Exact model for the response of moderately thick laminates to transverse forces. (1st November 2019)

• Record Type: Journal Article
• Authors: Kress, G.; Filipovic, D.
• Is Part Of: Composite structures. Volume 227(2019)
• Publication Date: 2019-11-01
• Subjects: Composite materials -- Multidirectional laminates -- Sandwiches -- Transverse shear behavior -- Substitute-plate transverse-shear stiffness matrix; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2019.111261
• Languages: English
• ISSNs: 0263-8223

Abstract

Abstract: Under the premise of homogeneous force, or curvature-gradient, distribution, a solution for transverse-shear strains and stresses, warping functions, and through-thickness displacements is derived by satisfying all relations and conditions of linear elasticity. Only for calculating the substitute-plate transverse-stiffness matrix the principle of the minimum of the total potential energy is used as a scheme for correctly combining energetically conjugate components of stresses and strains for the entries of the substitute-plate transverse stiffness matrix. The model is valid for all laminate and sandwich designs. The said premise renders the model a point theory rather than a structural theory, so that it is a complement to the classical theory of laminated plates in the sense of mapping substitute-plate properties and distribution of state variables through the laminate thickness. This paper explains the modeling ideas and derivations in detail. Predictions of the responses for a set of sample laminates of varying complexity, and comparison of stiffness values with those obtained by a dedicated FEM formulation, verify the model.