Abstract

Although the literature is abundant with the experimental methods to characterize mechanical behavior of parts made by fused filament fabrication 3D printing, less attention has been paid in using computational models to predict the mechanical properties of these parts. In the present paper, a numerical homogenization technique is developed to predict the effect of printing process parameters on the elastic response of 3D printed parts with cellular lattice structures. The development of finite element computational models of printed parts is based on a multi scale approach. Initially, at the micro scale level, the analysis of micro-mechanical models of a representative volume element is used to calculate the effective orthotropic properties. The finite element models include different infill densities and building/raster orientation maintaining the bonded region between the adjacent fibers and layers. The elastic constants obtained by this method are then used as an input for the creation of macro scale finite element models enabling the simulation of the mechanical response of printed samples subjected to the bending, shear, and tensile loads. Finally, the results obtained by the homogenization technique are validated against more realistic finite element explicit microstructural models and experimental measurements. The results show that, providing an accurate characterization of the properties to be fed into the macro scale model, the use of the homogenization technique is a reliable tool to predict the elastic response of 3D printed parts. The outlined approach provides faster iterative design of 3D printed parts, contributing to reducing the number of experimental replicates and fabrication costs.

Highlights

  • Due to the recent advances in additive manufacturing (AM) technology, lightweight parts with complex geometries have seen an increased popularity in sectors such as automotive, aerospace, military, marine, and biomedical and the electronics industries

  • Dividing the sum of the boundary nodal forces at the affected boundary nodes by the area of affected surface yields the stress value corresponding to the applied strain; Young’s modulus as well as shear modulus are calculated as shown in Eq 8, Eq 9, and Fig. 8

  • The constitutive material behavior of fused filament fabrication (FFF)-based 3D printed parts depends on processing parameters such as build orientation, raster angles, infill patterns, and densities

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Summary

Introduction

Due to the recent advances in additive manufacturing (AM) technology, lightweight parts with complex geometries have. While reducing the FEA time, the homogenization-based approach can effectively estimate the elastic behavior of 3D printed parts This would enable engineers and manufacturers in many sectors (e.g., automotive, aerospace, and biomedical (implants) industries) to use a mathematical methodology (such as topology and lattice optimization tools) to optimize material layout within a given design space, for a given set of masses and loads, materials, and boundary conditions as well as constraints with the objective of maximizing performance (quasi static and dynamic mechanical behavior) of the system. This will help designers to conduct iterative analysis and select process parameter settings to optimize the shape and the density of infill for FFF-based 3D printed parts

Sample preparation and mechanical testing
Constitutive material behavior of 3D printed specimens
Homogenization
Results and discussion
RVE with rectilinear pattern
Numerical versus experimental 3PB and shear testing
FE microstructural analysis of 3PB and shear testing
Numerical versus experimental tensile testing
FE microstructural analysis of tensile testing
Verification of RVE properties
Conclusion
Method of testing

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