Deformation mode and energy absorption of polycrystal-inspired square-cell lattice structures

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APPLIED MATHEMATICS AND MECHANICS (ENGLISH EDITION) https://doi.org/10.1007/s10483-020-2648-8

Deformation mode and energy absorption of polycrystal-inspired square-cell lattice structures∗ Yijie BIAN1 ,

Puhao LI1 , Fan YANG1,† , Peng WANG1 , Weiwei LI2 , Hualin FAN2,†

1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China; 2. Research Center of Lightweight Structures and Intelligent Manufacturing, State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China (Received Mar. 9, 2020 / Revised Jun. 1, 2020)

Abstract Lattice structures are widely used in many engineering fields due to their excellent mechanical properties such as high specific strength and high specific energy absorption (SEA) capacity. In this paper, square-cell lattice structures with different lattice orientations are investigated in terms of the deformation modes and the energy absorption (EA) performance. Finite element (FE) simulations of in-plane compression are carried out, and the theoretical models from the energy balance principle are deve-loped for calculating the EA of these lattice structures. Satisfactory agreement is achieved between the FE simulation results and the theoretical results. It indicates that the 30◦ oriented lattice has the largest EA capacity. Furthermore, inspired by the polycrystal microstructure of metals, novel structures of bi-crystal lattices and quad-crystal lattices are developed through combining multiple singly oriented lattices together. The results of FE simulations of compression indicate that the EA performances of symmetric lattice bi-crystals and quad-crystals are better than those of the identical lattice polycrystal counterparts. This work confirms the feasibility of designing superior energy absorbers with architected meso-structures from the inspiration of metallurgical concepts and microstructures. Key words tion (EA)

lattice structure, quasi-static loading, deformation mode, energy absorp-

Chinese Library Classification O342 2010 Mathematics Subject Classification

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74A05, 74K10

Introduction

Cellular structures have been widely used in industry including aerospace engineering, mechanical engineering, and civil engineering due to their excellent properties such as lightweight, ∗ Citation: BIAN, Y. J., LI, P. H., YANG, F., WANG, P., LI, W. W., and FAN, H. L. Deformation mode and energy absorption of polycrystal-inspired square-cell lattice structures. Applied Mathematics and Mechanics (English Edition) (2020) https://doi.org/10.1007/s10483-020-2648-8 † Corresponding authors, E-mails: [email protected]; [email protected] Project supported by the National Natural Science Foundation of China (No. 11772231) ©Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2020

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Yijie BIAN, Puhao LI, Fan YANG, Peng WANG, Weiwei LI, and Hualin FAN

high specific strength, and excellent energy absorption (EA) performance[1–3] . Besides the random cellular st