Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (10): 1561-1582.doi: https://doi.org/10.1007/s10483-020-2648-8

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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. 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:2020-03-09 Revised:2020-06-01 Published:2020-10-09
  • Contact: Fan YANG, Hualin FAN E-mail:fanyang@tongji.edu.cn;fhl15@nuaa.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (No. 11772231)

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 developed 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: lattice structure, quasi-static loading, deformation mode, energy absorption (EA)

2010 MSC Number: 

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