Multiscale Analysis of Bi-Layer Lattice-Filled Sandwich Structure Based on NIAH Method

Area of Science:

• Mechanical Engineering
• Materials Science
• Computational Mechanics

Background:

• Bi-layer lattice-filled sandwich structures are promising for multi-physics applications.
• Existing high-precision numerical analysis methods are limited.
• The novel numerical implementation of asymptotic homogenization (NIAH) offers a potential solution.

Purpose of the Study:

• To investigate the feasibility of the NIAH method for bi-layer lattice-filled sandwich structures.
• To compare NIAH results with Kirchhoff theory-based homogenization methods.
• To analyze the influence of shear effects, size effects, macrostructure, and lattice types on accuracy.

Main Methods:

• Developed the novel numerical implementation of asymptotic homogenization (NIAH) based on Mindlin plate theory.
• Compared NIAH results with Kirchhoff theory-based homogenization.
• Investigated the impact of structural parameters like cell count, stiffness differences, size, macrostructure, and lattice types.

Main Results:

• The NIAH method generally provides high-precision results for bi-layer lattice-filled sandwich structures.
• Shear effects significantly influence structural responses, with NIAH accounting for these.
• Accuracy is reduced when the number of lattice cells is low or layer stiffness differs greatly.

Conclusions:

• The NIAH method is a viable and accurate approach for analyzing bi-layer lattice-filled sandwich structures.
• Mindlin plate theory integration in NIAH effectively captures shear deformation effects.
• Limitations in lattice cell count or stiffness uniformity can impact NIAH's predictive accuracy.