Inter-relationships among non-shear elastic constants for symmetrical or unsymmetrical laminates with transverse matrix cracks in the 90-degree laminas

PATRICIA M. DARDATI; LUIS A. GODOY; DARIO BARULICH

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES

TAYLOR & FRANCIS INC

Lugar: Londres; Año: 2020 vol. 27 p. 228 - 237

1537-6494

In this paper, nine inter-relationships linking the stiffness matrix components of symmetrical or unsymmetrical laminates having transverse matrix cracks in some of the off-axis plies is presented. The crack closure condition under membrane and bending deformations is established and used to obtain the inter-relationships. The derived crack closure conditions and inter-relationships are validated using a numerical model based on previous work by the authors. These inter-relationships include the eighteen stiffness matrix components and are exact within the assumptions made in the Classical Lamination Theory. When using a two-scale Finite Element-based model, six loading cases would be needed to obtain the complete stiffness matrix. With the obtained inter-relationships only four loading cases would be needed, thus saving a third of the total amount of information and computing time.