Assessment of certain higher-order structural models based on global approach for bending analysis of curvilinear composite laminates

Abstract

In this paper, the performance of different structural models based on global approach in evaluating the static response of curvilinear fibre composite laminates is analyzed. A C o shear flexible Quad-8 element developed based on higher-order structural theory is employed for the present study. The structural theory accounting for the realistic variation of displacements through the thickness and the possible discontinuity in the slope at the interface is considered. Four alternate discrete structural models, deduced from the generic structural model by retaining various terms in the displacement functions are examined for their applicability. The accuracy of the present formulation is demonstrated considering the problems for which analytical solutions are available. A systematic numerical study, assuming different ply-angle and lay-up, is conducted in bringing out the influence of various structural models on the static response of composite laminates with curvilinear fibres.

Thermoelastic Stability Behavior of Curvilinear Fiber‐Reinforced Composite Laminates With Different Boundary Conditions

“…The lamina made of such fibers is referred as 〈 θ 1 θ 2 〉. The fiber path function x 2 and the associated orientation angle θ ( x 1 )that permit for a wide range of properties are defined for the k th lamina as . …”

“…The lamina made of such fibers is referred as hθ 1 θ 2 i. The fiber path function x 2 and the associated orientation angle θ(x 1 )that permit for a wide range of properties are defined for the kth lamina as [17,18,20].…”

“…To avoid kinking, it is a general practice followed in the manufacturing process by limiting the magnitude of the maximum curvature value for any ply in the direction of fiber path less than certain allowable value. For instance, at each point along the fiber path, the magnitude of the curvature κ is limited to <3.28 m −1 . In case the fiber curvature constraint is not satisfied along the fiber path direction, such ply is eliminated for manufacturing.…”

“…Wu et al have recently dealt with the optimization of postbuckling behavior of panel with variable tow angle and obtained the first‐level optimal solutions in terms of lamination parameters. The effect of various structural models in predicting the mechanical and thermal behavior of curvilinear fiber‐reinforced composite laminates is assessed in the work of Venkatachari et al . The available research work related to the mechanical behavior of curvilinear fiber‐based composite laminates is recently reviewed and documented in Ref.…”

Isogeometric static analysis of laminated plates with curvilinear fibers based on Refined Zigzag Theory

“…For the structural analysis of curvilinear fiber laminated composites, various numerical methods such as finite element, boundary ele-ment, smoothed finite element, mesh-free, differential quadrature etc. [40][41][42][43][44][45][46][47] can be applied in the case of insufficient analytical solutions. Among these numerical approaches, finite element method (FEM) is a well-known one and frequently used in computer aided engineering industry (CAE).…”