Open Access

ARTICLE

Numerical Homogenization Approach for the Analysis of Honeycomb Sandwich Shell Structures

Martina Rinaldi^1,2, Stefano Valvano^1,*, Francesco Tornabene², Rossana Dimitri²

1 Institute for Innovation in Sustainable Engineering, University of Derby, Derby, DE1 3HD, UK
2 Department of Innovation Engineering, School of Engineering, University of Salento, Lecce, 73100, Italy

* Corresponding Author: Stefano Valvano. Email:

(This article belongs to the Special Issue: Advanced Modeling of Smart and Composite Materials and Structures)

Computers, Materials & Continua 2025, 83(2), 2403-2428. https://doi.org/10.32604/cmc.2025.060672

Received 07 November 2024; Accepted 24 February 2025; Issue published 16 April 2025

Abstract

This study conducts a thorough examination of honeycomb sandwich panels with a lattice core, adopting advanced computational techniques for their modeling. The research extends its analysis to investigate the natural frequency behavior of sandwich panels, encompassing the comprehensive assessment of the entire panel structure. At its core, the research applies the Representative Volume Element (RVE) theory to establish the equivalent material properties, thereby enhancing the predictive capabilities of lattice structure simulations. The methodology applies these properties in the core of infinite panels, which are modeled using double periodic boundary conditions to explore their natural frequencies. Expanding beyond mere material characterization, the study introduces a novel approach to defining the material within the panel cores. By incorporating alternate materials such as steel and AlSiC, and by strategically modifying their ratios, the research streamlines the process of material variation without resorting to repetitive 3D operations on the constituent cells. This optimizes not only the computational resources but also offers insights into the structural response under diverse material compositions. Furthermore, the investigation extends its scope to analyze the influence of curvature on the structural behavior of lattice structures. Panels are modeled with varying degrees of curvature, ranging from single to double curvatures, including cylindrical and spherical configurations, across a spectrum of radii. A rigorous analysis is performed to study the effect of curvature on the mechanical performance and stability of lattice structures, offering valuable insights for design optimization and structural engineering applications. By building upon the existing knowledge and introducing innovative methodologies, this study contributes to improving the understanding of lattice structures and their applicability in diverse engineering contexts.

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