Advanced Finite Element Analysis of Composite Structures

Summary

Advanced finite element analysis (FEA) of composite structures has evolved into a mature discipline that addresses the mechanical behaviour of multi-layered, anisotropic materials under realistic loading and environmental conditions. Modern approaches employ higher-order and layerwise theories to capture through-thickness variation of displacements and stresses, enabling accurate prediction of interlaminar shear, transverse normal stresses and failure initiation. Spectral and hp-adaptive formulations deliver exponential convergence rates, while hybrid-mixed and solid-shell elements merge three-dimensional accuracy with shell-type efficiency. Computational homogenisation techniques bridge scales from microscale fibre–matrix interactions to macroscopic structural response, accounting for edge effects and boundary layers unique to composites. These advances are critical for the design and certification of lightweight aerospace panels, automotive crash structures and civil-engineering facades, where weight savings, durability and damage tolerance are paramount.

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Advanced Finite Element Analysis of Composite Structures publication trend

The graph below shows the total number of articles in advanced finite element analysis of composite structures across all publications each year (not limited to Nature Index journals).

Technical terms

Finite element analysis: A numerical method for approximating the behaviour of structures by subdividing them into discrete elements.

Composite structures: Assemblies of two or more distinct materials, combined at a macroscopic level to exploit their respective mechanical properties.

Shell element: A finite element type that models thin-walled curved structures by accounting for bending and membrane actions.

Functionally graded material: A composite whose constituent volume fractions vary continuously, producing spatially varying material properties.

Spectral/hp method: A high-order FEA technique combining spectral accuracy with mesh refinement (h-refinement) and polynomial enrichment (p-refinement).

Asymptotic homogenisation: A multiscale approach that derives effective macroscopic properties by averaging microscale fields, often incorporating boundary-layer corrections.

Hybrid-mixed formulation: A finite element scheme that introduces additional field variables (such as stresses and displacements) to improve accuracy and convergence.

References

  1. Exact geometry solid-shell element based on a sampling surfaces technique for 3D stress analysis of doubly-curved composite shells. Curved and Layered Structures (2015).
  2. A Seven-Parameter Spectral/hp Finite Element Model for the Linear Vibration Analysis of Functionally Graded Shells with Nonuniform Thickness. Applied Sciences (2023).
  3. Modeling the edge effect in composites based on asymptotic homogenization method. E3S Web of Conferences (2023).

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