predict the stress field with similar accuracy while only using a fraction of the underlying computational effort.
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- Semi-analytical Model for the Close-Range Stress Analysis of Transverse Cracks in Composite Plates
- Copyright Year
- Springer International Publishing