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research-article

Analytical solution for effective Young?s modulus of lattice structure with triangular unit cells manufactured by Additive Manufacturing

[+] Author and Article Information
Jie Niu

Department of Mechanical, Materials and Manufacturing Engineering, The University of Nottingham Ningbo China, Ningbo 315100, China
jie.niu@nottingham.edu.cn

Hui Leng Choo

Department of Mechanical, Materials and Manufacturing Engineering, The University of Nottingham Ningbo China, Ningbo 315100, China; School of Engineering, Taylor's University, No. 1 Jalan Taylor's, 47500 Subang Jaya, Selangor Darul Ehsan, Malaysia
huileng.choo@nottingham.edu.cn

Wei Sun

Department of Mechanical, Materials and Manufacturing Engineering, The University of Nottingham, Nottingham NG7 2RD, United Kingdom
w.sun@nottingham.ac.uk

Sui Him Mok

SLM Solutions Singapore Pte Ltd, 25 International Business Park, Singapore
edwin.mok@slm-solutions.com

1Corresponding author.

ASME doi:10.1115/1.4040159 History: Received January 03, 2018; Revised April 26, 2018

Abstract

Research on materials, design, processing and manufacturability of parts fabricated by Additive Manufacturing (AM) has been investigated significantly in the past. However, limited research on mechanical behaviour of cellular lattice structures by AM was carried out. In this paper, effective tensile Young's modulus, E*, of triangular lattice structures was determined. Firstly, analytical solution was derived based on Euler-Bernoulli beam theory. Then numerical results of E* were obtained by finite element analysis (FEA) for lattice structures classified by three shape parameters. The effects of side length, L, beam thickness, t, and height, h, on E* were investigated individually. FEA results revealed that there is a relationship between E* and the relative density and shape parameters. Among them, t has the most significant effect on E*. Numerical results were also compared with the results from modified general function for cellular structures and modified formula for triangular honeycomb. The E* predicted by the proposed analytical solution shows the best agreement with the numerical results. Finally, tensile tests were carried out using AlSi10Mg triangular lattice structures manufactured by Selective Laser Melting (SLM) process. The experimental results show that both analytical and numerical solutions can predict E* with good accuracy. In the future, the proposed solution can be used to design structures with triangular unit cells.

Copyright (c) 2018 by ASME
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