Large-deflection and post-buckling analyses of laminated composite beams by Carrera Unified Formulation

By Alfonso Pagani, Erasmo Carrera. 2017

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Abstract The Carrera Unified Formulation (CUF) was recently extended to deal with the geometric nonlinear analysis of solid cross-section and thin-walled metallic beams (Pagani and Carrera, 2017). The promising results provided enough confidence for exploring the capabilities of that methodology when dealing with large displacements and post-buckling response of composite laminated beams, which is the subject of the present work. Accordingly, by employing CUF, governing nonlinear equations of low- to higher-order beam theories for laminated beams are expressed in this paper as degenerated cases of the three-dimensional elasticity equilibrium via an appropriate index notation. In detail, although the provided equations are valid for any one-dimensional structural theory in a unified sense, layer-wise kinematics are employed in this paper through the use of Lagrange polynomial expansions of the primary mechanical variables. The principle of virtual work and a finite element approximation are used to formulate the governing equations in a total Lagrangian manner, whereas a Newton–Raphson linearization scheme along with a path-following method based on the arc-length constraint is employed to solve the geometrically nonlinear problem. Several numerical assessments are proposed, including post-buckling of symmetric cross-ply beams and large displacement analysis of asymmetric laminates under flexural and compression loadings.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/86341f7d8d09373a2c618bb75a9a6c741576e0e8

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Geometrically nonlinear refined shell theories by Carrera Unified Formulation (2019, methodology): “It is worth mentioning that, based on the Carrera Unified Formulation (CUF) and the total Lagrangian description, the refined and full geometrically nonlinear beam and plate theories have been established to analyze the large displacement/rotation and post-buckling responses for both metallic and co”