A geometrically exact formulation for thin multi-layered laminated composite plates: Theory and experiment

• Published in: Composite structures Vol. 93; no. 7; pp. 1649 - 1663
• Main Authors: Lacarbonara, Walter, Pasquali, Michele
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.06.2011; Elsevier
• Subjects: Approximation; Byproducts; Composite structures; Deflection; Equations of motion; Exact sciences and technology; Experimental equilibrium paths; Fundamental areas of phenomenology (including applications); Geometrically exact plate; Mathematical analysis; Multi-layered composite plates; Nonlinear curvatures; Nonlinear membrane stretching; Nonlinearity; Physics; Plates; Solid mechanics; Static elasticity (thermoelasticity...); Strain; Structural and continuum mechanics; Nonlinear membrane stretching; Geometrically exact plate; Experimental equilibrium paths; Multi-layered composite plates; Nonlinear curvatures; Reissner Mindlin model; High strain; Displacement(deformation); Modeling; Composite material; Concentrated load; Thin film; Kinematics; Membrane; Stretching; Linearization; Stratified material; Equation of motion; Clamped plate; Large displacement; Experimental study; Thickness; Truncated shape; Von Kárman equation; Non linear effect; Curvature; Structural analysis
• ISSN: 0263-8223; 1879-1085
• DOI: 10.1016/j.compstruct.2010.12.005

A geometrically exact approach is employed to formulate the equations of motion of thin multi-layered isotropic and laminated composite plates subject to excitations that cause large strains, displacements, and rotations. The linearization of the obtained semi-intrinsic theory leads to the Mindlin–Reissner theory while an ad hoc truncated kinematic approximation delivers, as a by-product, the Föppl–von Kármán theory of plates. An experimental validation is sought for fully clamped plates which are either of the isotropic single-layered type or of the multi-layered laminated composite type. To this end, nonlinear equilibrium paths are constructed both theoretically and experimentally when the plates are subject to a quasi-statically increasing central point load. The comparisons between the experimentally obtained results and those furnished by the geometrically exact theory as well as by the Föppl–von Kármán (FVK) theory show the high accuracy of the proposed nonlinear theory while the FVK theory becomes increasingly inaccurate at deflection amplitudes of the order of the plates thickness.