Numerical and theoretical analysis of the dynamic mechanical behaviour of a modified rhombic dodecahedron lattice struct
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Numerical and theoretical analysis of the dynamic mechanical behaviour of a modified rhombic dodecahedron lattice structure Xiaofei Cao . Xianben Ren . Tian Zhao . Ying Li . Dengbao Xiao . Daining Fang
Received: 10 January 2020 / Accepted: 18 August 2020 Springer Nature B.V. 2020
Abstract Metallic lattice structures have been widely utilized in different fields such as automobile, aerospace and so on, owing to their superior mechanical properties and energy absorption characteristics. In this paper, the enhanced dynamic mechanical properties of the modified rhombic dodecahedron (RD) lattice structures were investigated systematically through numerical simulation and theoretical analysis. Results indicated that compressive modulus, initial yield strength and normalized specific energy absorption (SEA) of the modified RD lattice structures all exhibited a quadratic growth trend with the increase of relative density beyond following the traditional law. Meanwhile, the plateau stress and normalized SEA exhibited certain sensitivity to the strain rate and almost linearly increased as the loading rate increased. Finally, a modified rigid-perfectly plastic-locking shock wave model was also proposed, and the X. Cao X. Ren T. Zhao Y. Li (&) D. Xiao (&) D. Fang Beijing Key Laboratory of Lightweight Multi-functional Composite Materials and Structures, Institute of Advanced Structure Technology, Beijing Institute of Technology, Beijing 100081, People’s Republic of China e-mail: [email protected] D. Xiao e-mail: [email protected] X. Cao X. Ren Y. Li D. Xiao D. Fang State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, People’s Republic of China
predicted results of the proposed modified shock wave model were consistent with the simulation results. Keywords Lattice structure Rhombic dodecahedron Dynamic mechanical properties Shock wave model
1 Introduction Metallic cellular materials have been widely utilized in different fields such as automobile, aerospace and so on, owing to their superior mechanical properties and remarkable energy absorption characteristics (Ashby et al. 2000, 2007; Choi and Chae 2015; Dirrenberger et al. 2012; Wang et al. 2020; Xiao et al. 2019; Cao et al. 2020b). Among the cellular materials, threedimensional periodic lattice materials with ordered unit cells have received much attention for its flexible configuration and predictable mechanical properties. Benefitting from the thriving additive manufacturing (AM) technology, three-dimensional periodic lattice structures with novel and complex configurations could be fabricated precisely and conveniently. In recent decades, mechanical properties of the additive-manufactured metallic lattice structures under quasi-static and dynamic loadings have been investigated through theoretical analysis (Dirrenberger et al. 2012; Ptochos 2012; Ushijima et al. 2010), experiment test (Li et al. 2014; Maskery et al.
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